In the combustion of carbon to form methane, the change in enthalpy is -652 kJ

C(g) + 4H(g) rightwards arrowCH4 (g) incrementH = −652 kJ

What will be the value of incrementH for the process 1 halfC (g)+ 2H (g) rightwards arrow 1 halfCH4 (g) incrementH = ?

-326 kJ
+652 kJ
-652 kJ
+326 kJ

-326 kJ

+652 kJ

-652 kJ

+326 kJ

1 answer

The chemical equation for combustion of carbon to form methane involves 1 mol of carbon and 4 mol of hydrogen. To get the desired equation that relates the formation of 1/2 mol of methane, we need to divide the original equation by 8, giving:

1/2 C(g) + 2H(g) → 1/2 CH4(g)

Since the coefficients of the species in the balanced equation are all divided by 8, the change in enthalpy must also be divided by 8. Therefore:

ΔH = (-652 kJ)/8 = -81.5 kJ

So the answer is -326 kJ.
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