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NCERT Class XI Chemistry Thermodynamics Solutions

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Question : 15 of 22
Marks: +1, -0
Calculate the enthalpy change for the process, CCl4(g)\mathrm{CCl}_{4(g)}C(g)+4Cl(g)\mathrm{C}_{(g)} + 4\mathrm{Cl}_{(g)} and calculate bond enthalpy of C – Cl in CCl4(g)\mathrm{CCl}_{4(g)}.
ΔvapH(CCl4)\Delta_{\mathrm{vap}}H^\circ(\mathrm{CCl}_4) = 30.5 kJ mol1, ΔfH(CCl4)\text{kJ mol}^{-1},\ \Delta_{\mathrm{f}}H^\circ(\mathrm{CCl}_4) = –135.5 kJ mol1, ΔaH(C)\text{kJ mol}^{-1},\ \Delta_{\mathrm{a}}H^\circ(\mathrm{C}) = 715.0 kJ mol1\text{kJ mol}^{-1}, where ΔaH\Delta_{\mathrm{a}}H^\circ is enthalpy of atomisation ΔaH(Cl2)\Delta_{\mathrm{a}}H^\circ(\mathrm{Cl}_2) = 242 kJ mol1\text{kJ mol}^{-1}.
Solution:  
given : CCl4(g)\mathrm{CCl}_{4(g)}C(g)+4Cl(g)\mathrm{C}_{(g)} + 4\mathrm{Cl}_{(g)} , ΔvapH(CCl4)\Delta_{\mathrm{vap}}H^\circ(\mathrm{CCl}_4) = 30.5 kJ mol1\text{kJ mol}^{-1} ... (i)
C(s)+2Cl2(g)\mathrm{C}_{(s)} + 2\mathrm{Cl}_{2(g)}CCl4(l)\mathrm{CCl}_{4(l)} , ΔfH(CCl4)\Delta_{\mathrm{f}}H^\circ(\mathrm{CCl}_4) = –135.5 kJ mol1\text{kJ mol}^{-1} ... (ii)
C(s)\mathrm{C}_{(s)}C(g)\mathrm{C}_{(g)} , ΔaH\Delta_{\mathrm{a}}H^\circ = 715.0 kJmol1\text{kJmol}^{-1} ... (iii)
Cl2(g)\mathrm{Cl}_{2(g)}2Cl(g)2\mathrm{Cl}_{(g)} , ΔaH\Delta_{\mathrm{a}}H^\circ = 242 jmol1\text{jmol}^{-1} ... (iv)
Required equation is : CCl4(g)\mathrm{CCl}_{4(g)}C(g)+4Cl(g)\mathrm{C}_{(g)} + 4\mathrm{Cl}_{(g)} ; ΔH = ?
From Hess’s law,
eqn.(iii) + 2 × eqn.(iv) – eqn.(i) – eqn.(ii) gives required equation :
∴ ΔH = 715.0 + 2(242) – 30.5 – (–135.5) = 1304 kJ mol1\text{kJ mol}^{-1}
Bond enthalpy of C – Cl in CCl4\mathrm{CCl}_4 (average value) = 13044\frac{1304}{4} = 326 kJmol1\text{kJmol}^{-1}
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