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EEJ MAIN Chemistry QUESTION #7129
Question 1
The combustion of benzene releases $CO_{2}(g)$ and $H_{2}O(l)$. At $25^{\circ}C$, the heat of combustion at constant volume ($\Delta U$) is $-3263.9\text{ kJ mol}^{-1}$. Calculate the heat of combustion at constant pressure ($\Delta H$) in $\text{kJ mol}^{-1}$. ($R = 8.314\text{ J K}^{-1}\text{ mol}^{-1}$)
  • 3260
  • -3267.6✔️
  • 4152.6
  • -452.46
Correct Answer Explanation
The relationship is given by $\Delta H = \Delta U + \Delta n_g RT$.
Reaction: $C_{6}H_{6}(l) + 7.5O_{2}(g) \rightarrow 6CO_{2}(g) + 3H_{2}O(l)$.
$\Delta n_g = 6 - 7.5 = -1.5$.
$\Delta H = -3263.9 + (-1.5 \times 8.314 \times 10^{-3} \times 298) = -3263.9 - 3.7 = -3267.6\text{ kJ mol}^{-1}$.