MCQ
The standard enthalpy of combustion at $25\,^oC$ of hydrogen, cyclohexene $(C_6H_{10})$ and cyclohexane $(C_6H_{12})$ are $-241, -3800$ and $-3920\, kJ/mole$ respectively. Calculate the heat of hydrogenation of cyclohexene........$kJ/mol$
  • A
    $-111$
  • $-121$
  • C
    $-118$
  • D
    $-128$

Answer

Correct option: B.
$-121$
b
The required reaction is

 $\mathop {{C_6}{H_{10}}}\limits_{Cyclohexene}  + {H_2} \to \mathop {{C_6}{H_{12}},}\limits_{Cyclohexane} \,\,\,\,\,\,\,\,\,\,\,\Delta {H_1} = ?.....(1)$

Let us write the given facts

${H_2} + \frac{1}{2}{O_2} \to {H_2}O;$

$\Delta {H_2} =  - 241\,\,kJ/mol.....(2)$

${C_6}{H_{10}} + \frac{{17}}{2}{O_2} \to 6C{O_2} + 5{H_2}O,$

$\Delta {H_3} =  - 3800\,kJ/mol.....(3)$

${C_6}{H_{12}} + 9{O_2} \to 6C{O_2} + 6{H_2}O,$

$\Delta {H_4} =  - 3920\,kJ/mol.....(4)$

The required reaction $(1)$ can be obtained by adding equations $(2)$ and $(3)$, and subtracting $(4)$ from the sum of $(2)$ and $(3)$.

${C_6}{H_{10}} + {H_2} \to {C_6}{H_{12}}$

$\Delta {H_1} = (\Delta {H_2} + \Delta {H_3}) - \Delta {H_4}$

$ = [ - 241 + ( - 3800)] - ( - 3920)$

$ = ( - 241 - 3800) - ( - 3920)$

$ =  - 4041 + 3920 =  - 121\,kJ/mol$

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