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Ethylene is produced by, underset("Cyc...

Ethylene is produced by,
`underset("Cyclobutane")(C_(4)H_(8))overset(Delta)(rarr) 2C_(2)H_(4)`
The rate constant is `2.48xx10^(-4) sec^(-1)`. In what time will the molar ratio of the ethylene to cyclobutane in reaction mixture attain the value `1` ?

A

`27.25` minute

B

`28.25` minute

C

`25` minute

D

`20` minute

Text Solution

Verified by Experts

The correct Answer is:
a
`{:(,C_(4)H_(8),overset(Delta)(rarr),2C_(2)H_(4)),("Moles at t=0",a,,0),("Moles at t=t",(a-x),,2x):}`
When `(2x)/(a-x)=1`, then `x=a/3`
`:. t=2.303/K"log"a/(a-x)`
`=2.303/(2.48xx10^(-4))"log"a/(a-a/3)`
`=1635.2 sec=27.25 minute`
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