For a reaction : $2 A (s) + B (g) ⟶ 3 C (l)$
standard entropy change of reaction is 2 kJ/mol-K and standard enthalpy of combustion of A, B and C are -100, -60, - 285 kJ/mol respectively, then find the maximum useful work that can be obtained at 27° C and 1 bar pressure for reaction (in kJ/mol).

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answer is 5.

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Detailed Solution

I Useful work I $= Δ G$

$\begin{array}{l} Δ S = 2 kJ / mol - K \\ Δ H = 2 (- 100) - 60 - 3 (- 285) \\ Δ H = - 200 - 60 + 855 \\ Δ H = 595 kJ / mol \\ Δ G = Δ H - T Δ S \\ Δ G = 595 - 300 \times 2 \\ Δ G = - 5 kJ / mol, | Δ G | = 5 kJ / mole \end{array}$

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