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Following are two first order reaction w...

Following are two first order reaction with their half times given at `25^(@)C`.
`A overset(t_(1//2) = 30 min)rarr` Products
`B overset(t_(1//2)=40 min)rarr` Products
The temperature coefficients of their reactions rates are `3` and `2`, respectively, beween `25^(@)C` and `35^(@)C`. IF the above two resctions are carried out taking `0.4 M` of each reactant but at different temperatures: `25^(@)C` for the first order reaction and `35^(@)C` for the second order reaction, find the ratio of the concentrations of `A` and `B` after an hour.

Text Solution

Verified by Experts

The correct Answer is:
2
`0.4M of Aoverset(30 min)rarr0.2Moverset(30 min)rarr0.1M ("for"A)`
`0.4M of B overset(20 min)rarr0.2 M overset(20 min)rarr 0.1 M overset(20 min)rarr0.05 M("for"B)`
`((-d[B])/(dt) "will be doubled and hence" t_(1//2) "will be halved")`
`:. ([A])/([B]) = 2`
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