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Question: It is found that the equilibrium constant increases by a factor of four when the temperature is incr...

It is found that the equilibrium constant increases by a factor of four when the temperature is increased from to . The value of ΔHo\Delta H ^ { o } is

A

25.46 kJ mol−125.46 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

B

171.67 kJ mol−1171.67 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }

C

D

Answer

Explanation

Solution

Using the equation,

,

we get log⁡4=ΔH2.303×8.314(1273+25−1273+40)\log 4 = \frac { \Delta H } { 2.303 \times 8.314 } \left( \frac { 1 } { 273 + 25 } - \frac { 1 } { 273 + 40 } \right)

∴ ΔH=71.67 kJ mol−1\Delta H = 71.67 \mathrm {~kJ} \mathrm {~mol} ^ { - 1 }`