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Question: For combustion of 1 mole of benzene at \(25^{o}C\), the heat of reaction at constant pressure is \(-...

For combustion of 1 mole of benzene at 25oC25^{o}C, the heat of reaction at constant pressure is 780.9- 780.9 kcal. What will be the heat of reaction at constant volume?

C6H6(l)+712O2(g)6CO2(g)+3H2O(l)C_{6}H_{6(l)} + 7\frac{1}{2}O_{2(g)} \rightarrow 6CO_{2(g)} + 3H_{2}O_{(l)}

A

781.8- 781.8 kcal

B

780.0- 780.0 kcal

C

+781.8+ 781.8kcal

D

+780.0+ 780.0kcal

Answer

780.0- 780.0 kcal

Explanation

Solution

: qP=qv+ΔngRT,qv=qPΔngRTq_{P} = q_{v} + \Delta n_{g}RT,q_{v} = q_{P} - \Delta n_{g}RT

(ΔH=ΔE=ΔngRT\Delta H = \Delta E = \Delta n_{g}RT)

qv=780.9(1.5×2×298×103=780kCalq_{v} = - 780.9 - ( - 1.5 \times 2 \times 298 \times 10^{- 3} = - 780kCal