For a given reaction, and . The reaction is spontaneous at (Assume that and do not vary with temperature.) [2017]

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Solution

Q.
For a given reaction, $Δ H = 35.5$ $kJ$ ${mol}^{- 1}$ and $Δ S = 83.6$ $J$ $K^{- 1} {mol}^{- 1}$ . The reaction is spontaneous at (Assume that $Δ H$ and $Δ S$ do not vary with temperature.) [2017]

1 $T > 425$ $K$

2 all temperatures

3 $T > 298$ $K$

4 $T < 425$ $K$

Ans.
(1)

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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