LEVEL I. 5. At 90 C, pure water has [H3O + ] = 10 6 mol dm 3. The value of pkw at 90 C (a) 6 (b) 12 (c) 6 (d) 12

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1 QUESTION BAN-CH-1 Chemical Equilibrium LEVEL I 1. Ammonium chloride dissolves in water with the absortion of heat. Which of the following is true? (a) The solubility of ammonium chloride decreases with increase in temerature. (b) The solubility of ammonium chloride increases with increase in temerature. (c) At higher temerature, ammonium chloride in solution exists as ammonia and hydrochloric acid. (d) At lower temerature ammonium chloride in solution is resent in the molecular form.. For the reaction CH 6(g) CH 4(g) H(g) the = 0.05 atm. The value of G 0 of the reaction at 67 C would be (a) kj mol 1 (b).40 kj mol 1 (c).57 kj mol 1 (d) 7.98 kj mol 1. The concentration of a ure condensed (solid or liquid) hase is not included in the exression of equilibrium constant because (a) solid and liquid concentrations are indeendent of their quantities. (b) solids and liquids react slowly (c) solids and liquids at equilibrium have no interactions with the gaseous hase (d) the molecules in solids and liquids cannot migrate to the gaseous hase. 4. For the reaction N(g) H(g) NH(g) 9.6kJ the concentration of H at equilibrium will increase if (a) the temerature is lowered (b) the volume is decreased (c) N is added at constant volume (d) NH is removed. 5. At 90 C, ure water has [HO + ] = 10 6 mol dm. The value of w at 90 C (a) 6 (b) 1 (c) 6 (d) 1 6. The H of a solution obtained by mixing 0 ml of 0.0 M sodium acetate and 10 ml of 0.01 M acetic acid (a = M) is (a) 4.75 (b) 5.05 (c) 4.45 (d) Given: s (AgI) = M. The solubility of AgI in 0.1M I solution is (a) M (b) M (c) M (d) M

2 QUESTION BAN-CH- 8. Van t Hoff equation giving the effect of temerature on chemical equilibrium is reresented as dlnf H dln HT (a) (b) dt RT dt R dln H dln RT (c) (d) dt RT dt H 9. For the reaction A + B C + D; H for forward reaction is +0 kcal and has activation energy 40 kcal, the activation energy and H for backward reaction are resectively. (a) 0, 40 (b) 40, 0 (c) 0, 0 (d) 0, Which of the following is correct about reversible reaction? (a) Ea() Ea(b) = H() (b) Ea(b) Ea() = H() (c) Ea(b) + Ea() = H() (d) Ea(b) + Ea() = H(b) 11. For the reaction N + H NH at 500 C the value of is What will be the value of at low ressure where the gases are behaving almost ideally (a) (b) ( ) (c) ( ) (d) ( ) 1. When chemical equilibrium is attained (a) G = 0 and reaction quotient (Q) attains the maximum value called equilibrium constant () of the reaction. (b) G 0 = 0 and Q = (c) G = 0 and Q assumes minimum value (d) G = RTln 1. Which of the following grahs reresents an exothermic reaction? (a) ln (b) ln 1/T 1/T (c) ln (d) ln 1/T 1/T

3 QUESTION BAN-CH- 14. In a flask colourless NO4 is in equilibrium with brown coloured NO. At equilibrium when the flask is heated at 100 C, the brown colour deeens and on cooling it becomes less coloured, the change in enthaly, H for this system is (a) Negative (b) Positive (c) Zero (d) Undefined 15. The following two reactions i) PCl5(g) PCl(g) + Cl(g) and ii) COCl(g) CO(g) + Cl(g) are Simultaneously in equilibrium in an equilibrium box at constant volume. A few moles of CO(g) are later introduced into the vessel. After some time, the new equilibrium concentration of (a) PCl5 will remain unchanged (b) Cl will be greater (c) PCl5 will becomes less (d) Pcl5 will become greater 16. Consider the reactions i) CO(g) + HO(g) CO(g) + H(g); 1 ii) CH4(g) + HO(g) CO(g) + H(g); iii) CH4(g) + HO(g) CO(g) + 4H(g): 1 1 (a) (b) (c) = 1 (d) Which of the following statement is correct? (a) In the limit T 0, G 0 aroaches H 0. (b) S of a closed system is always maximum at equilibrium (c) In any closed system, G is always minimum at equilibrium (d) Addition of a reactant gas to an ideal gas reaction mixture shifts the equilibrium such that some of the added gas is used u 18. The condition for sontaneity in a chemical reaction is (a) (G)T, 0 (b) (U)S, V 0 (c) (H)S, P 0 (d) (S)U, V Of the following which is the characteristics that is alicable to systems at equilibrium? (a) equilibrium stands for a stable and static condition. (b) no measurable roerty of the system remains constant at equilibrium (c) the equilibrium exression involving concentration of reacting substances has nothing to do with temerature. (d) the magnitude of the value of the concentration related exression is an indication of the extent to which the reaction roceeds before reaching equilibrium. 0. For the reaction N(g) + H(g) NH(g), the units of c is (a) mol 1 L (b) (mol L 1 ) (c) mol L 1 (d) has no units

4 QUESTION BAN-CH-4 1. A small value of, the equilibrium constant, indicates that (a) the concentration of the un-ionized molecules must be relatively small comared to the ion concentrations. (b) the concentration of the ionized molecules must be larger than the ion concentration (c) the substance ionizes to a large degree (d) the concentration of the un-ionized molecules must be relatively large comared to the ion concentration.. When ressure is alied to the equilibrium system ice water which of the following henomenon will haen? (a) more ice will be formed (b) more water will be formed (c) water will evaorate (d) equilibrium will not be established. Which of the following is correct from the oint of view of Le-Chatelier s rincile? (a) if a system is at equilibrium and the artial ressure of one of the reactant in the gas hase is increased then the system will readjust to decrease the artial ressure of that reactant. (b) for a system involving gases, when the total ressure is increased in a homogeneous case the system will react in such a way as to decrease the total number of molecules. (c) if a system at equilibrium is subjected to a charge which dislaces it from the equilibrium, a net reaction will occur in a direction that counteracts the change. (d) all statements a, b and c are correct 4. The balanced chemical equation CO(g) + O(g) CO(g) signifies which one of the following? (a) one can add to a vessel only mol of CO for each mol of O added. (b) no matter how much of these two reagents are added to a vessel, only 1 mol of O will react, and it will react with mol of CO. (c) when they react, then CO reacts with O in a :1 mole ratio. (d) when mol of CO and 1 mol of O are laced in a vessel, they will react to give mol of CO. 5. Which of the following statements about the reaction quotient, Q is FALSE? (a) the reaction quotient, Q and the equilibrium constant, eq always have the same numerical value. (b) the reaction quotient may some times be zero (c) the reaction quotient may be larger then the equilibrium constant (d) the reaction quotient may be smaller than the equilibrium constant. 6. The decomosition of hosgene, COCl(g) CO(g) + Cl(g) is an endothermic rocess. Which of the following factors will cause the value of the equilibrium constant to increase? (a) adding Cl (b) adding He (g) (c) decreasing the total ressure (d) none of the above 7. Which diagrams could reresent the variation in the concentration of X and Y with time in the reversible reaction X Y which come to equilibrium after a time r?

5 QUESTION BAN-CH-5 (a) Concentration X Y Time (b) Concentration X Y Time X X (c) Concentration Y (d) Concentration Y Time Time 8. Which of the following condition will give the maximum yield of SO in the reaction SO(g) + O(g) SO(g) + heat (a) temerature is increased keeing the ressure constant (b) temerature is reduced and ressure is increased (c) both temerature and ressure are lowered. (d) both temerature and ressure are increased 9. Rate of disaearance of the reactant A at two different temeratures is given by A B d[a] s [A] 4 10 s [B] at 00 dt d[a] s [A] s [B] at 400 dt heat of reaction in the given temerature range, when equilibrium is set u is (a) log50 cal (b) log 50 cal (c) log5 cal (d) None Favourable conditions for the formation of NH(g) in good yield are using N(g) + H(g) kcal NH(g) (a) high T, P and vaorization of NH(l) (b) high T, low P and vaorization of NH(l) (c) low T, high P and liquefication of NH(g) (d) low T, high P, liquefication of NH(g) and resence of a catalyst. LEVEL II 1. The equilibrium constant (c) for the reaction SO(g) NO(g) SO(g) NO(g)

6 QUESTION BAN-CH-6 is 16. If 1 mol of each of all the four gases is taken in 1 dm vessel, the equilibrium concentration of NO would be (a) 0.4M (b) 1.6M (c) 1.4M (d) 0.6M For the reaction A(g) B(g) C(g) one mole of A and 1.5 mol of B are taken in a.0 litre vessel. At equilibrium, the concentration of C was found to be 0.5 mol L 1. The equilibrium constant c of the reaction would be (a) 0.95 M 1 (b) 0.67 M 1 (c).6 M 1 (d) M 1. For the decomosition reaction NHCOONH4(s) NH(g) CO(g) the = atm. The total ressure of gases at equilibrium when 1.0 mol of NHCOONH4(s) was taken to start with would be (a) atm (b) atm (c) atm (d) atm 4. If 0. mol of H(g) and.0 mol of S(s) are mixed in a 1.0 litre vessel at 90 C, the artial ressure of HS(g) formed according to the reaction H(g) S(s) H S(g) would be (a) 0.8 atm (b) 0.19 atm (c) 0.6 atm (d) atm / (0. ) 5. For a fairly concentrated solution of a weak electrolyte AxBy, the degree of dissociation is given as 1/(xy) xy1 x y (a) eq /c(x y) (b) eq /c x y (c) eqc/xy (d) eqxy/c 6. If s0, s1, s and s are the solubilities of AgCl in water, 0.01 M CaCl, 0.01M NaCl and 0.05M AgNO solutions, resectively, then (a) s0 s1 s s (b) s0 s s1 s (c) s0 s s s1 (d) s0 s1 = s s 7. At a certain temerature the following equilibrium is established CO(g) NO(g) CO(g) NO(g) one mole of each of the four gases is mixed in one litre container and the reaction is allowed to react equilibrium state. When excess of baryta water is added to the equilibrium mixture, the weight of white reciitate obtained is 6.4g. The equilibrium constant c of the reaction is (a) 1. (b).5 (c).1 (d).6

7 QUESTION BAN-CH-7 8. In dilute solution there are two equilibria (s) 1 Cl Cl Ag Cl AgCl (s) The equilibrium constant for the reaction Ag + + Cl solution is (a) 10 x+y (b) 10 x y (c) 10 y (d) (10 x ) y x y + + AgCl(s) in dilute 9. High ressure and low temerature are the favourable conditions for the formation of roduct for the reaction xa yb zc, H x kcal Hence: (a) x y + z (b) x y + z (c) x = y + z (d) None of these 10. X ny X decomoses to give Y (in one litre vessel): If degree of dissociation is then c and it s unit is n n n1 n1 (n ) n n (a) mol lit (b) mol lit 1 1 n n (n ) (c), c is unit less (d), c is unit less For the reaction (1) and () A B + C (i) D E (ii) Given P1 : P :: 9 : 1 If the degree of dissociation of A and D be same then the total ressure at equilibria (1) and () are in the ratio (a) : 1 (b) 6 : 1 (c) 1 : 1 (d) 0.5 : 1 1. Which of the following is wrong? Reaction Degree of dissociation (a) PCl5 PCl + Cl D d d (b) NO4 NO Mt M0 d (c) N + I HI (d) A + B C + D 1. The reaction A + B C + D is studied in a one litre vessel at 50 C. The initial concentration of A was n and the initial concentration of B was n. After equilibrium was

8 QUESTION BAN-CH-8 attained then equilibrium concentration of C was found to be equal to equilibrium concentration of B. What is the concentration of D at equilibrium (a) n/ (b) (n n/) (c) (n n/) (d) n 14. If in the reaction PCl5(g) PCl(g) + Cl(g), is the degree of dissociation of PCl5, then the number of molecules at equilibrium will be (a) (b) 1 + (c) 1 (d) The decomosition of NO4 to NO is carried out at 55 is carbon tetrachloricde. When equilibrium is reached, 0. mole of NO4 and.0 10 mole of NO are resent in a.0 L container. The equilibrium constant for the reaction NO4(g) NO(g) at 55 is (a) (b).0 10 (c) (d) At 90 C, the following equilibrium is established H(g) + S(s) HS(g) = If 0.0 mole of hydrogen and 1.0 mole of sulhur are heated to 90 C in a 1.0 L vessel. What will the concentration of HS at equilibrium (a).8 10 mol L 1 (b) mol L 1 (c).6 10 mol L 1 (d) mol For the reaction H(g) + I(g) HI(g) the equilibrium ressures are H, I and HI. The volume of the reaction vessel is reduced so as to reestablish equilibrium, the artial ressure of H and I were doubled. The artial ressure of HI would be HI (a) HI (b) (c) HI (d) 4HI 18. For the reaction A B + C, the following data were obtained at 00 C Exeriment [A], mol L 1 Rate mol L 1 h The equilibrium constant for the reaction is 0.50 mol L 1. Assuming that the reaction roceeds by a one ste mechanism, calculate the rate constant for the reverse reaction: (a) 0.94 L mol 1 hr 1 (b) L mol 1 hr 1 (c) 0.50 L mol 1 hr 1 (d) 0.15 L mol 1 hr Sulhide ion reacts with solid sulhur forming S and S with formation constant 1 and 1. Formation constant S from sulhur and S is (a) 1 (b) 1 (c) 1 1 (d) 11

9 QUESTION BAN-CH-9 0. Solubility of a solute in a solvent (say HO) is deendent on temerature as given by S = Ae H/RT where H is heat of reaction: Solute + HO solution, H = ±x For a given solution variation of log S with temerature is shown grahically. Hence solute is 1/T (a) CuSO45HO (c) Sucrose LEVEL III (b) NaCl (d) CaO 1. The equilibrium constant (c) of the reaction A(g) B(g) AB(g) is 50. If 1 mol of A and mol of B are mixed, the amount of AB at equilibrium would be (a) 0.94 mol (b) mol (c) mol (d) mol. For the reaction NO 4(g) NO (g) the relation connecting the degree of dissociation () of NO4(g) with the equilibrium constant is /P (a) (b) 4 /P 4 (c) /P 4 /P 1/ (d) 4. Which of the following exressions is not true? (a) For a neutral solution [H ] [OH ] w - (b) For an acidic solution [H ] w and [OH ] w - (c) For an alkaline solution [H ] w and [OH ] w 7 (d) For a neutral solution [H ] [OH ] 10 M at all temeratures log S 1/ 4. Given: s (AgCl) = M, s (AgCrO4) = M Which ion is reciitated first when solid AgNO is added to a solution containing 0.1M each of NaCl and NaCrO4? (a) chloride ion (b) chromate ion (c) Both Cl and CrO 4 reciitate together (d) cannot be redicted

10 QUESTION BAN-CH The molarity of Mg + ions in a saturated solution of Mg(PO4) whose solubility roduct is M 5 is (a) M (b).0 10 M (c).0 10 M (d) M 6. The maximum H of a solution which is 0.10 M is Mg + from which Mg(OH) is not reciitated is (a) 4.96 (b) 6.96 (c) 7.04 (d) The exression to comute H of NH4Cl solution is (a) H w b(nh4oh) log[salt] (b) H w b(nh4oh) log[salt] (c) H w b(nh4oh) log[salt] (d) H b(nh4oh) w log[salt] 8. X + X X (X = Iodine) This reaction is set u in aqueous medium. We start with 1 mol of X and 0.5 mol of X in 1L flask. After equilibrium is reached, excess of AgNO gave 0.5 mol of yellow t. Equilibrium constant is (a) 1. (b).66 (c).00 (d) A vessel contains Hg) at atm ressure. When HS(g) + at a ressure of 4 atm is introduced into the vessel. Where in reaction 8HS(g) 8H(g) + S8(s) occurs at a temerature of 000. It is found that n[h ] n(hs) n(hs) n(h at equilibrium ) at t = 0 (a) Maximum weight of solid formed is gm (b) Maximum weight of solid formed is 0.gm (c) = crt (d) c = c for the reaction [Ag(CN)] Ag + + CN, the equilibrium constant at 5 C is , then the silver ion concentration in a solution which was originally 0.1 molar in CN and 0.0 molar in AgNO is (a) (b) (c) (d)

11 QUESTION BAN-CH Given: A B + C, H = 10 kcals, the energy of activation of backward reaction is 15 kcals mol 1. If the energy of activation of forward reaction in the resence of a catalyst is kcal mole 1 the catalyst will increase the rate of reaction at 00 by the number of times equal to (a) e.. (b) e 4.1 (c) e.7 (d) e.0 1. In a litre flask, the reaction takes lace as COCl(g) CO(g) + Cl(g) The equilibrium conc. of [COCl] was found to be 0.4. If the excess of COCl is added to the system, the equilibrium re-establishes and [COCl] becomes 1./6. What is the equilibrium conc. of [CO] (a) Half of the former value (b) Thrice of the former value (c) Remains unaltered (d) Twice of the former value 1. The comlexation of Fe + with the chelating agent diyridyl (abbreviated diy) has been studied kinetically in both the forward and reverse direction. For the comlexation reaction. Fe + + diy Fe(diy) + the rate of the formation of the comlex at 5 Cis given by Rate = ( L mol s 1 ) [Fe + ] [diy] and for the reverse reaction the rate of disaearance of the comlex is Rate = ( s 1 [Fe(diy) + ] What is stability constant of the comlex? (a) (b) (c) (d) The equilibrium constants for the reaction HBO + glycerine (HBOglycerine) is Glycerine resent er litre of 0.1M HBO to convert 60% of HBO into HBO Glycerine roduct is: (a) 0.167M (b) 1.7M (c) M (d) M 15. For the reaction A + B C + D, equilibrium concentration of [C] = [D] = 0.5M if we start with 1 mole each of A and B. Percentage of A converted into C if we start with mole of A and 1 mole of B is: (a) 5% (b) 40% (c) 66.66% (d).% 16. I + I I This reaction is set u in aqueous medium. We start with 1 mol of I and 0.5 mol of I in 1 L flask. After equilibrium is reached, excess of AgNO gave 0.5 mol of yellow t. Equilibrium constant is: (a) 1. (b).66 (c).00 (d).00

12 QUESTION BAN-CH One mole each of A and B and mole each of C and D are laced in 1 L flask, if equilibrium constant is.5 for A + B C + D, equilibrium conc. of A and C will be in the ratio (a) : (b) : (c) 1 : (d) : The aroach to the following equilibrium was observed kinetically from both directions: PtCl4 HO Pt(HO)Cl Cl At 5 C, it was found that d[ptcl 4 ] 5 1 ( s )[PtCl 4 ] dt (.1 10 L mol 1 s 1 ) (Pt(HO) Cl ][Cl ] What is the value of equilibrium constant when fourth Cl is comlexed? (a) mol L 1 (b) L mol 1 (c) (d) For the reaction HI(g) H(g) + I(g) The degree of dissociation () of HI(g) is related to equilibrium constant, by the exression 1 1 (a) (b) (c) 1 (d) 1 0. At temerature T, a comound AB(g) dissociates according to the reaction AB(g) AB(g) + B(g) with degree of dissociation, which is small comared with unity. The exression for, in terms of and the total ressure, PT is P (a) T P (b) T P (c) T P (d) T.

13 QUESTION BAN-CH-1 Answers Chemical Equilibrium 1. (b). (b). (a) 4. (b) 5. (b) 6. (d) 7. (b) 8. (c) 9. (c) 10. (a) 1. (b). (c). (c) 4. (a) 5. (b) 6. (b) 7. (b) LEVEL I 11. (a) 1. (a) 1. (d) 14. (b) 15. (c) 16. (c) 17. (a) 18. (a), (b), (c), (d) 19. (d) 0. (b) LEVEL II 8. (c) 9. (a) 10. (d) 11. (b) 1. (d) 1. (a) 14. (b) 1. (d). (b). (d) 4. (d) 5. (a) 6. (d) 7. (b) 8. (b) 9. (c) 0. (c) 15. (c) 16. (b) 17. (c) 18. (b) 19. (d) 0. (d) 1. (c). (c). (d) 4. (a) 5. (c) 6. (d) 7. (a) LEVEL III 8. (a) 9. (d) 10. (b) 11. (a) 1. (d) 1. (a) 14. (b) 15. (d) 16. (a) 17. (a) 18. (b) 19. (a) 0. (d)

14 QUESTION BAN-CH-14 Hints & Solutions Chemical Equilibrium LEVEL I 0. G = RT ln = (8.14 J 1 mol 1 ) (900 ) (.0) log (0.05) = 400 J mol 1 5. For ure water, [HO + ] = [OH ] w = [HO + ] [OH ] = 10 1 (mol dm ) w = log w = 1 [salt] 6. H = a + log [acid] 5 (0.0 /)M = log(1.810 ) log (0.01 1/)M = = [Ag + 17 s M ] = = M [I ] 0.1M 8. The variation of equilibrium constant with temerature is given by Van t Hoff isochore as d H ln dt R 9. T is indeendent of ressure 14. On heating NO4 NO if NO is formed more, it means H = +ve because endothermic reactions are favoured with increase in temerature. 19. An equilibrium constant is the ratio of multilication of the concentration of roducts and reactants raised to the ower of coefficient of each secies. 0. N(g) + H(g) NH(g) [NH ] c [N ][H ] -1 (mol L ) (moll ) = (moll ) (mol L )(moll ) (moll ) N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

15 QUESTION BAN-CH Small values of (smaller than 10 ) favours the reactants strongly. Therefore, the concentration of the un-ionised molecules will be relatively large comared to the ion concentration.. When ressure is alied to the equilibrium ice water then volume decrease and the density increases. Water is denser than ice, therefore the forward reaction would be favoured. More water will be formed.. Equilibria are unafferted by the resence of a catalyst. They resond to concentration, ressure and temjerature changes in accordance with Le-Chatelier s rincile. All the three statements (a), (b) and (c) are correct statement of Le-Chatelier s rincile. 4. The stoichiometry states that moles of CO on reaction with 1 mole of O will roduce moles of CO. 5. The Q may be zero when there is no roduce formed in the reaction. When Q, then the reaction tends to roceed left, towards reactants and when Q, the reaction tends to roceed right, toward roduct. And Q = only at equilibrium. 6. According to Le-Chatelier s rincile, when a stress is alied to a system in dynamic equilibrium, the equilibrium adjust to minimize the effect of the stress. The value of the equilibrium constant does not change by any one of the factors given. 7. The concentrations of reactants and roducts would be exected to aroach constant values which would be reached after time t. This is only the case in (b). 8. The reaction is exothermic, therefore SO formation will be favoured at low temerature. Also the increase in ressure will shift the equilibrium towards roduct side. 9. At 00, kf 10 C kb At 400, C RT1T 400 H = log (T T ) 1 00 LEVEL II 1. SO(g) NO(g) SO(g) NO(g) 1 mol - x 1molx 1molx 1molx (1mol x) c (1mol x) 1mol x i.e. 16 1mol x or (1mol + x) = 4 (1 mol x) or x = 0.6 mol N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

16 QUESTION BAN-CH-16 Amount of NO = 1 mol + x = 1.6 mol Concentration of NO = 1.6 M A B C. (g) (g) (g) 1molx 1.5molx x x 1 Hence 0.5molL x 0.5mol L [C] (0.70mol/ L) [A][B] (0.65mol/ L)(0.8mol/ L) =.6 mol 1 L c. NHCOONH4(s) NH(g) CO(g) 1.0molx NH CO atm = () atm 4 1/ = atm total = + = atm = atm 4. H(g) S(s) H S(g) 0.molx x nhs Since v(g) 0, n nh x 0.mol x Solving for x, we get x = 0.07 mol atm0.8atm 1 5. x y c(1 ) y AB xa yb x c(x ) c(y ) x (cx ) (cy ) eq c x y c(1 ) or c eq xy1 x y x y y 1/(xy) xy1 x y xy 6. s0 s ; s1 = s/0.0m; s = s/0.01m; s = s/0.05m Obviously s0 s s1 s 7. CO(g) NO(g) CO(g) NO(g) t = N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

17 QUESTION BAN-CH-17 at equilibrium 1 x 1 x 1 + x 1 + x CO + Ba(OH) BaCO + HO Moles of BaCO = Mole of CO at equilibrium = 1. or 1 + x = 1. x = 0. 1 x 1. c 1 x 0.8 =.5 8. The value of x is very much larger and Cl is 100% ionized [NaCl] = [Cl ] 10. As c is the exression in terms of activity (which itself is unit less) it is unitless quantity 1 0 X ny 1 n n (n ) c For these reaction xp1 P 1 (1 x) 4x P and (1 x) P P 1 1 P 4P 6 P1 or 1 P P 14. PCl5(g) PCl(g) + Cl(g) Total mole Initial moles Moles at equilibrium = NO 4(g) NO (g) Moles at equilibrium Conc. at equilibrium 0. [NO ] (0.001) [NO 4] (0.1) H(g) + S(s) HS(g) Conc. at equilibrium (0. x) x N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

18 QUESTION BAN-CH-18 [HS] x [H ] (0. x) (0.) (0.) x = x x H(g) + I(g) HI(g) HI H I Let the new artial ressure of HI =, then charge in volume will not change the k. Therefore, HI P HI H I HI I HI 4HI HI HI 18. Since rate is doubled on doubling conc. of A hence first order hence dx k[a] f dt 0.05 = kf (0.17) kf kf also c, kb kb c 0.05 = = S S S S S S = 1 S S S =? 1 0. Solubility decreases with decrease in T hence H = ve LEVEL III 1. A(g) B(g) AB(g) 1molx molx x Since vg= 0, we will have c = = n (x) n (1mol x)(1mol x) N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

19 QUESTION BAN-CH-19 x that is (1mol x)(1mol x) 50 solving for x, we get x = 0.9 mol Amount of AB = x = mol. NO 4(g) NO(g) 1 ; ntotal = NO 4 1 NO 1 NO NO Rearranging, we get / 4 / 1/. The state (d) is alicable only at 5 C and is not indeendent of temerature. 4. [Ag + ] needed to start reciitation of Cl = M 0.1 [Ag ] needed to start reciitation of CrO4 M 0.1 Obviously, the former is smaller and thus will be reached first causing Cl to reciitate Mg (PO 4) Mg PO4 s [Mg ] [PO 4 ] If x is the solubility of Mg(PO4), then (x) (x) = M 5 1/ x M = M 108 [Mg + ] = x = M 6. For Mg(OH) not to be reciitated 1/ s (Mg(OH) [OH ] [Mg ] 1/ M 5 [OH ] M 0.10M OH 4.6 H = 9.04 N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

20 QUESTION BAN-CH-0 7. NH4 HO NH4OH H w [NH4OH][H ] [H ] h b [NH ] [NH 4] 0 w or [H ] [NH 4] 0 b log [H + ] = log w log b + log [NH 4 ] or log [H ] = log w log b log[nh 4] H w b log[salt] 8. X + X X (1 x) (0.5 x) x (0.5 x) = unreacted X x = Ag x = 0.5 [X ] 0.5 c 1. [X ][X ] Under identical condition of volume and temerature P n nh 1 So initially, nhs 8HS 8H + S8(s) Initially 1 at equilibrium x 1 + x but at equilibrium, nh 1 x,, x = 1 nhs 8 x P H () (P HS) (1)8 Since n(g) = 8 8 = 0 = c = CN + AgNO Ag(CN) + NO ( ) [Ag(CN) ] = 0.0 Now [Ag(CN) ] = 0.0 Ag(CN) Ag + + CN N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

21 QUESTION BAN-CH-1 (left from CN) (0.0 9) a ( a) c is small 0.0 a = 0.0 and a = (0.04) 9 c a = H = Ea for FR Ea of Br 10 = Ea of FR 15 Ea of FR = 5 kcals mol 1 the catalyst decreases the Ea by kcals mol 1 c E / RT e e e 1. COCl(g) CO(g) + Cl(g) [CO][Cl ] c [COCl ] Let [CO] = x, then [Cl] = x x c [COCl ] x x or c 0.4 x [CO][Cl ] Again c 0.4 [CoCl ] x [CO] {[CO] = [Cl]} x 4 = [CO] x = [CO] x = [CO] 1. At equilibrium rate of formation = rate of disaearance [Fe + ] [diy] = [Fe(diy)] + ] 1 [Fe(diy) ] Stability constant = 4 [Fe ](diy)] HBO + glycerine (HBOglycerine) (A) (B) (C) 0.1 x (0) ( ) (x 0.06) 0.06 N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

22 QUESTION BAN-CH- [C] 0.90 [A][B] 0.06 = 0.04(x 0.06) x = 1.7M 15. A + B C + D c = 1 in case ( x) (1 x) x x (A) (B) (C) x c 1 x ( x)(1 x) Hence % of A converted into roduct =.% 16. I + I I (1 x) (0.5 x) x (0.5 x) = unreacted I I Ag + = 0.5 x = 0.5 [I ] 0.5 c = [I ][I ] A + B C + D 1 1 This equilibrium shifts in backward side [C][D] [C] c.5 = [A][B] [A] [C] [A] 1.5, = : [A] [C] 18. For reversible reaction kf A B dx kb k[a] f dt and k k[b] b f c but question requires kc of reversible reaction hence on comarision kb c 5 = N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

23 QUESTION BAN-CH- 19. HI(g) H(g) + I(g) 1 PT (1 ) PT For the given equilibrium, the equilibrium concentration are AB(g) AB(g) + B(g) Equilib. conc. c(1 ) c c c (P T B )(P AB) (c ) P PT P ; P (P AB ) [c(1 )] [c(1 )] (1 ) 1 Since, is small comared to unity, so 1 1 and PT P N A R A Y A N A I I T A C A D E M Y South Delhi Centre: 47B, alu Sarai, New Delhi Ph.: /01/0 West Delhi Centre: /40, Adjacent Central Market, West Punjabi Bagh, New Delhi Ph.: , East Delhi Centre: E, Patarganj Village, Mayur Vihar, Phase I, Delhi Ph:

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