Rewrite wavelength = m using a standard factor. Rewrite an energy of J in scientific notation.
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1 Question 1 Which one of the following is an algebraic phrase? enthalpy entropy = 5 J K-1 mol cm Question 2 Rewrite wavelength = m using a standard factor. 237 Gm 237 μm 2.37 cm 237 nm Question 3 Rewrite an energy of J in scientific notation x 10-11J x 10-10J x 10-12J x 10-10J Question 4 Rewrite a volume of m3 in scientific notation x 108 m x 107 m3
2 x 10-7 m x 106 m3 Question 5 Write the length m to 3 significant figures m m m m Question 6 You are calculating the energy (E) of a photon, using the equation E = hv, where h = x Js and v = 7.4 x 1014 s-1. To how many significant figures should you cite your answer? Question 7 Calculate the pressure (in P exerted on an area of 0.5 m2 by a force of 746 N, using the equation: pressure = Force Area. (Cite your answer to the correct number of significant figures.) 1500 Pa 2000 Pa 1490 Pa 1000 Pa
3 Question 8 The distance between two points is given as m. To how many decimal places is this value expressed? Question 9 Calculate the volume of liquid in a beaker given that volume = cm cm cm3. (Cite your answer to the correct number of decimal places.) 89.4 cm cm cm cm3 Question 10 Calculate the energy of a reaction using the following equation: energy = 23.0 kj J J. (Cite your answer to the correct number of decimal places.) J 34 J J J Ans. 1 to 10
4 1. b 2. d 3. a 4. b 5. c 6. a 7. d 8. b 9. a 10. c Question 11 If the final value of H is 18 kj mol-1 and the initial value of H is 24 kj mol-1, what is ΔH? Question 12 If the initial reading on a burette is 2.6 cm3 and the final reading is 36.3 cm3, what is Δ(volume)?
5 Question 13 Select the option that correctly shows what the following notation means: = (2 x ) + (2 x ) + (2 x ) + + (2 x n2 + 1) = (2 x ) + (2 x n2 + 1) = 2 x x x x n2 = 2 x n2 + 1 Question 14 What is the value of? Question 15 Select an expression starting with for the following sum:
6 Question 16 Calculate the mass per mole of furaneol (C 6 H 8 O 3 ) using Sigma notation Question 17 Use the Pi notation to write an expression for the following series of numbers: 1 x 23 x 33 x 43 x 53 Question 18 Write the factorial 9! in Pi notation.
7 9! = 9! = 9! = 9! = Question 19 Calculate the value of Question 20 Use the correct notation to represent the following algebraic phrase: Xfinal - Xinitial
8 Ans. 11 to a 12. b 13. a 14. d 15. c 16. a 17.c 18. d 19. b 20. c Question 21 List the order in which we should apply the operators shown to calculate X = at + b (a - t)3 Brackets (a - t) Subtraction a - t Multiply (b x (a - t) and a x t (b x (a - t)) all to the Power (Of) 3 Add at + (b (a - t))3 Add t + b Brackets (a - t) Subtraction a - t Power (Of) 3 Multiply (t + x (a - t)3 Multiply everything by a Multiply a x t Add at + b Brackets (a - t) Subtraction a - t Power (Of) 3 Multiply (at + x (a - t)3 Brackets (a - t) Subtraction a - t Power (Of) 3 Multiply b x (a - t)3 and a xt Add at + b (a - t)3 Question 22 List the order in which we should apply the operators shown to calculate
9 Brackets Division of (1 T2) and (1 T1) Subtraction: (1 T2) - (1 T1) Multiply by '-ΔH' Divide by R Brackets Subtraction: (T2 - T1) Division (1 (T2 - T1) Multiply by '-ΔH' Divide by R Subtraction: (T2 - T1) Multiply R by (T2 - T1) Multiply -ΔH by 1 Divide '-ΔH' by (R x (T2 - T1)). Brackets Division (1 T2) and (1 T1) Subtraction (1 T2) - (1 T1) Divide ΔH by R Subtract (ΔH R) from ((1 T2) - (1 T1)). Question 23 Calculate (without using a calculator) the value of y in the following equation: y = 10-3 x Question 24 Calculate (without using a calculator) the value of y in the following equation: y = x Question 25
10 Calculate (without using a calculator) the value of y in the following equation: y = x 3 x 2 - (5 + 13) Question 26 Calculate (without using a calculator) the value of y in the following equation:. 10 Question 27 Calculate (without using a calculator) the value of y in the following equation:
11 Question 28 Calculate (without using a calculator) the value of y in the following equation: Question 29 Calculate (without using a calculator) the value of y in the following equation: y = x Question 30 Calculate (without using a calculator) the value of y in the following equation: Ans. 21 to 30
12 21. d 22. a 23. b 24. d 25. d 26. b 27. c 28. a 29. d 30. c Question 31 Simplify the expression: C2H4 + NH + CO + CH3 + OH 3C + 4H + N + 2O 4C + 9H + N + 2O C + H + N + O 4C + 7H + N + O Question 32 Simplify the expression: 3k - 4m + 7n - 5k - 2n + 6k - 8m k - 12m + 10n 4k - 12m + 5n + 5 2kmn 3k - 4m + 7n + 5
13 Question 33 Rearrange the equation 3m + 5n + 3 = 10n + 2m, to obtain m on its own. m = 15n + 3 m = 7n - 3 m = n - 3 m = 5n - 3 Question 34 Rearrange the equation 10p - 4q + 8r - 5 = 4q + 9r - 5p to obtain r on its own. r = 15p - 5 r = 5p - 8q + 5 r = 15p - 8q - 5 r = 8q - 15p + 5 Question 35 Simplify the following expression as much as possible: Question 36
14 Simplify the following expression as much as possible:. Question 37 Rearrange the following equation to make y the subject: 3x - 5z = 6-8y. y = (3x - 5z) (6-8) y = (3x - 5z - 6) 8 y = (6-3x + 5z) x 8 y = (6-3x + 5z) 8 Question 38 Rearrange the equation to make ΔH the subject:
15 Question 39 Rearrange the equation: to make q the subject. Question 40 Rearrange the equation to make q the subject. Ans. 31 to b 32. b
16 33. d 34. c 35. a 36. a 37. d 38. c 39. a 40. b Question 41 Simplify the expression: C2H4 + NH + CO + CH3 + OH 3C + 4H + N + 2O 4C + 9H + N + 2O C + H + N + O 4C + 7H + N + O Question 42 Simplify the expression: 3k - 4m + 7n - 5k - 2n + 6k - 8m k - 12m + 10n 4k - 12m + 5n + 5 2kmn 3k - 4m + 7n + 5
17 Question 43 Rearrange the equation 3m + 5n + 3 = 10n + 2m, to obtain m on its own. m = 15n + 3 m = 7n - 3 m = n - 3 m = 5n - 3 Question 44 Rearrange the equation 10p - 4q + 8r - 5 = 4q + 9r - 5p to obtain r on its own. r = 15p - 5 r = 5p - 8q + 5 r = 15p - 8q - 5 r = 8q - 15p + 5 Question 45 Simplify the following expression as much as possible:.
18 Question 46 Simplify the following expression as much as possible:. Question 47 Rearrange the following equation to make y the subject: 3x - 5z = 6-8y. y = (3x - 5z) (6-8) y = (3x - 5z - 6) 8 y = (6-3x + 5z) x 8 y = (6-3x + 5z) 8 Question 48 Rearrange the equation to make ΔH the subject:
19 Question 49 Rearrange the equation: to make q the subject. Question 50 Rearrange the equation to make q the subject.
20 Ans. 41 to b 42. b 43. d 44. c 45. a 46. a 47. d 48. c 49. a 50. b Question 51 Simplify (without using a calculator) the following fraction by cancelling: 15
21 Question 52 Without using a calculator, convert the fraction to 3 decimal places Question 53 Without using a calculator, determine the value of the following expression: answer as a single fraction and simplify as much as possible.). (Give your Question 54 Without using a calculator, determine the value of the following expression: your answer as a single fraction and simplify as much as possible.). (Give
22 Question 55 Without using a calculator, determine the value of and simplify as much as possible.). (Give your answer as a single fraction Question 56 Without using a calculator, determine the value of fraction and simplify as much as possible.). (Give your answer as a single
23 Question 57 Without using a calculator, determine the value of and simplify as much as possible.). (Give your answer as a single fraction Question 58 Without using a calculator, determine the value of the following expression: your answer as a single fraction and simplify as much as possible.). (Give
24 Question 59 Determine the value of the following expression: fraction and simplify as much as possible.). (Give your answer as a single Question 60 The enthalpy of a reaction is measured as 300 kj mol-1 based on a series of experiments in an undergraduate chemistry lab. The literature value is 325 kj mol-1. What is the percentage error in the measured value? 0.08% 0.77% 92.31% 7.69% Ans. 51 to 60
25 51. d 52. b 53. a 54. b 55. d 56. b 57. c 58. b 59. a 60. d Question 61 Multiply out the following brackets and simplify: Question 62 Multiply out the following brackets and simplify:
26 Question 63 Multiply out the following brackets and simplify: Question 64 Factorise the following Question 65 Factorise the following
27 Question 66 Factorise Question 67 Factorise Question 68 Factorise the following quadratic equation
28 Question 69 Factorise the following quadratic equation Question 70 Using equation (7.5), find the values of x which satisfies the equation: -0.4 and and -1 1 and -1.2 Ans. 61 to a 62. b 63. a 64. d 65. c 66. a
29 67. c 68.d 69. b 70. c Question 71 Determine the value of x and y that satisfy the following equations: y = 5x + 6 y = 2x + 3 x =, y = x = 1, y = 11 x = 1, y = 5 x = -1, y = 1 Question 72 Determine the value of x and y that satisfy the following equations: y = -3x + 5 y = 2x - 10 x = -3, y = 14 x = 3, y = -4 x = -3, y = -16 x = -5, y = 20
30 Question 73 Determine the value of x and y that satisfy the following equations: 3y = 7x - 8 6y = 7x + 4 x =, y = 4 x =, y = x =, y = 3 x = 4, y =. Question 74 Determine the value of x and y that satisfy the following equations: 2y = -3x + 4 8y = 3x + 11,.,.,
31 ,. Question 75 Determine the value of x and y that satisfy the following equations: -5y = 4x y = x - 3, y = 2 x = 4, x = 8, y = 1 x = 3, y = 0 Ans. 71 to d 72. b 73. a 74. b 75. d
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