First slide

Gibb's Helmholtz equation

Question

For a given reaction, $Δ H = 35.5 kJ {mol}^{- 1}$ and $Δ S = 83.6 {JK}^{- 1} {mol}^{- 1}$ The reaction is spontaneous at(Assume that $Δ H and Δ S$ do not vary with temperature.)

Moderate

Solution

For a spontaneous reaction,
$Δ G < 0 i.e., Δ H - T Δ S < 0 T > \frac{Δ H}{Δ S} T > (\frac{35.5 \times 1000}{83.6} = 424.6 \approx 425 K) ∴ T > 425 K$

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