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n-Butane (C(4)H(10)) is produced by mono...

n-Butane (`C_(4)H_(10)`) is produced by monobromination of `C_(2)H_(5)` followed by Wurtz reaction. Calculate the volume of ethane al S.T.P. required to produce 55gin of n-butane. The bromination takes place with 90% yield and the Wurtz reaction with 85% yield

A

27.75 litres

B

55.5 litres

C

111 litres

D

5.55 litres

Text Solution

Verified by Experts

The correct Answer is:
B
`2C_(2)H_(6)+2Br_(2) to 2C_(2)H_(5)Br+2HBr` (Bromination) …............(1)
`2C_(2)H_(5)Br+2Na to C_(4)H_(10)+2NaBr` (wurtz reaction) …............(2)
Wurtz reaction with 85% yeild
As per equation …...(2)
2 moles of `C_(2)H_(5)Br …................ 58g "of" C_(4)H_(10) , "x moles" xx (85)/(100) ........ 55 g "of" C_(4)H_(10)`
`implies (2 xx 55)/(85 xx 58) xx 100=2.23` moles of `C_(2)H_(5)Br`
As per equation .........(1) (Bromination with 90%)
`2 xx 22.4` litres of `C_(2)H_(6)` ......... 2 moles of `C_(2)H_(5)Br`
`x xx (90)/(100)` litres of `C_(2)H_(6)` ....... 2.23 moles of `C_(2)H_(5)Br implies (2 xx 22.4 xx 2.23 xx 100)/(2 xx 90)=55.5` litres
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