d
\(\Delta U = -3199.7529 \,KJ\)

\(7C_{(s)} + 3H_{2(g)} + O_{2(g)} \rightarrow C_6H_5COOH_{(s)}, \Delta H^o = -408 \,KJ ………..(1)\)

\(C_{(s)} + O_{2(g)} \rightarrow CO_{2(g)} ; \Delta H^o = -393 \,KJ …….(2)\)

\(H_{2(g)} + {1\over 2} O_{2(g)} \rightarrow H_2O_{(l)} \Delta H^o = -286\, KJ ……….(3)\)

\(C_6H_5COOH_{(s)}\) + \({15\over 2}O_{2(g)} \) \( \rightarrow 7CO_{2(g)} \)+ \( {2H_2O}\) \(_{(l)} \)  \(\Delta H = ? ………..(4)\)

By, \((2) \times 7 + (3) \times 3 ………(1)\)

\(\Delta H^o = [- 393 \times 7 - 286 \times 3 + 408]\)

\(\Delta H^o = - 3201 \,KJ         \Delta H = \Delta U + \Delta nRT\)

\(-3201 = \Delta U + (-0.5) \times 8.314 \times 10^{-3} \times 300\)

\(\Delta U = - 3201 + 1.2471 = - 3199.7529 \,kJ\)