`n-`Butance `(C_(4)H_(10))` is produced by monobromation of `C_(2)H_(6)` followed by the Wurtz reaction. Calculate the volume of ethane at `STP` requried to produce `55 g` of n-butane. The bromination takes place with 90% yield and the Wurtz reaction with 85% yield.

Options

A. `27.75 L`
B. `55.5 L`
C. `111 L`
D. `5.55 L`

Answer

B

Explanation

`2C_(2)H_(6) + Br_(2) rarr underset(underset(underset(12 xx 4 + 10 = 58g)(C_(4)H_(10)))(darr 2Na))(2C_(2)H_(5) Br + HBr)`
`58 g` of `n`-butane `implies 2 xx 22.4 L "of" C_(2)H_(6)` at `STP`
`implies 2 xx 22.4 xx (100)/(85) xx (100)/(90)`
`58 g` of n-butane `= 58.56 L`
`55 g` of n-butane `= 55.5 L`