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InterviewSolution
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Conisder a reaction `X + Y rarr` Products. If the initial concentration of `X` increased to four times of its original value, keeping the concentration of `Y` constant, the rate of reaction increases four-fold. When the concentration of both `X` and `Y` becomes four times their original values the rate of reaction becomes `16` times its original values. The observed rate law isA. `k[X]^(2)[Y]^(2)`B. `k[X]^(1)[Y]^(2)`C. `k[X]^(1)[Y]^(1)`D. `k[X]^(2)[Y]^(1)` |
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Answer» Correct Answer - C `r_(1) = k[X]^(m)[Y]^(n)` …(i) `r_(2) = 4r_(1) = k[4X]^(m)[Y]^(n)` …(ii) `r_(3) = 16r_(1) = k[4X]^(m)[4Y]^(n)` …(iii) Divide Eq. (ii) by Eq. (i), `4 = (4)^(m) rArr (4)^(1) = (4)^(m) rArr m = 1` Divide Eq. (iii) by (ii), `4 = (4)^(n) rArr (4)^(1) = (4)^(n) rArr n = 1` The observed rate law `= k[X]^(1)[Y]^(1)` |
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