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For the reaction: X(g) rarr Y(g)+Z(g), t...

For the reaction: `X(g) rarr Y(g)+Z(g)`, the following data were obtained at `30^(@)C`:
`{:("Experiment",[X](mol L^(-1)),"Rate" (mol L^(-1) hr^(-1))),(I,0.17,0.05),(II,0.34,0.10),(III,0.68,0.20):}`
The rate constant of the above reaction is

A

`0.588 hr^(-1)`

B

`0.294 hr^(-1)`

C

`0.123 hr^(-1)`

D

`0.210 hr^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
In experiments I and II, [X] becomes double and rate is also doubled. Thus it is first, order reaction.
`r=k_(f)[X]`
`0.05mol L^(-1)hr^(-1)=k_(f)xx0.17molL^(-1)`
`:. k_(f)= 0.29hr^(-1)`
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