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The following data are obtained for a re...

The following data are obtained for a reaction, `X+Yrarr"Products"`.
`{:("Expt. ",[X_(0)]//"mol ",[Y_(0)]//"mol ","rate/mol L"^(-1)s^(-1)),(1,0.25,0.25,1.0xx10^(-6)),(2,0.50,0.25,4.0xx10^(-6)),(3,0.25,0.50,8.0xx10^(-6)):}`
The overall of the reaction is

A

2

B

4

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
`r=K[X]^(x)[Y]^(y)`
Total order n = x + y
By exp. (1) & (2)
`(r_(1))/(r_(2))=(K[.25]^(x)[.25]^(y))/(K[.50]^(x)[.25]^(y))=(1.0xx10^(-6))/(4.0xx10^(-6))`
`(1)/((2)^(x))=(1)/(4),x=2`
By exp. (1) & (3)
`(r_(1))/(r_(2))=(K[.25]^(x)[.25]^(y))/(K[.25]^(x)[.50]^(y))=(1xx10^(-6))/(8xx10^(-6))`
`(1)/((2)^(4))=(1)/(8),y=3`
So Total order `=2+3=5`
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