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Thermal decomposition of a compound is o...

Thermal decomposition of a compound is of first order. If 50% of the compound is decomposed in 120 minute, how much time it take for the 90% decomposition of the compound ?

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`K = (2.303)/(t) log.(a)/(a-x)`
`K = (0.693)/(t_(½))`
`K = (0.693)/(120) = 5.775 xx 10^(-3) min^(-1)`
`t = (2.303)/(5.775 xx 10^(-3)) log.(100)/(10)`
`t = 398.78 min` or `t = 23,9625`
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