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A first order reaction is `20%` complete in `10 min`. Calculate (a) the specific rate constant of the reaction and (b) the time taken for the reaction to reach `75%` completion. |
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Answer» Correct Answer - (a) `k = 0.0223 min^(-1)` (b) `62.16 min` (a) `k = (2.303)/(t) log.(a)/(a-x)` For `20%` completion, `k = (2.303)/(10)log.(100)/(80) = 0.0223 min^(-1)` (b) Half life `= (0.693)/(k) = (0.693)/(0.0023) = 31.08 min` For `75%` completion of the reaction, two half life lives are required, which is equal to `31.08 xx 2 = 62.16 min`.Correct Answer - (a) `k = 0.0223 min^(-1)` (b) `62.16 min` (a) `k = (2.303)/(t) log.(a)/(a-x)` For `20%` completion, `k = (2.303)/(10)log.(100)/(80) = 0.0223 min^(-1)` (b) Half life `= (0.693)/(k) = (0.693)/(0.0023) = 31.08 min` For `75%` completion of the reaction, two half life lives are required, which is equal to `31.08 xx 2 = 62.16 min`. |
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