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A reaction is said to be first order if ...

A reaction is said to be first order if it's rate is proportional to the concentration of reactant Let us consider a reaction
`A(g) rarr B(g) + c(g)`
At `t=0 a 0 0`
At time t `a-x x x`
The rate of reaction is given by the expression `(dx)/(dt)=k(a-x)` and integrated rate equation for a given reaction is represted as `k=1/t l n(a/(a-x))` where a=initial concentration and (a-x) = concentration of A after time t.
Thermal decomposition of compound X is a first order reaction If 75% of X is decompossed in 100 min, how long will it take for 90% of the compound to decompose? [Given :`log 2=0.30]`

A

190 min

B

`176.66` min

C

`166.66` min

D

`156.66` min

Text Solution

Verified by Experts

The correct Answer is:
C
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