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For a first order reaction A((g))hArr3B(...

For a first order reaction `A_((g))hArr3B_((g))` the concentration verses time graph is given below:

What is the half life in minutes (answer to nearest intetger)?

Text Solution

Verified by Experts

The correct Answer is:
5
`AhArr3B`
`A_(0)" "0`
`(A_(0)-x)" "3x`
`((3A_(0))/4)" "(3A_(0))/4`
Here `A_(0)//4,Kxxt=2.303log((C_(0))/(C_(1))),Kxx2=2.303xxlot((A_(0))/(3A_(0)//4))`
`K=2.303/2xxlog(4/3)=2.303/2xx(log4-log3)=2.303/2xx0.1249`
`(t_(1/2))=0.693/K=0.693/(((2.303xx0.1249)/2)),t_(1/2)=((0.3010xx2)/0.1249)=4.8198.t_(1/2)~=5`
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