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Question

Chemistry Question on Thermodynamics

The enthalpy of combustion at 25C25^{\circ} C of H2H _{2}, cyclohexane (C6H12)\left( C _{6} H _{12}\right) and cyclohexene (C6H10)\left( C _{6} H _{10}\right) are 241,3920-241,-3920 and 3800kJ/mol-3800\, kJ / mol respectively. The heat of hydrogenation of cyclohexene is :

A

- 121 kJ/mol

B

#ERROR!

C

- 242 kJ/mol

D

#ERROR!

Answer

- 121 kJ/mol

Explanation

Solution

H2+12O2H2OH _{2}+\frac{1}{2} O _{2} \longrightarrow H _{2} O ΔH=241kJ\Delta H=-241\, kJ ... (i) C6H10+172O26CO2+5H2OC _{6} H _{10}+\frac{17}{2} O _{2} \longrightarrow 6 CO _{2}+5 H _{2} O ΔH=3800kJ\Delta H=-3800\, kJ ...(ii) C6H12+9O26CO2+6H2OC _{6} H _{12}+9 O _{2} \longrightarrow 6 CO _{2}+6 H _{2} O ΔH=3920kJ\Delta H=-3920\, kJ ...(iii) hydrogenation of cyclohexene- C6H10+H2C6H12C _{6} H _{10}+ H _{2} \longrightarrow C _{6} H _{12} Eq (i) }+ Eq (ii) - Eq (iii) ΔH=2413800(3920)\Delta H =-241-3800-(-3920) =4041+3920=-4041+3920 =121kJ=-121\, kJ