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Q. The heat of combustion of benzene at $27^{\circ} C$ found by bomb calorimeter $i . e .,$ for the reaction
$C _{6} H _{6(l)}+\frac{15}{2} O _{2(g)} \longrightarrow 6 CO _{2( g )}+3 H _{2} O _{( l )}$
is $780\, kcal\, mol ^{-1}$. The heat evolved on burning $39 \,g$ of benzene in an open vessel will be

Thermodynamics

Solution:

$\Delta n=6-\frac{15}{2}=-\frac{3}{2}$

$\Delta H=\Delta E+\Delta n_{(g)} R T$

$=-780-\frac{3}{2} \times \frac{2}{1000} \times 300$

$=-780.9 kcal\, mol ^{-1}$

This is the heat evolved from 1 mole of benzene i.e., 78 g.

$\therefore $ From $39 g ,$ heat evolved

$=-\frac{780.9}{2}=-390.45$ kcal