Q.

The Arrhenius equation for trans isomerisation of 2-butene and 2-butene nitrile are given as follows: (a) For 2-butene CH3CH=CHCH3                    K(S−1)=1013.8×exp-263.5kJmol-1/RT(b) For 2-butene nitrile CH3CH=CH.CN             K'(S−1)=1011exp⁡−214.5 kJ mol−1/RTThe temperature at which K = K'

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a

913.87 K

b

533.43 K

c

1000.02 K

d

407.05 K

answer is A.

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Detailed Solution

∵ K=K'1013.8exp⁡−263.5 kJ mol−1/RT=1011exp⁡−214.5 kJ mol−1/RT 1013.8−11=exp⁡(−214.5)−(−263.5) kJ mol−18.314×10−3kJ mol−1K×T 630.957=exp⁡5.893×103T∴ 2.303log⁡630.957=5.893×103T∴ T=5.893×1032.303×2.8=913.87 K
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The Arrhenius equation for trans isomerisation of 2-butene and 2-butene nitrile are given as follows: (a) For 2-butene CH3CH=CHCH3                    K(S−1)=1013.8×exp-263.5kJmol-1/RT(b) For 2-butene nitrile CH3CH=CH.CN             K'(S−1)=1011exp⁡−214.5 kJ mol−1/RTThe temperature at which K = K'