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The Arrhenius equation for trans ispmeri...

The Arrhenius equation for trans ispmerisation of `2`-butene and `2`-butene nitrile are given as follows:
(a) For `2`-butene `CH_(3)CH = CHCH_(3)K(S^(-1)) = 10^(13.8)`
(b) For `2`-butene nitrile `CH_(3)CH = CH.CNK'(S^(-1))`
`= 10^(11) exp^(-214.5 kJ "mol"-1//Rt)`
The temperature at which `K = K'`

A

`913.87 K`

B

`533.43 K`

C

`1000.02 K`

D

`407.05 k`

Text Solution

Verified by Experts

The correct Answer is:
A
`because K = K'`
`10^(13.8)exp^(-263.5 "kJ mol"^(-1)//RT) = 10^(11) exp^(-214.5 "kJ mol"^(-1)//RT)`
or `10^(13.8-11) = exp([(-214.5) - (-263.5)]kJ mol^(-1))/(8.314 xx 10^(-3) kJ mol^(-1) K^(@) xx T)`
or `630.957 = exp(5.893 xx 10^(3))/(T)`
`:. 2.303 log 630.957 = (5.893 xx 10^(3))/(T)`
`:. T = (5.893 xx 10^(3))/(2.303 xx 2.8) = 913.87 K`
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The Arrhenius equations for cis-trans isomerzation of but-2-ene (CH_(3)-CH=CH-CH_(3)) and but-2-ene, 1 nitrile (CH_(3)-CH=CH-CN) are, k(s^(-1))=10^(13.8)exp(-263.5kJ"mol"^(-1)//RT) k^(-1)(s^(-1))=10^(11)exp(-214.5 kJ"mol"^(-1)//RT) Calculate the temperature at which k=k^(-1) .

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Knowledge Check

  • For synthesis of 1-butene, CH_(3)MgI should be treated with

    A
    propene
    B
    2-chloropropene
    C
    allyl chloride
    D
    ethyl chloride

  • In the given reaction CH_(3)CH_(2) CH -= CHCH_(3) overset(X) to CH_(3)CH_(2)COOH + CH_(3)COOH The X is

    A
    `C_(2)H_(5)ON a`
    B
    Conc. `HCl + "Anhy"ZnCl_(2)`
    C
    Anh. `AlCl_(3)`
    D
    `KMnO_(4)//OH^(-)`

  • The ascending order of stability of the carbanion CH_(3)^(-) (P), C_(6)H_(5)CH_(2)^(-)(Q), (CH_(3))_(2)CH^(-) (R) and CH_(2) = CHCH_(2)^(-) (S) is

    A
    `P lt R lt S lt Q`
    B
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    C
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