1.

For the reaction A+ B rightarrowproduct , the folowing initial rates were obtained at various given initial concentrations: Determine the half - life period.

Answer»

SOLUTION : Rate = `k[A]^(x)[0.1]^y`
`0.10=k[0.2]^(x)[0.1]^y`
`0.05= K[0.1]6(x)[0.2]^(y)`
Dividing equation (II) by (i) WEE get
`(0.10)/(0.05)=2^(x)` or `2=2^(2x)` or x=1
Dividing equation (ii) by (i) , we get
`(0.10)/(90.05) = 2^(x)` ir `2=2^(x)` or x=1
Dividing equation (iii) by (i) , we get `(0.05)/(0.05)= 2^(y)` or `1=2^(y)` or y=0
`THEREFORE` Rate =` K [A]^(1)[B]^(0)` ,
It is a forst order reaction .
HALF - life period
Substituting the values in equation (i) we get "
0.05=k[0.1]or `k=(0.05)/(0.1)=0.5s^(-1)`
`t_(1//2)= (0.693)/(k) = (0.693)/(0.5)` or `t_(1//2)=1.386s`


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