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The standard enthalpy of combustion at 25°C of hydrogen, cyclohexene (C6H10) and cyclohexane (C6H12) are -241, -3800 and -3920 kJ/mole respectively.

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The standard enthalpy of combustion at 25°C of hydrogen, cyclohexene (C6H10) and cyclohexane (C6H12) are -241, -3800 and -3920 kJ/mole respectively. Calculate the heat of hydrogenation of cyclohexene.

(a) -111 kJ/mol

(b) -121 kJ/mol

(c) -118 kJ/mol

(d) -128 kJ/mol

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(b) -121 kJ/mol

Explanation:

The required reaction is

C6H10+ H2 → C6H12, ΔH1 = ?   ....(1)

Let us write the given facts

H2 + 1/2O2 → H2O;

ΔH2 = -241 kJ/mol    .....(2)

C6H10+ 17/2O2 → 6CO2 + 5H2O

ΔH3 = -3800 kJ/mol    .....(3)

C6H12 + 9O2 → 6CO2 + 6H2O

ΔH4 = -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).

C6H10+ H2 → C6H12

ΔH1 = (ΔH2 + ΔH3) - ΔH4

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

= (-241 – 3800) - (-3920)

= - 4041 + 3920 = -121 kJ/mol

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