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Page 1 JEE Solved Example on Thermodynamic JEE Mains Q1: Calculate the enthalpy of formation of ???? - ions from the following thermochemical data: ?? ?? ?? (?? ) ? ?? (???? ) + + ???? - (???? ) ; ?? ?? ?????? ?? ° = +???? . ???? ???? ?? ?? ( ?? ) + ?? ?? ?? ?? (?? ) ? ?? ?? ?? (?? ) ; ?? ?? ?????? ?? ° = -?????? . ???? ???? (a) -?????? . ???? ???? (b) -?????? . ???? ???? (c) +?????? . ?? ???? (d) -?????? . ?? ???? Ans: (a) ?H ° = 57.32 = ? ?H f ° (products ) - ? ?H f ° (reactants ) 57.32 = ?H f ° (OH - ) + 285.83? H f ° (OH - ) = -?????? . ???? ???? Q2: Using bond energy data, calculate heat of formation of isoprene Given bond energy of C–H = 98.8 kcal, H–H = 104 kcal, C–C = 83 kcal, C=C = 147 kcal and ?H of C(s) ? C(g) = 171 kcal (a) ???? . ?????????? ?????? -?? (b) ???? . ?????????? ?????? -?? (c) ?????????????? ?????? -?? (d) ?????????????? ?????? -?? Ans: ?H = 5(171) + 4(104) - [(147 × 2) + (83 × 2) + (8 × 98.8)] = ???? . ?????????? Page 2 JEE Solved Example on Thermodynamic JEE Mains Q1: Calculate the enthalpy of formation of ???? - ions from the following thermochemical data: ?? ?? ?? (?? ) ? ?? (???? ) + + ???? - (???? ) ; ?? ?? ?????? ?? ° = +???? . ???? ???? ?? ?? ( ?? ) + ?? ?? ?? ?? (?? ) ? ?? ?? ?? (?? ) ; ?? ?? ?????? ?? ° = -?????? . ???? ???? (a) -?????? . ???? ???? (b) -?????? . ???? ???? (c) +?????? . ?? ???? (d) -?????? . ?? ???? Ans: (a) ?H ° = 57.32 = ? ?H f ° (products ) - ? ?H f ° (reactants ) 57.32 = ?H f ° (OH - ) + 285.83? H f ° (OH - ) = -?????? . ???? ???? Q2: Using bond energy data, calculate heat of formation of isoprene Given bond energy of C–H = 98.8 kcal, H–H = 104 kcal, C–C = 83 kcal, C=C = 147 kcal and ?H of C(s) ? C(g) = 171 kcal (a) ???? . ?????????? ?????? -?? (b) ???? . ?????????? ?????? -?? (c) ?????????????? ?????? -?? (d) ?????????????? ?????? -?? Ans: ?H = 5(171) + 4(104) - [(147 × 2) + (83 × 2) + (8 × 98.8)] = ???? . ?????????? Q3: One mole of magnesium in the vapour state absorbed 1300 ???? of energy. If the first and second ionization energies of ???? are 750 and ???????? ???? ?????? -?? respectively, the final composition of the mixture is (a) ???? %???? + and ???? %???? +?? (b) ???? %???? + and ???? %???? +?? (c) ???? %???? + and ???? %???? +?? (d) ???? %???? + and ???? %???? +?? Ans: (c) Mg ? Mg + + e - To ionise one mole of Mg completely 750 kJ is spent and energy left = 550 kJ. 1450 kJ ionises 1 mole of Mg +1 550 kJ ionises 0.38 mole of Mg +1 Mg + ? Mg +2 + e - 1 1 - 0.38 0.38 % of Mg + = ???? % and that of Mg +2 = ???? % Q4: ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? … . . . (i) ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? ?? ?? + ?? . . . (ii) ?? ?? ?? ? ?? ???? ?? ( ?? ); ?? ?? ?? = -?????? ?? … . . (iii) ?? ?? ° for the following reaction ???????? + ?? ?? ?? ? ???????? + ?? ???? ?? would be (a) +???????? ?? (b) -???????? ?? (c) +?????? ?? (d) -?????? ?? Ans: (d) ?G o = 2? G ZnO ° + 2? G SO 2 ° - 2? G ZnS ° = [-616- 408] - [-293] = - 731 J. Q5: The enthalpies of combustion of ?? (graphite) and ?? (diamond) are 393.5 and -?????? . ?? ???? /?????? respectively. The enthalpy of conversion of ?? (graphite) to ?? (diamond) in ???? /?????? is (a) -2.9 (b) -888.9 (c) 788.9 (d) 1.9 Ans: (d) Page 3 JEE Solved Example on Thermodynamic JEE Mains Q1: Calculate the enthalpy of formation of ???? - ions from the following thermochemical data: ?? ?? ?? (?? ) ? ?? (???? ) + + ???? - (???? ) ; ?? ?? ?????? ?? ° = +???? . ???? ???? ?? ?? ( ?? ) + ?? ?? ?? ?? (?? ) ? ?? ?? ?? (?? ) ; ?? ?? ?????? ?? ° = -?????? . ???? ???? (a) -?????? . ???? ???? (b) -?????? . ???? ???? (c) +?????? . ?? ???? (d) -?????? . ?? ???? Ans: (a) ?H ° = 57.32 = ? ?H f ° (products ) - ? ?H f ° (reactants ) 57.32 = ?H f ° (OH - ) + 285.83? H f ° (OH - ) = -?????? . ???? ???? Q2: Using bond energy data, calculate heat of formation of isoprene Given bond energy of C–H = 98.8 kcal, H–H = 104 kcal, C–C = 83 kcal, C=C = 147 kcal and ?H of C(s) ? C(g) = 171 kcal (a) ???? . ?????????? ?????? -?? (b) ???? . ?????????? ?????? -?? (c) ?????????????? ?????? -?? (d) ?????????????? ?????? -?? Ans: ?H = 5(171) + 4(104) - [(147 × 2) + (83 × 2) + (8 × 98.8)] = ???? . ?????????? Q3: One mole of magnesium in the vapour state absorbed 1300 ???? of energy. If the first and second ionization energies of ???? are 750 and ???????? ???? ?????? -?? respectively, the final composition of the mixture is (a) ???? %???? + and ???? %???? +?? (b) ???? %???? + and ???? %???? +?? (c) ???? %???? + and ???? %???? +?? (d) ???? %???? + and ???? %???? +?? Ans: (c) Mg ? Mg + + e - To ionise one mole of Mg completely 750 kJ is spent and energy left = 550 kJ. 1450 kJ ionises 1 mole of Mg +1 550 kJ ionises 0.38 mole of Mg +1 Mg + ? Mg +2 + e - 1 1 - 0.38 0.38 % of Mg + = ???? % and that of Mg +2 = ???? % Q4: ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? … . . . (i) ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? ?? ?? + ?? . . . (ii) ?? ?? ?? ? ?? ???? ?? ( ?? ); ?? ?? ?? = -?????? ?? … . . (iii) ?? ?? ° for the following reaction ???????? + ?? ?? ?? ? ???????? + ?? ???? ?? would be (a) +???????? ?? (b) -???????? ?? (c) +?????? ?? (d) -?????? ?? Ans: (d) ?G o = 2? G ZnO ° + 2? G SO 2 ° - 2? G ZnS ° = [-616- 408] - [-293] = - 731 J. Q5: The enthalpies of combustion of ?? (graphite) and ?? (diamond) are 393.5 and -?????? . ?? ???? /?????? respectively. The enthalpy of conversion of ?? (graphite) to ?? (diamond) in ???? /?????? is (a) -2.9 (b) -888.9 (c) 788.9 (d) 1.9 Ans: (d) C graphite + O 2 ? CO 2 ; ?H = -393.5 C diamond + O 2 ? CO 2 ; ?H = -395.4 ? C graphite C diamond = -393.5 + 395.4 = ?? . ?? Q6: Which one of the following statement is false? (a) work is a state function. (b) temperature is a state function. (c) work appears at the boundary of the system. (d) change in the state is completely defined when the initial and final states are specifi ed. Ans: (a) Q7: One mole of ice is converted into water at ?????? ?? . The ?? ?? -?? respectively. The enthalpy change for the conversion is (a) ???? . ???? ?? ?????? -?? (b) ???????? ?? ???????? -?? (c) ?????? . ?? ?? ???????? -?? (d) ?????? . ?? ?? ???????? -?? Ans: (b) ?G = ?H - T?S. At equilibrium ?G = 0, so ?H = T?S ?H = 273 × (60.01 - 38.20) = 5954.13 J mole -1 . Q8: The difference between heats of reaction at constant pressure and constant volume of the following reaction would be ?? ?? ?? ?? ?? (?? ) + ???? ?? ?? ( ?? ) ? ???? ???? ?? ( ?? ) + ?? ?? ?? ?? (?? ) at ???? ° ?? in ???? ?????? -?? is (a) -7.43 (b) +4.72 (c) -5.72 (d) +8.43 Ans: (a) ?H = ?U + ?n g RT ? ?H - ?U = ?n g RT = -3 × 8.314× 298 1000 = -?? . ???????? ???? ?????? -1 . Q9: For which of the following change ?? ?? ? ?? ?? ? (A) ?? ?? ( ?? ) + ?? ?? ( ?? ) ? ?????? (?? ) (B) ?????? (???? ) + ???????? (???? ) ? ???????? (???? ) + ?? ?? ?? (?? ) (C) ?? (?? ) + ?? ?? ( ?? ) ? ???? ?? ( ?? ) (D) ?? ?? ( ?? ) + ?? ?? ?? ( ?? ) ? ?? ???? ?? ( ?? ) Ans: (D) ??? = ??? + ??? ?? ? Page 4 JEE Solved Example on Thermodynamic JEE Mains Q1: Calculate the enthalpy of formation of ???? - ions from the following thermochemical data: ?? ?? ?? (?? ) ? ?? (???? ) + + ???? - (???? ) ; ?? ?? ?????? ?? ° = +???? . ???? ???? ?? ?? ( ?? ) + ?? ?? ?? ?? (?? ) ? ?? ?? ?? (?? ) ; ?? ?? ?????? ?? ° = -?????? . ???? ???? (a) -?????? . ???? ???? (b) -?????? . ???? ???? (c) +?????? . ?? ???? (d) -?????? . ?? ???? Ans: (a) ?H ° = 57.32 = ? ?H f ° (products ) - ? ?H f ° (reactants ) 57.32 = ?H f ° (OH - ) + 285.83? H f ° (OH - ) = -?????? . ???? ???? Q2: Using bond energy data, calculate heat of formation of isoprene Given bond energy of C–H = 98.8 kcal, H–H = 104 kcal, C–C = 83 kcal, C=C = 147 kcal and ?H of C(s) ? C(g) = 171 kcal (a) ???? . ?????????? ?????? -?? (b) ???? . ?????????? ?????? -?? (c) ?????????????? ?????? -?? (d) ?????????????? ?????? -?? Ans: ?H = 5(171) + 4(104) - [(147 × 2) + (83 × 2) + (8 × 98.8)] = ???? . ?????????? Q3: One mole of magnesium in the vapour state absorbed 1300 ???? of energy. If the first and second ionization energies of ???? are 750 and ???????? ???? ?????? -?? respectively, the final composition of the mixture is (a) ???? %???? + and ???? %???? +?? (b) ???? %???? + and ???? %???? +?? (c) ???? %???? + and ???? %???? +?? (d) ???? %???? + and ???? %???? +?? Ans: (c) Mg ? Mg + + e - To ionise one mole of Mg completely 750 kJ is spent and energy left = 550 kJ. 1450 kJ ionises 1 mole of Mg +1 550 kJ ionises 0.38 mole of Mg +1 Mg + ? Mg +2 + e - 1 1 - 0.38 0.38 % of Mg + = ???? % and that of Mg +2 = ???? % Q4: ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? … . . . (i) ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? ?? ?? + ?? . . . (ii) ?? ?? ?? ? ?? ???? ?? ( ?? ); ?? ?? ?? = -?????? ?? … . . (iii) ?? ?? ° for the following reaction ???????? + ?? ?? ?? ? ???????? + ?? ???? ?? would be (a) +???????? ?? (b) -???????? ?? (c) +?????? ?? (d) -?????? ?? Ans: (d) ?G o = 2? G ZnO ° + 2? G SO 2 ° - 2? G ZnS ° = [-616- 408] - [-293] = - 731 J. Q5: The enthalpies of combustion of ?? (graphite) and ?? (diamond) are 393.5 and -?????? . ?? ???? /?????? respectively. The enthalpy of conversion of ?? (graphite) to ?? (diamond) in ???? /?????? is (a) -2.9 (b) -888.9 (c) 788.9 (d) 1.9 Ans: (d) C graphite + O 2 ? CO 2 ; ?H = -393.5 C diamond + O 2 ? CO 2 ; ?H = -395.4 ? C graphite C diamond = -393.5 + 395.4 = ?? . ?? Q6: Which one of the following statement is false? (a) work is a state function. (b) temperature is a state function. (c) work appears at the boundary of the system. (d) change in the state is completely defined when the initial and final states are specifi ed. Ans: (a) Q7: One mole of ice is converted into water at ?????? ?? . The ?? ?? -?? respectively. The enthalpy change for the conversion is (a) ???? . ???? ?? ?????? -?? (b) ???????? ?? ???????? -?? (c) ?????? . ?? ?? ???????? -?? (d) ?????? . ?? ?? ???????? -?? Ans: (b) ?G = ?H - T?S. At equilibrium ?G = 0, so ?H = T?S ?H = 273 × (60.01 - 38.20) = 5954.13 J mole -1 . Q8: The difference between heats of reaction at constant pressure and constant volume of the following reaction would be ?? ?? ?? ?? ?? (?? ) + ???? ?? ?? ( ?? ) ? ???? ???? ?? ( ?? ) + ?? ?? ?? ?? (?? ) at ???? ° ?? in ???? ?????? -?? is (a) -7.43 (b) +4.72 (c) -5.72 (d) +8.43 Ans: (a) ?H = ?U + ?n g RT ? ?H - ?U = ?n g RT = -3 × 8.314× 298 1000 = -?? . ???????? ???? ?????? -1 . Q9: For which of the following change ?? ?? ? ?? ?? ? (A) ?? ?? ( ?? ) + ?? ?? ( ?? ) ? ?????? (?? ) (B) ?????? (???? ) + ???????? (???? ) ? ???????? (???? ) + ?? ?? ?? (?? ) (C) ?? (?? ) + ?? ?? ( ?? ) ? ???? ?? ( ?? ) (D) ?? ?? ( ?? ) + ?? ?? ?? ( ?? ) ? ?? ???? ?? ( ?? ) Ans: (D) ??? = ??? + ??? ?? ? Case-I = ??? 9 = 2 - 1 - 1 = 0 Case-II = ??? 9 = 0 - 0 = 0 Case-III = ??? 9 = 1 - 1 = 0 Case-IV = ??? 9 = 2 - 3 - 1 = -2 ? 0 ? In option (?)??? = ??? Q10: The reactions ???? ?? ( ?? ) + ???? ?? ( ?? ) ? ???? ?? ???? (?? ) + ?????? (?? ). has ???? = -???????????? Bond Bond Energy ???????? ?? ?? -???? ? ???? ?? ?????????? ? ?????? ?? ?????? ? ?? ?? ???? ????? ?? ?? : ?? = ?? : ?? From the given data, what is the bond enthalpy of ???? - ???? bond (A) ???????????? (B) ???????????? (C) ???? . ???????????? (D) ???? . ???????????? Ans: (D) CH 4 + Cl 2 ? ? CH 3 Cl+ HCl ?H = -25 -25 = 4 × C - H + 4Cl -Cl- 3 × CH- 1C- Cl- 1H- Cl Q11: If ?? ?? , ?? ?? and ?? ?? are enthalpies of ?? - ?? , ?? = ?? and ?? - ?? bonds respectively, and ?? ?? is the enthalpy of vaporization of water, estimate the standard enthalpy of combustion of hydrogen (A) ?? ?? + ?? ?? ?? - ?? ?? ?? + ?? ?? (B) ?? ?? + ?? ?? ?? - ?? ?? ?? - ?? ?? (C) ?? ?? + ?? ?? ?? - ?? ?? + ?? ?? (D) ?? ?? ?? - ?? ?? - ?? ?? ?? - ?? ?? Ans: B Page 5 JEE Solved Example on Thermodynamic JEE Mains Q1: Calculate the enthalpy of formation of ???? - ions from the following thermochemical data: ?? ?? ?? (?? ) ? ?? (???? ) + + ???? - (???? ) ; ?? ?? ?????? ?? ° = +???? . ???? ???? ?? ?? ( ?? ) + ?? ?? ?? ?? (?? ) ? ?? ?? ?? (?? ) ; ?? ?? ?????? ?? ° = -?????? . ???? ???? (a) -?????? . ???? ???? (b) -?????? . ???? ???? (c) +?????? . ?? ???? (d) -?????? . ?? ???? Ans: (a) ?H ° = 57.32 = ? ?H f ° (products ) - ? ?H f ° (reactants ) 57.32 = ?H f ° (OH - ) + 285.83? H f ° (OH - ) = -?????? . ???? ???? Q2: Using bond energy data, calculate heat of formation of isoprene Given bond energy of C–H = 98.8 kcal, H–H = 104 kcal, C–C = 83 kcal, C=C = 147 kcal and ?H of C(s) ? C(g) = 171 kcal (a) ???? . ?????????? ?????? -?? (b) ???? . ?????????? ?????? -?? (c) ?????????????? ?????? -?? (d) ?????????????? ?????? -?? Ans: ?H = 5(171) + 4(104) - [(147 × 2) + (83 × 2) + (8 × 98.8)] = ???? . ?????????? Q3: One mole of magnesium in the vapour state absorbed 1300 ???? of energy. If the first and second ionization energies of ???? are 750 and ???????? ???? ?????? -?? respectively, the final composition of the mixture is (a) ???? %???? + and ???? %???? +?? (b) ???? %???? + and ???? %???? +?? (c) ???? %???? + and ???? %???? +?? (d) ???? %???? + and ???? %???? +?? Ans: (c) Mg ? Mg + + e - To ionise one mole of Mg completely 750 kJ is spent and energy left = 550 kJ. 1450 kJ ionises 1 mole of Mg +1 550 kJ ionises 0.38 mole of Mg +1 Mg + ? Mg +2 + e - 1 1 - 0.38 0.38 % of Mg + = ???? % and that of Mg +2 = ???? % Q4: ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? … . . . (i) ?????? + ?? ?? ? ???????? ; ?? ?? ?? = -?????? ?? ?? ?? + ?? . . . (ii) ?? ?? ?? ? ?? ???? ?? ( ?? ); ?? ?? ?? = -?????? ?? … . . (iii) ?? ?? ° for the following reaction ???????? + ?? ?? ?? ? ???????? + ?? ???? ?? would be (a) +???????? ?? (b) -???????? ?? (c) +?????? ?? (d) -?????? ?? Ans: (d) ?G o = 2? G ZnO ° + 2? G SO 2 ° - 2? G ZnS ° = [-616- 408] - [-293] = - 731 J. Q5: The enthalpies of combustion of ?? (graphite) and ?? (diamond) are 393.5 and -?????? . ?? ???? /?????? respectively. The enthalpy of conversion of ?? (graphite) to ?? (diamond) in ???? /?????? is (a) -2.9 (b) -888.9 (c) 788.9 (d) 1.9 Ans: (d) C graphite + O 2 ? CO 2 ; ?H = -393.5 C diamond + O 2 ? CO 2 ; ?H = -395.4 ? C graphite C diamond = -393.5 + 395.4 = ?? . ?? Q6: Which one of the following statement is false? (a) work is a state function. (b) temperature is a state function. (c) work appears at the boundary of the system. (d) change in the state is completely defined when the initial and final states are specifi ed. Ans: (a) Q7: One mole of ice is converted into water at ?????? ?? . The ?? ?? -?? respectively. The enthalpy change for the conversion is (a) ???? . ???? ?? ?????? -?? (b) ???????? ?? ???????? -?? (c) ?????? . ?? ?? ???????? -?? (d) ?????? . ?? ?? ???????? -?? Ans: (b) ?G = ?H - T?S. At equilibrium ?G = 0, so ?H = T?S ?H = 273 × (60.01 - 38.20) = 5954.13 J mole -1 . Q8: The difference between heats of reaction at constant pressure and constant volume of the following reaction would be ?? ?? ?? ?? ?? (?? ) + ???? ?? ?? ( ?? ) ? ???? ???? ?? ( ?? ) + ?? ?? ?? ?? (?? ) at ???? ° ?? in ???? ?????? -?? is (a) -7.43 (b) +4.72 (c) -5.72 (d) +8.43 Ans: (a) ?H = ?U + ?n g RT ? ?H - ?U = ?n g RT = -3 × 8.314× 298 1000 = -?? . ???????? ???? ?????? -1 . Q9: For which of the following change ?? ?? ? ?? ?? ? (A) ?? ?? ( ?? ) + ?? ?? ( ?? ) ? ?????? (?? ) (B) ?????? (???? ) + ???????? (???? ) ? ???????? (???? ) + ?? ?? ?? (?? ) (C) ?? (?? ) + ?? ?? ( ?? ) ? ???? ?? ( ?? ) (D) ?? ?? ( ?? ) + ?? ?? ?? ( ?? ) ? ?? ???? ?? ( ?? ) Ans: (D) ??? = ??? + ??? ?? ? Case-I = ??? 9 = 2 - 1 - 1 = 0 Case-II = ??? 9 = 0 - 0 = 0 Case-III = ??? 9 = 1 - 1 = 0 Case-IV = ??? 9 = 2 - 3 - 1 = -2 ? 0 ? In option (?)??? = ??? Q10: The reactions ???? ?? ( ?? ) + ???? ?? ( ?? ) ? ???? ?? ???? (?? ) + ?????? (?? ). has ???? = -???????????? Bond Bond Energy ???????? ?? ?? -???? ? ???? ?? ?????????? ? ?????? ?? ?????? ? ?? ?? ???? ????? ?? ?? : ?? = ?? : ?? From the given data, what is the bond enthalpy of ???? - ???? bond (A) ???????????? (B) ???????????? (C) ???? . ???????????? (D) ???? . ???????????? Ans: (D) CH 4 + Cl 2 ? ? CH 3 Cl+ HCl ?H = -25 -25 = 4 × C - H + 4Cl -Cl- 3 × CH- 1C- Cl- 1H- Cl Q11: If ?? ?? , ?? ?? and ?? ?? are enthalpies of ?? - ?? , ?? = ?? and ?? - ?? bonds respectively, and ?? ?? is the enthalpy of vaporization of water, estimate the standard enthalpy of combustion of hydrogen (A) ?? ?? + ?? ?? ?? - ?? ?? ?? + ?? ?? (B) ?? ?? + ?? ?? ?? - ?? ?? ?? - ?? ?? (C) ?? ?? + ?? ?? ?? - ?? ?? + ?? ?? (D) ?? ?? ?? - ?? ?? - ?? ?? ?? - ?? ?? Ans: B ??? comb = ???? (?? - 11) + 1/2?? · ?? (?? = ?? - 2 × ?? · ?? (???? ) B.E. (vap) = ?? 1 + ?? /2 - 2 × ?? 3 - ?? 4 Q12: For the allotropic change represented by the equation ?? (graphite) ? ?? (diamond), ?? = ?? . ?? ???? . If ?? ?? of diamond and ?? ?? of graphite are separately burnt to yield ???? ?? , the enthalpy liberated in first case is (A) Less than in the second case by ?? . ?? ???? (B) More than in the second case by ???? . ?? ???? (C) More than in the second case by ?? . ???? ???? (D) Less than in second case by ???? . ?? ???? Ans: (C)Read More
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