Thermochemistry/Calorimetry LEC Heat capacity of gases. What you need: What you can learn about. Principle and tasks
|
|
- Justina Rodgers
- 5 years ago
- Views:
Transcription
1 Thermochemistry/Calorimetry LEC 02 What you can learn about 1st law of thermodynamics Universal gas constant Isobars Isotherms Isochors and adiabatic changes of state Principle and tasks Heat is added to a gas in a glass vessel by an electric heater which is switched on briefly. The temperature increase results in a pressure increase which is measured with a manometer. Under isobaric conditions a temperature increase results in a volume dilatation that can be read from a gas syringe. The molar heat capacities C v and C p are calculated from pressure and volume change. What you need: Experiment P with Cobra3 Basic-Unit Experiment P with digital counter Precision manometer Barometer/Manometer, hand.held Cobra3 Basic-Unit, USB Power supply12 VDC/2 A Cobra3 current probe 6A Software Cobra3 Universal writer software Digital counter, 4 decades Digital multimeter Mariotte flask, 10 l Gas syringe, 100 ml Stopcock, 1.way, straight Stopcock, 3.way, T.shaped, capillary Rubber Stopper 26/32, 3 holes Rubber Stopper 50.5/59.5, 1 hole Rubber tubing, d = 6 mm Nickelel ectrode, d = 3 mm, with socket Nickelel ectrode, 76 mm x 40 mm Chrome-nickel wire, d = 0,1 mm Scissors, straight, blunt, l = 140 mm Two-way switch, single pole Push-button switch Connecting cord, 32 A, Connecting cord, 32 A, Connecting cord, 32 A, Connecting cord, 32 A, Connecting cord, 32 A, Tripod base -PASS Retord stand, 210 x 130 mm, h Pressure change p as a func tion of the heat-up time t. U = 4.59 V, I = 0.43 A. Universal clamp Right angle clamp PC, Windows XP or higher P /11 24 Laboratory Experiments Chemistry PHYWE Systeme GmbH & Co. KG D Göttingen
2 LEC Related topics Equation of state for ideal gases, 1st law of thermodynamics, universal gas constant, degree of freedom, mole volumes, isobars, isotherms, isochors and adiabatic changes of state. Principle Heat is added to a gas in a glass vessel by an electric heater which is switched on briefly. The temperature increase results in a pressure increase, which is measured with a manometer. Under isobaric conditions, a temperature increase results in a volume dilatation which can be read from a gas syringe. The molar heat capacities C V and C p are calculated from the pressure or volume change. Equipment Precision manometer Barometer/Manometer, hand-held Digital counter, 4 decades * 1 Digital multimeter * 2 Mariotte flask, 10 l Gas syringe, 100 ml Stopcock, 1-way, straight Stopcock, 3-way, T-shaped, capillary Rubber stopper, d = 26 / 32 mm, 3 holes Rubber stopper, d = 50.5 / 59.5 mm, 1 hole Rubber tubing, d i = 6 mm Nickel electrode, d = 3 mm, with socket Nickel electrode, 76 x 40 mm Chrome-nickel wire, d = 0.1 mm, l = 100 m Scissors, straight, blunt, l = 140 mm Two-way switch, single pole * 1 Connecting cord, l = 750 mm, blue * 1 Connecting cord, l = 500 mm, red Connecting cord, l = 500 mm, yellow * 2 Connecting cord, l = 750 mm, red Connecting cord, l = 500 mm, blue * 3 Tripod base -PASS Retort stand, h = 750 mm Universal clamp Right angle clamp Changes in the equipment required for use of the Basic- Unit: (instead of * above mentioned) Cobra3 Basic-Unit, USB Power supply 12 V/ 2 A Cobra3 current probe 6 A Push-button switch Connecting cord, l = 500 mm, blue Cobra3 Universal writer software PC, Windows 95 or higher Tasks Determine the molar heat capacities of air at constant volume C V and at constant pressure C p. Set-up and procedure Perform the experimental set-up according to Fig. 1. Fig. 1: Experimental set-up (C V ). PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen P
3 LEC Insert the two nickel electrodes into two holes in the three-hole rubber stopper and fix the terminal screws to the lower ends of the electrodes. Screw two pieces of chrome nickel wire, which are each about 15 cm long, into the clamps between these two electrodes so that they are electrically connected in parallel. The wires must not touch each other. Insert the one-way stopcock into the third hole of the stopper and insert the thus-prepared stopper in the lower opening of the bottle. The 5 V output of the electrical 4-decade digital counter serves as the power source. The electrical circuit is illustrated in Fig. 3. To determine C V, connect the precision manometer to the bottle with a piece of tubing. To do this, insert the second stopper, which has been equipped with the three-way stopcock, into the upper opening of the bottle. The manometer must be positioned exactly horizontally. Read the pressure increase immediately after cessation of the heating process. The manometer must be filled with the oil which is supplied with the device. The scale is now calibrated in hpa. The riser tube of the manometer must be well wetted before each measurement. Start the measuring procedure by activating the push-button switch. The measuring period should be as short as possible (less than one second). Determine the current which flows during the measurement and the voltage separately at the end of the measuring series. To achieve this, connect one of the digital multimeters in series as an ammeter and the other in parallel as a voltmeter. Perform at least 10 measurements. After each measurement, perform a pressure equalisation with the ambient atmospheric pressure by opening the three-way cock. The electrical current which flows during the measurements must not be too strong, i.e. it must be sufficiently weak to limit the pressure increase due to the heating of the gas to a maximum of 1 hpa. Fig. 3: Connecting the counter-timer. Fig. 2: Experimental set-up (C p ) 2 P PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen
4 LEC For this reason it may be necessary to use only one heating wire. In order to be able to determine C p, replace the manometer with two gas syringes which are connected to the bottle via the three-way stopcock (see Fig. 2). One of the gas syringes is mounted horizontally and the other is positioned vertically with its plunger oriented downwards. While making measurements, the three-way cock must be positioned in such a manner that it only connects the vertical syringe with the bottle. To increase the plunger's mass, a nickel sheet metal electrode is attached to it with two-sided tape. Start the plunger rotating manually before the measurement so that it rotates throughout measurement. In this manner the static friction between the plunger and the body of the syringe is minimised and the measured values are sufficiently exact. If the plunger stops prematurely, the volume increase ( V) read on the vertically mounted syringe is too low. Determine the air pressure, which is required for the calculations, with the aid of a digital barometer. For the pressure in the gas container use a value which lies 14 hpa below the atmospheric pressure due to the weight of the syringe s plunger. For the determination of C p, also perform at least 10 measurements. After each measurement remove air from the system until the vertical syringe again exhibits the initial volume determined in the first measurement. To do this, turn the three-way cock in such a manner that both syringes and the bottle are connected with each other. Set-up and procedure with Cobra3 Perform the experimental set-up according to Fig. 4. Insert the two nickel electrodes into two holes in the threehole rubber stopper and fix the terminal screws to the lower ends of the electrodes. Screw two pieces of chrome nickel wire, which are each about 15 cm long, into the clamps between these two electrodes so that they are electrically connected in parallel. The wires must not touch each other. Insert the one-way stopcock into the third hole of the stopper and insert the thus-prepared stopper in the lower opening of the bottle. The 5 V output of the Cobra3 Basic-Unit serves as the power source. To determine C V, connect the precision manometer to the bottle with a piece of tubing. To do this, insert the second stopper, which has been equipped with the three-way stopcock, into the upper opening of the bottle (Fig. 4). The manometer must be positioned exactly horizontally. Read the pressure increase immediately after cessation of the heating process. The manometer must be filled with the oil which is supplied with the device. The scale is now calibrated in hpa. The riser tube of the manometer must be well wetted before each measurement. Connect the current sensor (A) to the first analog input of the Cobra3 Basic-Unit. To measure the voltage (V) connect the cords to the second analog input. Fig. 4: Experimental set-up (C V ). PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen P
5 LEC Connect the Cobra3 Basic-Unit to the computer port COM1, COM2 or to USB port (use USB to RS232 Adapter). Start the Measure program and select Cobra3 Universal Writer Gauge. Begin recording the measured values using the parameters given in Fig. 6. Start the measuring procedure by activating the push-button switch. The measuring period should be as short as possible (ten seconds). Determine the current which flows during the measurement and the voltage separately at the end of the measuring series. Perform at least 10 measurements. After each measurement, perform a pressure equalisation with the ambient atmospheric pressure by opening the three-way cock. The electrical current which flows during the measurements must not be too strong, i.e. it must be sufficiently weak to limit the pressure increase due to the heating of the gas to a maximum of 1 hpa. For this reason it may be necessary to use only one heating wire. In order to be able to determine C p replace the manometer with two gas syringes, which are connected to the bottle via the three-way stopcock (see Fig. 5). Fig. 6: Measuring parameters Fig. 5: Experimental set-up (C p ) 4 P PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen
6 LEC For the determination of C p, also perform at least 10 measurements. After each measurement remove air from the system until the vertical syringe again exhibits the initial volume determined in the first measurement. it follows that C V f 2 R (9) Theory and evaluation The first law of thermodynamics can be illustrated particularly well with an ideal gas. This law describes the relationship between the change in internal intrinsic energy U i, the heat exchanged with the surroundings Q and the constant-pressure change pdv. dq = du i + pdv (1) The molar heat capacity C of a substance results from the amount of absorbed heat and the temperature change per mole: n Number of moles One differentiates between the molar heat capacity at constant volume C V and the molar heat capacity at constant pressure C p. According to equations (1) and (2) and under isochoric conditions (V const., dv = 0), the following is true: and under isobaric conditions (p = const., dp = 0): Taking the equation of state for ideal gases into consideration: (2) (3) (4) pv = n R T (5) it follows that the difference between C p and C V for ideal gases is equal to the universal gas constant R. C p C V = R (6) It is obvious from equation (3) that the molar heat capacity C V is a function of the internal intrinsic energy of the gas. The internal energy can be calculated with the aid of the kinetic gas theory from the number of degrees of freedom f: where C 1 n dq dt C V 1 n du i dt C p 1 n k B = J/K (Boltzmann Constant) N A = mol -1 (Avogadro's number) Through substitution of a du i dv p dt dt b U i 1 2 fk B N A T n R = k B N A (8) (7) and taking equation (6) into consideration: (10) The number of degrees of freedom of a molecule is a function of its structure. All particles have 3 degrees of translational freedom. Diatomic molecules have an additional two degrees of rotational freedom around the principal axes of inertia. Triatomic molecules have three degrees of rotational freedom. Air consists primarily of oxygen (approximately 20%) and nitrogen (circa 80%). As a first approximation, the following can be assumed to be true for air: and f = 5 C V = 2.5 R C V = 20.8 J K -1 mol -1 C p = 3.5 R C p = 29.1 J K -1 mol -1. Determination of C p The energy Q is supplied to the gas by the electrical heater: where U C p a f 2 2 Q = U I t (11) I t Voltage which is applied to the heater wires (measured separately) Current which flows through the heater wires (measured separately) Period of time in which current flowed through the wires At constant pressure the temperature increase T induces a volume increase V. From the equation of state for ideal gases, it follows that: V nr p T V T T (12) and taking equation (2) into consideration, the following results from equations (11) and (12): C p 1 n U I t V V T (13) The molar volume of a gas at standard pressure p 0 = 1013 hpa and T 0 = 273.2K is: V 0 = l/mol. The molar volume is: V mol p 0 V 0 T 0 T p b R (14) PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen P
7 LEC In accordance with the following, the number of moles in volume V is: (15) C p can be calculated using equation (13) under consideration of (14) and (15): (16) The pressure p used in equation (16) is calculated from the atmospheric pressure minus the pressure reduction due to the weight of the syringe's plunger. The pressure reduction is calculated from: where p n p V V mol C p p 0 V 0 T 0 p K m K g F K kg 9.81 ms 2 = m 2 = 1480 kg m -1 s -1 = 14.8 hpa = p a p K = 975 hpa 14.8 hpa = 960 hpa UI p t V Atmospheric pressure minus the pressure reduction due to the weight of the syringe's plunger p K Pressure reduction due to the weight of the plunger p a Measured atmospheric pressure (= kg) m K Mass of the plunger g Acceleration of gravity (= 9.81 m s -2 ) F K Area of the plunger (= m 2 ) The slope of the straight line in Fig. 7 is equal to with V t = U = 4.59 V and I = 0.43 A C p is obtained with equation (16) C p = J K -1 mol -1 ±7% Determination of C V Under isochoric conditions, the temperature increase T produces a pressure increase p. The pressure measurement results in an alteration of the volume which must be taken into consideration in the calculation: It follows from equations (3) and (1) that: C V 1 n ml s T p nr V V T p 1p V V p2 nr pv Q p V T and with equations (11) and (17) one obtains: C p V U I t p V n T p V V p (17) (18) (19) The indicator tube in the manometer has a radius of r = 2 mm. A pressure change of p = hpa causes an alteration of 1 cm in length; the corresponding change in volume is therefore: V = a p (20) Fig. 7: Volume change V as a function of the heat-up time t. U = 4.59 V, I = 0.43 A. where thus a = pr 2 1 cm 3 = cm hpa hpa (21) pvu I t ap p C V = nt (ap V) p (22) Taking equations (14) and (15) into consideration, it follows that: p 0 V 0 U I t C V = a (23) (ap V) p ap ap V b T 0 The slope of the straight line in Fig. 8 is equal to p t = hpa s 6 P PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen
8 LEC Fig. 8: Pressure change p as a function of the heat-up time t. U = 4.59 V, I = 0.43 A As a consequence of heat losses to the surroundings, the experimentally determined values for C p and C V are somewhat larger than the theoretical ones. The difference between the molar heat capacities provides the value for R. The experimental result is R = C p C v = 9.27 J K -1 mol -1 ±9% Value taken from literature: R = 8.3 J K -1 mol -1 Note Using this apparatus, other gases (e.g. carbon dioxide or argon) can also be measured. These gases are then introduced through the stopcock on the bottom of the vessel. C v can be calculated using equation (23) if equation (21) is taken into consideration. With the atmospheric pressure p = 1011 hpa (this part of the experiment was done the next day), a volume of V = 10 l U = 4.59 and = 0.43 A the following value for C V is obtained: C V = J K -1 mol -1 ±5% Data and Results Literature values: C p(oxygen) = 29.4 J K -1 mol -1 C V(oxygen) = 21.1 J K -1 mol -1 C p(nitrogen) = 29.1 J K -1 mol -1 C V(nitrogen) = 20.8 J K -1 mol -1 R = J K -1 mol -1 = hpa l K -1 mol -1 Experimental results: C p (air) = 33 J K -1 mol -1 C v (air) = 26 J K -1 mol -1 PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen P
9 LEC 8 P PHYWE series of publications Laboratory Experiments Chemistry PHYWE SYSTEME GMBH & Co. KG D Göttingen
Heat capacity of gases
Heat capacity of gases LEP Related topics Equation of state for ideal gases, 1st law of thermodynamics, universal gas constant, degree of freedom, mole volumes, isobars, isotherms, isochors and adiabatic
More information1 Heat capacity of gasses
1 Heat capacity of gasses 1.1 Objective Determine the molar heat capacities of air at constant volume Cv and at constant pressure Cp. 1.2 Principle and Task Heat is added to a gas in a glass vessel by
More informationTable of Contents. Experiment 1: Vapour Pressure of Water at High Temperature 2. Experiment 2: Heat Capacity of Gases 5
1 Table of Contents EXPERIMENT PAGE Experiment 1: Vapour Pressure of Water at High Temperature 2 Experiment 2: Heat Capacity of Gases 5 Experiment 3: Joule-Thomson Effect 11 Experiment 4: Thermal and Electrical
More informationThermochemistry/Calorimetry. Determination of the enthalpy of vaporization of liquids LEC 02. What you need: What you can learn about
LEC 02 Thermochemistry/Calorimetry Determination of the enthalpy of vaporization of liquids What you can learn about Enthalpy of vaporisation Entropy of vaporisation Trouton s rule Calorimetry Heat capacity
More informationThermochemistry/Calorimetry. Determination of the enthalpy of combustion with a calorimetric bomb LEC 02. What you need:
LEC 02 Thermochemistry/Calorimetry with a calorimetric bomb What you can learn about 1st law of thermodynamics Hess law Enthalpy of combustion Enthalpy of formation Heat capacity Principle and tasks The
More informationStirling engine with Cobra3
Related topics First and second law of thermodynamics, reversible cycles, isochoric and isothermal changes, gas laws, efficiency, Stirling engine, conversion of heat, heat pump. Principle The Stirling
More informationElectrochemistry. Conductivity of strong and weak electrolytes LEC 06. What you need: What you can learn about. Principle and tasks
LEC 06 Electrochemistry What you can learn about Kohlrausch s law Equivalent conductivity Temperature-dependence of conductivity Ostwald s dilution law Principle and tasks It is possible to differentiate
More informationThermodynamics. Joule-Thomson effect Ideal and Real Gases. What you need: Complete Equipment Set, Manual on CD-ROM included
Ideal Real Gases Thermodynamics 30600 What you can learn about Real gas Intrinsic energy Gay-Lussac theory Throttling Van der Waals equation Van der Waals force Inverse Inversion temperature Principle:
More informationNewton s 2nd Law with demonstration track and Cobra4
Newton s 2nd Law with demonstration track TEP Related topics Velocity, acceleration, force, acceleration of gravity. Principle The distance-time law, the velocity-time law, and the relationship between
More informationEquation of state of ideal gases Students worksheet
3.2.1 Tasks For a constant amount of gas (in our case air) investigate the correlation between 1. Volume and pressure at constant temperature (Boyle-Marriotte s law) 2. Temperature and volume at constant
More information/15 Current balance / Force acting on a current-carrying conductor
Electricity Stationary currents /15 Current balance / Force acting on a current-carrying conductor What you can learn about Uniform magnetic field Magnetic induction (formerly magnetic-flux densitiy) Lorentz
More informationPhysical structure of matter Band gap of germanium with Cobra3. Solid-state Physics, Plasma Physics. What you need:
Physical structure of matter Solid-state Physics, Plasma Physics Band gap of germanium with Cobra3 What you can learn about Semiconductor Band theory Forbidden band Intrinsic conduction Extrinsic conduction
More informationSemiconductor thermogenerator
Semiconductor thermogenerator LEP 4.1.07 Related topics Seebeck effect (thermoelectric effect), thermoelectric e.m.f., efficiency, Peltier coefficient, Thomson coefficient, Seebeck coefficient, direct
More informationCapacitor in the AC circuit with Cobra3
Capacitor in the AC circuit with Cobra3 LEP Related Topics Capacitance, Kirchhoff s laws, Maxwell s equations, AC impedance, Phase displacement Principle A capacitor is connected in a circuit with a variable-frequency
More informationMechanics. Coupled Pendula with Cobra Dynamics. What you need:
Dynamics Mechanics 1.3.5 What you can learn about Spiral spring Gravity pendulum Spring constant Torsional vibration Torque Beat Angular velocity Angular acceleration Characteristic frequency Principle:
More informationCentripetal and centrifugal force
Introduction In the everyday language use, the centrifugal force is often referred to as the cause of the occurring force during a uniform non-linear motion. Situated in a moving object that changes its
More informationPhysical Structure of Matter Hall effect in p-germanium with Cobra3. Solid-state Physics, Plasma Physics.
Physical Structure of Matter Solid-state Physics, Plasma Physics Hall effect in p-germanium with Cobra3 What you can learn about Semiconductor Band theory Forbidden zone Intrinsic conductivity Extrinsic
More informationFree fall with an interface system
Related topics Motion along a straight line subject to constant acceleration, laws governing falling bodies, acceleration due to gravity. Principle and task The fall times t are measured for different
More informationLEP Newton s 2 nd Law / Air track with Cobra3. Related topics Linear motion, velocity, acceleration, conservation of energy.
Related topics Linear motion, velocity, acceleration, conservation of energy. Principle According to Newton s 2 nd law of motion for a mass point, the relationship between mass, acceleration and force
More informationTitration of a strong acid with a strong base with Cobra4
Titration of a strong acid with a strong base with Cobra4 TEC Related topics Strong and weak acids and bases, ph value, titration curves, equivalence point, potentiometry. Principle Hydrochloric acid is
More informationMoment of inertia and angular acceleration with Cobra 3
Principle A known torque is applied to a body that can rotate about a fixed axis with minimal friction. Angle and angular velocity are measured over the time and the moment of inertia is determined. The
More informationLEP Stirling engine
Stirling engine LEP Related topics First and second law of thermodynamics, reversible cycles, isochoric and isothermal changes, gas laws, efficiency, Stirling engine, conversion of heat, thermal pump.
More informationMechanics Moment and angular momentum. Dynamics. What you need:
Mechanics Dynamics Moment and angular momentum What you can learn about Circular motion Angular velocity Angular acceleration Moment of inertia Newton s laws Rotation Principle: The angle of rotation and
More informationChemical Kinetics. Reaction rate and activation energy of the acid hydrolysis of ethyl acetate LEC 05. What you need: What you can learn about
LEC 05 Chemical Kinetics Reaction rate and activation energy of the acid hydrolysis What you can learn about Reaction rate Rate law for first and second order reactions Reactions with pseudo-order Arrhenius
More informationElectrochemistry LEC Potentiometric ph titration (phosphoric acid in a soft drink) What you need: What you can learn about
Electrochemistry LEC 06 What you can learn about Galvanic cell Types of electrodes Nernst equation Potentiometry Principle and tasks The cell voltage and the Galvani voltage of the electrodes of an galvanic
More informationCopyright 2008, University of Chicago, Department of Physics. Experiment I. RATIO OF SPECIFIC HEATS OF GASES; γ C p
Experiment I RATIO OF SPECIFIC HEATS OF GASES; γ C p / C v 1. Recommended Reading M. W. Zemansky, Heat and Thermodynamics, Fifth Edition, McGraw Hill, 1968, p. 122-132, 161-2. 2. Introduction You have
More informationRelated concepts Electrolyte, electrical conductance, specific conductance, ion mobility, ion conductivity, conductometry, volumetry.
Conductometric titration with Cobra4 TEC Related concepts Electrolyte, electrical conductance, specific conductance, ion mobility, ion conductivity, conductometry, volumetry. Principle The electric conductivity
More informationMoment of inertia and angular acceleration with Cobra3
Moment of inertia and angular acceleration with Cobra3 LEP Related Topics Rotation, angular velocity, torque, angular acceleration, angular momentum, moment of inertia, rotational energy. Principle A known
More informationIdeal Gas Law Experiment
rev 05/2018 Ideal Gas Law Experiment Equipment List Qty Item Part number 1 Ideal Gas Law Apparatus TD-8596A 1 Pressure Sensor Absolute CI-6532A 1 Analog Adaptor Introduction The purpose of this lab is
More informationMoment of inertia and angular acceleration
Principle A known torque is applied to a body that can rotate about a fixed axis with minimal friction. Angle and angular velocity are measured over the time and the moment of inertia is determined. The
More informationMechanics. Surface tension by the ring method (Du Nouy method) Mechanics of Liquids and Gaseous Bodies. What you need:
Mechanics of Liquids and Gaseous Bodies Mechanics Surface tension by the ring method (Du Nouy method) What you can learn about Surface energy Interface Surface tension Adhesion Critical point Eötvös equation
More informationThermal and electrical conductivity of metals
Thermal and electrical conductivity of metals (Item No.: P2350200) Curricular Relevance Area of Expertise: Physics Education Level: University Topic: Thermodynamics Subtopic: Heat, Work, and the First
More informationElectrochemistry LEC 06. The Nernst equation. What you need: What you can learn about. Principle and tasks
Electrochemistry LEC 06 What you can learn about Electrode potentials and their concentration dependence Redox electrodes Electrochemical cells What you need: Principle and tasks expresses how the electrical
More informationMechanics. Centrifugal force Dynamics. What you need: Complete Equipment Set, Manual on CD-ROM included. What you can learn about
Dynamics Mechanics What you can learn about Centripetal force Rotary motion Angular velocity Apparent force Principle: A body with variable mass moves on a circular path with adjustable radius and variable
More informationCoulomb s law with Cobra3
Coulomb s law with Cobra3 LEP Related Topics Electric field, electric field strenght, electric flux, electrostatic induction, electric constant, surface charge density, dielectric displacement, electrostatic
More informationChapter 19 The First Law of Thermodynamics
Chapter 19 The First Law of Thermodynamics The first law of thermodynamics is an extension of the principle of conservation of energy. It includes the transfer of both mechanical and thermal energy. First
More informationConservation of momentum in a central elastic collision with the demonstration track and timer 4 4
Introduction An impulse acting on an object is defined as the change in momentum caused by a force F over a short period of time t. The momentum p is defined as the product of force and time. It is conserved,
More informationMagnetic field of single coils/ Biot-Savart s law with Cobra4
Magnetic field of single coils/ TEP Related topics Wire loop, Biot-Savart s law, Hall effect, magnetic field, induction, magnetic flux density. Principle The magnetic field along the axis of wire loops
More informationElectricity. Electrolysis. Current and the transport of charge DETERMINATION OF THE FARADAY CONSTANT BASIC PRINCIPLES
Electricity Current and the transport of charge Electrolysis DETERMINATION OF THE FARADAY CONSTANT Production of hydrogen by means of electrolysis and determining the volume of the hydrogen V. Determining
More informationEXPT 6. Boyle's Law and Graham's Law
EXPT 6. Boyle's Law and Graham's Law [Key Contents] pressure-volume relation in gases, atomic model, ideal gas law kinetic theory of gases, effusion rate, diffusion rate, molecular weight [References]
More informationMoment and angular momentum
Moment and angular momentum TEP Related topics Circular motion, angular velocity, angular acceleration, moment of inertia, Newton s Laws, rotation. Principle The angle of rotation and angular velocity
More informationDetermination of freezing points of pure substances with Cobra4 TEC
Determination of freezing points of pure substances TEC Related concept Crystallization point, Gibbs free energy, enthalpy, entropy, heat of fusion, freezing point depression. Principle When a pure substance
More informationKINETIC THEORY. was the original mean square velocity of the gas. (d) will be different on the top wall and bottom wall of the vessel.
Chapter Thirteen KINETIC THEORY MCQ I 13.1 A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of 500m s 1
More informationMechanics. Reversible pendulum Dynamics. What you need: Complete Equipment Set, Manual on CD-ROM included. What you can learn about
Dynamics Mechanics What you can learn about Physical pendulum Moment of inertia Steiner s law Reduced length of pendulum Terrestrial gravitational acceleration Principle: By means of a reversible pendulum,
More informationMeasurement of basic constants: length, weight and time
Measurement of basic constants: length, weight and time TEP Related topics Length, diameter, inside diameter thickness, curvature, vernier, weight resolution, time measurement. Principle Caliper gauges,
More informationSpecific Heat of Diatomic Gases and. The Adiabatic Process
Specific Heat of Diatomic Gases and Solids The Adiabatic Process Ron Reifenberger Birck Nanotechnology Center Purdue University February 22, 2012 Lecture 7 1 Specific Heat for Solids and Diatomic i Gasses
More informationElectricity. Temperature dependence of different resistors and diodes /15. Stationary currents. What you need:
Stationary currents Electricity Temperature dependence of different resistors and diodes /15 What you can learn about Carbon film resistor Metallic film resistor PTC NTC Z diode Avalanche effect Zener
More informationPhysical structure of matter. Duane-Hunt displacement law and Planck's quantum of action X-ray Physics. What you need:
X-ray Physics Physical structure of matter Duane-Hunt displacement law and Planck's quantum of action What you can learn about X-ray tube Bremsstrahlung Characteristic X-ray radiation Energy levels Crystal
More information12.01 Determination of the isoelectric point of an amino acid (glycine)
Biochemistry LEB 12 Determination of the isoelectric point of an amino acid (glycine) What you can learn about Isoelectric point Acidic anions Basic cations Zwitterions Equivalence (inflection) points
More informationLEP Hall effect in p-germanium with Cobra3
Hall effect in p-germanium with Cobra3 LEP 5.3.01-11 Related topics Semiconductor, band theory, forbidden zone, intrinsic conductivity, extrinsic conductivity, valence band, conduction band, Lorentz force,
More informationThe First Law of Thermodynamics
Chapter 19 The First Law of Thermodynamics PowerPoint Lectures for University Physics, Thirteenth Edition Hugh D. Young and Roger A. Freedman Lectures by Wayne Anderson Goals for Chapter 19 To represent
More informationPhysics 53. Thermal Physics 1. Statistics are like a bikini. What they reveal is suggestive; what they conceal is vital.
Physics 53 Thermal Physics 1 Statistics are like a bikini. What they reveal is suggestive; what they conceal is vital. Arthur Koestler Overview In the following sections we will treat macroscopic systems
More informationDownloaded from
Chapter 13 (Kinetic Theory) Q1. A cubic vessel (with face horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of500 ms in vertical direction.
More informationIdeal Gases. 247 minutes. 205 marks. theonlinephysicstutor.com. facebook.com/theonlinephysicstutor. Name: Class: Date: Time: Marks: Comments:
Ideal Gases Name: Class: Date: Time: 247 minutes Marks: 205 marks Comments: Page 1 of 48 1 Which one of the graphs below shows the relationship between the internal energy of an ideal gas (y-axis) and
More informationLecture 5. PHYC 161 Fall 2016
Lecture 5 PHYC 161 Fall 2016 Ch. 19 First Law of Thermodynamics In a thermodynamic process, changes occur in the state of the system. Careful of signs! Q is positive when heat flows into a system. W is
More informationUnit 05 Kinetic Theory of Gases
Unit 05 Kinetic Theory of Gases Unit Concepts: A) A bit more about temperature B) Ideal Gas Law C) Molar specific heats D) Using them all Unit 05 Kinetic Theory, Slide 1 Temperature and Velocity Recall:
More informationPhysics 4C Chapter 19: The Kinetic Theory of Gases
Physics 4C Chapter 19: The Kinetic Theory of Gases Whether you think you can or think you can t, you re usually right. Henry Ford The only thing in life that is achieved without effort is failure. Source
More informationChapter 15 Thermal Properties of Matter
Chapter 15 Thermal Properties of Matter To understand the mole and Avogadro's number. To understand equations of state. To study the kinetic theory of ideal gas. To understand heat capacity. To learn and
More informationCh. 19: The Kinetic Theory of Gases
Ch. 19: The Kinetic Theory of Gases In this chapter we consider the physics of gases. If the atoms or molecules that make up a gas collide with the walls of their container, they exert a pressure p on
More informationTEC. Titration curves and buffering capacity with Cobra4
Related concept Strong and weak electrolytes, hydrolysis, dissociation of water, amphoteric electrolytes, isoelectric point, law of mass action, indicators, glass electrode, activity coefficient, buffering
More informationLecture 7: Kinetic Theory of Gases, Part 2. ! = mn v x
Lecture 7: Kinetic Theory of Gases, Part 2 Last lecture, we began to explore the behavior of an ideal gas in terms of the molecules in it We found that the pressure of the gas was: P = N 2 mv x,i! = mn
More informationStoichiometry Rockets
Stoichiometry Rockets The objective of this lab is to to: calculate the needed volume of fuel to react with a given volume of gas and result in a productive explosion determine the heat of the reaction
More informationPLANNING EXPERIMENT (SECTION B)
SIMPLE PENDULUM OF Period depends on length of pendulum Length increase, period increase To investigate the relationship between period and length of pendulum MV : length of pendulum RV : period FV : angle
More informationElementary charge and Millikan experiment Students worksheet
Tasks This experiment deals with the observation of charged oil droplets, which are accelerated between two capacitor plates.. Measure some rise and fall times of oil droplets at different voltages. Determine
More informationThermodynamics and Atomic Physics II
Thermodynamics and Atomic Physics II 1. Heat from a source at 550 K is added to the working fluid of an engine operating at a steady rate. The temperature of the surroundings is 300 K. The efficiency of
More informationPhysical Structure of Matter. Hall effect in p-germanium Solid-state Physics, Plasma Physics. What you need:
Solid-state Physics, Plasma Physics Physical Structure of Matter What you can learn about Semiconductor Band theory Forbidden zone Intrinsic conductivity Extrinsic conductivity Valence band Conduction
More informationIdeal Gas Law and Absolute Zero
Experiment IX Ideal Gas Law and Absolute Zero I. Purpose The purpose of this lab is to examine the relationship between the pressure, volume and temperature of air in a closed chamber. To do this, you
More informationTemperature Thermal Expansion Ideal Gas Law Kinetic Theory Heat Heat Transfer Phase Changes Specific Heat Calorimetry Heat Engines
Temperature Thermal Expansion Ideal Gas Law Kinetic Theory Heat Heat Transfer Phase Changes Specific Heat Calorimetry Heat Engines Zeroeth Law Two systems individually in thermal equilibrium with a third
More informationSpeed Distribution at CONSTANT Temperature is given by the Maxwell Boltzmann Speed Distribution
Temperature ~ Average KE of each particle Particles have different speeds Gas Particles are in constant RANDOM motion Average KE of each particle is: 3/2 kt Pressure is due to momentum transfer Speed Distribution
More informationElectricity. Semiconductor thermogenerator Stationary currents. What you need:
Stationary currents Electricity Semiconductor thermogenerator What you can learn about Seebeck effect (thermoelectric effect) Thermoelectric e.m.f. Efficiency Peltier coefficient Thomson coefficient Seebeck
More informationHandout 11: Ideal gas, internal energy, work and heat. Ideal gas law
Handout : Ideal gas, internal energy, work and heat Ideal gas law For a gas at pressure p, volume V and absolute temperature T, ideal gas law states that pv = nrt, where n is the number of moles and R
More informationGeneral Physics I (aka PHYS 2013)
General Physics I (aka PHYS 2013) PROF. VANCHURIN (AKA VITALY) University of Minnesota, Duluth (aka UMD) OUTLINE CHAPTER 12 CHAPTER 19 REVIEW CHAPTER 12: FLUID MECHANICS Section 12.1: Density Section 12.2:
More informationChapter 19: The Kinetic Theory of Gases Questions and Example Problems
Chapter 9: The Kinetic Theory of Gases Questions and Example Problems N M V f N M Vo sam n pv nrt Nk T W nrt ln B A molar nmv RT k T rms B p v K k T λ rms avg B V M m πd N/V Q nc T Q nc T C C + R E nc
More informationX-ray fluorescence analysis - calibration of the X-ray energy detector
X-ray fluorescence analysis - TEP Related topics Bremsstrahlung, characteristic X-radiation, energy levels, fluorescence radiation, conduction processes in semiconductors, doping of semiconductors, pin-diodes,
More informationAlpha-Energies of different sources with Multi Channel Analyzer
Physical Structure of Matter Radioactivity Alpha-Energies of different sources with Multi Channel Analyzer What you can learn about Decay series Radioactive equilibrium Isotopic properties Decay energy
More informationChapter 11 Ideal gases
OCR (A) specifications: 5.4.10c,d,e,i,j,k Chapter 11 Ideal gases Worksheet Worked examples Practical: Determining absolute zero of temperature from the pressure law End-of-chapter test Marking scheme:
More informationPhysics Fall Mechanics, Thermodynamics, Waves, Fluids. Lecture 32: Heat and Work II. Slide 32-1
Physics 1501 Fall 2008 Mechanics, Thermodynamics, Waves, Fluids Lecture 32: Heat and Work II Slide 32-1 Recap: the first law of thermodynamics Two ways to raise temperature: Thermally: flow of heat Energy
More informationSpeed Distribution at CONSTANT Temperature is given by the Maxwell Boltzmann Speed Distribution
Temperature ~ Average KE of each particle Particles have different speeds Gas Particles are in constant RANDOM motion Average KE of each particle is: 3/2 kt Pressure is due to momentum transfer Speed Distribution
More informationPhase Changes and Latent Heat
Review Questions Why can a person remove a piece of dry aluminum foil from a hot oven with bare fingers without getting burned, yet will be burned doing so if the foil is wet. Equal quantities of alcohol
More informationElectric Field Mapping
PC1143 Physics III Electric Field Mapping 1 Objectives Map the electric fields and potentials resulting from three different configurations of charged electrodes rectangular, concentric, and circular.
More information(2) The volume of molecules is negligible in comparison to the volume of gas. (3) Molecules of a gas moves randomly in all direction.
9.1 Kinetic Theory of Gases : Assumption (1) The molecules of a gas are identical, spherical and perfectly elastic point masses. (2) The volume of molecules is negligible in comparison to the volume of
More informationPHYSICS 221, FALL 2010 FINAL EXAM MONDAY, DECEMBER 13, 2010
PHYSICS 221, FALL 2010 FINAL EXAM MONDAY, DECEMBER 13, 2010 Name (printed): Nine-digit ID Number: Section Number: Recitation Instructor: INSTRUCTIONS: i. Put away all materials except for pens, pencils,
More informationPhysical Structure of Matter
Physics of the Electron Physical Structure of Matter Planck s quantum of action from the photoelectric effect -01/05 What you can learn about External photoelectric effect Work function Absorption Photon
More information4. All questions are NOT ofequal value. Marks available for each question are shown in the examination paper.
THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF PHYSICS \1111~11\llllllllllllftllll~flrllllllllll\11111111111111111 >014407892 PHYS2060 THER1\1AL PHYSICS FINAL EXAMINATION SESSION 2 - NOVEMBER 2010 I. Time
More informationUniformly accelerated motion with an accelerating mass with the demonstration track and timer 4 4
Introduction If a constant force acts on an object, the object is subject to constant acceleration. The aim of this experiment is to use a uniformly accelerated cart in order to demonstrate that its velocity
More informationIn this experiment, the concept of electric field will be developed by
Physics Equipotential Lines and Electric Fields Plotting the Electric Field PURPOSE MATERIALS 5 alligator clip leads 2 batteries, 9 V 2 binder clips, large computer In this experiment, the concept of electric
More informationU = 4.18 J if we heat 1.0 g of water through 1 C. U = 4.18 J if we cool 1.0 g of water through 1 C.
CHAPER LECURE NOES he First Law of hermodynamics: he simplest statement of the First Law is as follows: U = q + w. Here U is the internal energy of the system, q is the heat and w is the work. CONVENIONS
More informationCONSTANT PRESSURE CALORIMETRY: A STUDY OF GLYCINE PROTON-TRANSFER ENTHALPIES 1
CONSTANT PRESSURE CALORIMETRY: A STUDY OF GLYCINE PROTON-TRANSFER ENTHALPIES 1 OBJECTIVES 1. To determine the reaction enthalpies for the proton transfer reactions of glycine. 2. To use a high-precision
More informationLEP Coupled pendula
1.3.5 Related topics Spiral spring, gravity pendulum, spring constant, torsional vibration, torque, beat, angular velocity, angular acceleration, characteristic frequency. Principle and task Two equal
More informationThis experiment is included in the XRP 4.0 X-ray solid state, XRS 4.0 X-ray structural analysis, and XRC 4.0 X-ray characteristics upgrade sets.
The intensity of characteristic X-rays as a TEP Related topics Characteristic X-radiation, energy levels, Bragg s law, and intensity of characteristic X-rays Principle The X-ray spectrum of an X-ray tube
More informationAll gases display distinctive properties compared with liquid or solid. Among them, five properties are the most important and listed below:
CHEM 1111 117 Experiment 8 Ideal gas Objective: 1. Advance core knowledge of ideal gas law; 2. Construct the generator to produce gases; 3. Collect the gas under ambient temperature. Introduction: An ideal
More information19-9 Adiabatic Expansion of an Ideal Gas
19-9 Adiabatic Expansion of an Ideal Gas Learning Objectives 19.44 On a p-v diagram, sketch an adiabatic expansion (or contraction) and identify that there is no heat exchange Q with the environment. 19.45
More informationRenewable Energy. Theory: The Ideal Gas Law The equation of state for an ideal gas is written: PV = nrt
Lab 3 Gas Laws and Heat Engines Fall 2010 Introduction/Purpose: In this exercise you will test some of the aspects of the ideal gas law under conditions of constant pressure, constant temperature, and
More informationMechanics. Moment of inertia / Steiner s theorem Dynamics. What you need:
Dynamics Mechanics Moment of inertia / teiner s theorem What you can learn about Rigid body Moment of inertia Centre of gravity Axis of rota tion Torsional vibration pring constant Angular restoring force
More informationPhysical Structure of Matter. K a doublet splitting of molybdenum X-rays / fine structure Physics of the Electron.
Physics of the Electron Physical Structure of Matter K a doublet splitting of molybdenum X-rays / fine structure What you can learn about Characteristic X-ray radiation Energy levels Selection rules The
More informationName Partner. Thermal Physics. Part I: Heat of Vaporization of Nitrogen. Introduction:
Name Partner Thermal Physics Part I: Heat of Vaporization of Nitrogen Introduction: The heat of vaporization of a liquid, L v, is the energy required to vaporize (boil) a unit mass of substance. Thus if
More informationThe First Law of Thermodynamics
Chapter 9 The First Law of Thermodynamics Topics for Chapter 9 I. First Law of Thermodynamics Internal energy, concept of state variables Difference between Work and Heat II. Examine various types of thermodynamic
More informationIT IS THEREFORE A SCIENTIFIC LAW.
Now we talk about heat: Zeroth Law of Thermodynamics: (inserted after the 3 Laws, and often not mentioned) If two objects are in thermal equilibrium with a third object, they are in thermal equilibrium
More informationVapour pressure of water at high temperature
Vapour pressure of water at high temperature (Item No.: P2340100) Curricular Relevance Area of Expertise: Physics Education Level: University Topic: Thermodynamics Subtopic: Thermal Properties and Processes
More information7.3 Heat capacities: extensive state variables (Hiroshi Matsuoka)
7.3 Heat capacities: extensive state variables (Hiroshi Matsuoka) 1 Specific heats and molar heat capacities Heat capacity for 1 g of substance is called specific heat and is useful for practical applications.
More information