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For a chemical reaction A+ B hArr C + D ...

For a chemical reaction A+ B `hArr C + D (Delta_r H^0 = 80 ` KJ `"mol"^(-1))` the entropy change `Delta_r S^0` depends on the temperature T (in K) as `(Delta_r S^0 = 2T(J K^(-1) "mol"^(-1))` .
Minimum temperature at which it will become spontaneous is ___________ K. (Integer)

Text Solution

Verified by Experts

The correct Answer is:
200
`A + BhArr C + D`
For a reaction to be spontaneous
`Delta_r G lt 0`
Or `Delta_r G^@ lt 0` (for the given case)
`rArr Delta_r H^@ - T Delta_r S^@ lt 0`
`rArr 80 xx 1000 - T xx 2T lt 0`
`rArr T^2 gt 40000`
`T gt 200`
`:. T_("min") = 200 K`.
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