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Question

For which of the following reaction $$k_{310}/k_{300}$$ would be maximum ?


A
P+QR;Ea=10kJ
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B
E+FD;Ea=21kJ
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C
A+BC;Ea=10.5kJ
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D
L+MN;Ea=5kJ
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Solution

The correct option is B $$E\, +\, F\, \rightarrow\, D;\, E_a\, =\, 21\, kJ$$
$$k_{310}\, >\, k_{300}$$, and $$k\, \propto\, \displaystyle \frac {1}{E_a}$$ and also $$E_a\, \propto\, \displaystyle \frac {1}{T}$$
But $$E_a$$ at $$310\, K\, <\, E_a$$ at $$300K$$
$$\therefore\, k_{310}/k_{300}$$ will be maximum for the reaction having high $$E_a$$
$$E\, +\, F\, \rightarrow\, D;\, E_a\, =\, 21\, kJ$$

Chemistry

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