Ncert Solutions Chemistry Class 11th
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22. Calculate the entropy change in surroundings when 1.00 mol of H2O (l) is formed under standard conditions. ΔfH? = – 286 kJ mol–1.
22. Calculate the entropy change in surroundings when 1.00 mol of H2O (l) is formed under standard conditions. ΔfH? = – 286 kJ mol–1.
22. qrev = (-ΔfH? ) = - (- 286kJ mol-1) = 286 x 103 Jmol-1 = 286000 J mol-1
ΔS (surroundings) = qrev/ T = 286000 J mol-1 / 298 K
 
21. Comment on the thermodynamic stability of NO (g), given
½ N2 (g) + ½ O2 (g) → NO (g); ΔrH? = 90 kJ mol–1
NO (g) + ½ O2 (g) → NO2 (g); ΔrH? = –74 kJ mol–1
21. Comment on the thermodynamic stability of NO (g), given
½ N2 (g) + ½ O2 (g) → NO (g); ΔrH? = 90 kJ mol–1
NO (g) + ½ O2 (g) → NO2 (g); ΔrH? = –74 kJ mol–1
21. For NO (g), ΔrH° is a +ve value. So, it is unstable in nature.
For NO2 (g), ΔrH° is a -ve value. So, it is stable
20. The equilibrium constant for a reaction is 10. What will be the value of ΔG°?
R = 8.314 JK–1 mol–1, T = 300 K.
20. The equilibrium constant for a reaction is 10. What will be the value of ΔG°?
R = 8.314 JK–1 mol–1, T = 300 K.
20. ΔG° = -RT ln K = - 2.303 RT log K
Putting the values of
R = 8.314 J K-1 mol-1,
T = 300 K and
K =10; we get
ΔG° = - 2.303 x 8.314 J K-1 mol-1 x 300 K and K x log 10
= - 5527 J mol-1
= -5.527 kJ mol
19. For the reaction 2 A(g) + B(g) → 2D(g)
ΔU° = – 10.5 kJ and ΔS? = – 44.1 JK–1.
Calculate ΔG? for the reaction, and predict whether the reaction may occur spontaneously.
19. For the reaction 2 A(g) + B(g) → 2D(g)
ΔU° = – 10.5 kJ and ΔS? = – 44.1 JK–1.
Calculate ΔG? for the reaction, and predict whether the reaction may occur spontaneously.
19. ΔH° = ΔU° + Δng RT
ΔU° = -10.5 kJ, Δng = 2-3 = -1 mol, R = 8.314 x 10-3 kJ mol-1, T = 298 K
ΔH° = (- 10.5 kJ) + [ (- 1 mol) x (8.314 x 10-3 kJ mol-1) x (298 K)]
= -10.5 kJ – 2.478 kJ
= -12.978 kJ
According to Gibbs Helmhol
18. For the reaction; 2Cl (g) → Cl2 (g); what will be the signs of ?H and ?S?
18. For the reaction; 2Cl (g) → Cl2 (g); what will be the signs of ?H and ?S?
18. ? H: negative (-ve) because energy is released in bond formation
? S: negative (-ve) because entropy decreases when atoms combine to form molecules.
17. For the reaction at 298 K, 2A + B → C
ΔH = 400 kJ mol–1 and ΔS = 0.2 kJ K–1 mol–1
At what temperature will the reaction become spontaneous considering ΔH and ΔS to be constant over the temperature range?
17. For the reaction at 298 K, 2A + B → C
ΔH = 400 kJ mol–1 and ΔS = 0.2 kJ K–1 mol–1
At what temperature will the reaction become spontaneous considering ΔH and ΔS to be constant over the temperature range?
17. As per the Gibbs Helmholtz’s equation:
ΔG = Δ H - TΔ S
For ΔG=0;
ΔH=TΔS
Or T=ΔH/ΔS
T = (400 KJ mol-1)/ (0.2 KJ K-1 mol-1)
= 2000 k
Thus, reaction will be in a state of equilibrium at 2000 K and will be spontaneous above this temperature
16. Change in internal energy (? U) for an isolated system is zero for it does not exchange any energy with the surroundings. But entropy tends to increase in case of spontaneous reaction. Therefore? S > 0 or positive.
15. Calculate the enthalpy change for the process
CCl4(g) → C(g) + 4 Cl(g)
and calculate bond enthalpy of C – Cl in CCl4(g).
ΔvapH?(CCl4) = 30.5 kJ mol–1.
ΔfH? (CCl4) = –135.5 kJ mol–1.
ΔaH? (C) = 715.0 kJ mol–1, where ΔaH? is enthalpy of atomisation
ΔaH? (Cl2) = 242 kJ mol–1
15. Calculate the enthalpy change for the process
CCl4(g) → C(g) + 4 Cl(g)
and calculate bond enthalpy of C – Cl in CCl4(g).
ΔvapH?(CCl4) = 30.5 kJ mol–1.
ΔfH? (CCl4) = –135.5 kJ mol–1.
ΔaH? (C) = 715.0 kJ mol–1, where ΔaH? is enthalpy of atomisation
ΔaH? (Cl2) = 242 kJ mol–1
15. According to the question:
i. CCl4 (l) → CCl4 (g), ? vapH? = 30.5 kJ mol–1
iii. C (s) + 2Cl2 (g) → CCl4 (l), ? fH? = –135.5 kJ m
14. Calculate the standard enthalpy of formation of CH3OH from the following data:
(i) CH3OH(l) + 3/2 O2 (g) → CO2 (g) + 2H2O (l); ?rH?= – 726kJ mol-1
(ii) C(graphite) + O2(g) → CO2 (g); ?cH? = – 393 kJ mol-1
(iii) H2(g) + 1/2O2(g) → H2O (l); ?fH? = -286 kJ mol-1
14. Calculate the standard enthalpy of formation of CH3OH from the following data:
(i) CH3OH(l) + 3/2 O2 (g) → CO2 (g) + 2H2O (l); ?rH?= – 726kJ mol-1
(ii) C(graphite) + O2(g) → CO2 (g); ?cH? = – 393 kJ mol-1
(iii) H2(g) + 1/2O2(g) → H2O (l); ?fH? = -286 kJ mol-1
14. The reaction for the formation of CH3OH can be obtained by:
C (s) + 2H2 (g) + l/2O2 (g) → CH3OH (l)
This can be obtained by the algebraic calculations of the reactions:
Equation (ii) + 2 x equation (iii) – equation (i)
? Hf [CH3OH] =? cH? + 2 x? fH? -? rH?
&n
13. Given N2(g) + 3H2(g) → 2NH3(g); ?r H– = -92.4 kJ mol-1. What is the standard enthalpy of formation of NH3 gas?
13. Given N2(g) + 3H2(g) → 2NH3(g); ?r H– = -92.4 kJ mol-1. What is the standard enthalpy of formation of NH3 gas?
13. N2 (g) + 3H2 (g) → 2NH3 (g); ? rH= -92.4 kJ/mol