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For first order parallel reactionK(1) an...

For first order parallel reaction`K_(1)` and `K_(2)` are 4 and 2`"min"^(-1)` respectively at 300K. If the activation energies for the formation of B and C are respectively 30,000 and 38,314 Joul/mol respectively. The temperature at which B and C will be obtained in equimolar ratio is 47x. Hence x is _____________

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The correct Answer is:
8
`Aoverset(K)(to)B`
`Aoverset(K)(to)C`
`y_(B)=(K_(1))/(K_(1)+K_(2))=y_(C)=(K_(2))/((K_(1)+K_(2)))`…….1 , `K_(1)=Ae^(-epsilon)//RT`…….2
`K_(2)=Ae^(-epsilona_(2)//RT)`…….3, `K=Ae^(-epsilone//RT)`………………..4 If `T_(1)=300K,T_(2)=376K`
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