1.

A zeo order reaction X rarrProduct, with an initial concentration 0.02 M has a half life of 10 min . If one starts with concentration 0.04 M , then the half life is ....

Answer»

10 s
5 min
20 min
cannot be predicted using the given information

Solution :for `n ne1 ""t_(1//2)=(2^(n-1)-1)/((n-1)k[A_0]^(n-1))`
for n = 0 `t_(1//2)=1/(2k[A_0]^(-1))`
`t_(1//2)=([A_0])/(2k)`
`t_(1//2)=prop[A_0]""....(1) `
Given
`[A_0]=0.02M , t_(1//2)=10 min `
`[A_0]=0.04 M , t_(1//2)`= ?
Substitute in (1)
` 10 min prop 0.02 M ""...(2)`
`t_(1//2) prop 0.4 M ""...(3)`
Dividing Eq. (3) by Eq . (2) we get ,
`implies (t^(1//2))/(10 min )=(0.04M)/(0.02M)`
`t_(1//2)=2xx10 ` min = 20 min .


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