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In a reaction between A and B, the initi...

In a reaction between A and B, the initial rate of reaction was measured for different initial concentration of A and B as given below:
`{:(A//M,0.20,,0.20,0.40),(B//M,0.30,,0.10,0.05),(r_(0)//M s^(-1),5.07xx10^(-5),,5.07xx10^(-5),7.6xx10^(-5)):}`

Text Solution

Verified by Experts

`r_(0)=[A]^(alpha)[B]^(beta)`
`(r_(0))_(1)=5.07xx10^(-5)=(0.20)^(alpha)(0.30)^(beta)" "...(i)`
`(r_(0))_(2)=5.07xx10^(-5)=(0.20)^(alpha)(0.10)^(beta)" "...(ii)`
`(r_(0))_(3)=7.16xx10^(-5)=(0.40)^(alpha)(0.05)^(beta)" "...(iii)`
`((r_(0))_(1))/((r_(0))_(2))=1=((0.30)/(0.10))^(beta)=(3)^(beta):.beta=0`
`((r_(0))_(3))/((r_(0))_(2))=(7.16)/(5.07)=((0.40)/(0.20))^(alpha)((0.05)/(0.10))^(beta)" or "1.412=2^(alpha)((1)/(2))^(beta)=2^(alpha)( :.beta=0)`
`log1.412=alphalog2" or "alpha=0.1523//0.3010=0.5.`
`("or directly "1.412=sqrt(2)=2^(1//2):.2^(alpha)=2^(1//2)" or "alpha=1//2)`
Thus, order w.r.t. A = 0.5, order w.r.t. B = 0
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