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The reaction SO(2)Cl(2) overset(k(1))rar...

The reaction `SO_(2)Cl_(2) overset(k_(1))rarr SO_(2)+Cl_(2)` is a first order reaction with `k_(1) = 2.2 xx 10^(-5) s^(-1)` at `575 K`. What percentage of `SO_(2)Cl_(2)` will get decomposed in `90 min` when the reaction is carried out at `575 K`.

A

`1.118`

B

`0.1118`

C

`18.11`

D

`11.30`

Text Solution

Verified by Experts

The correct Answer is:
D

`k=(2.303)/(t)log.(a)/((a-x))implieslog.(a)/((a-x))=(k.t)/(2.303)`
`implieslog.(a)/(a-x)=(2.2xx10^(-5)xx60xx60)/(2.303)=0.0516`
Hence, `(a)/((a-x))=1.127implies(a-x)/(a)=0.887`
`implies1-(x)/(a)=0.887implies(x)/(a)=0.113=11.3%`
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