The thermal decomposition of a compound is of first order. If `50%` of a sample of the compound is decomposed in 120 minutes, how long it take for `90%` of the compounds to decompose.

The thermal decomposition of a compound is of first order. If `50%` of

1.	The thermal decomposition of a compound is of first order. If `50%` of a sample of the compound is decomposed in 120 minutes, how long it take for `90%` of the compounds to decompose.
Answer» Step I: Calculation of rate constant: (k) `k=(0.693)/t_(1//2)=0.693/(120 "min")` Step II: Calculation of time for 90 percent decomposition `a=100%, (a-x)= 10%, k=0.693//120 min^(-1)` `t=(2.303)/(k) log a/(a-x) = (2.303)/(0.693/120 min^(-1)) log 100/10` `=(2.303 xx 120)/(0.693) = 389.79 min`.

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The thermal decomposition of a compound is of first order. If `50%` of a sample of the compound is decomposed in 120 minutes, how long it take for `90%` of the compounds to decompose.

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