An ideal gas undergoes isothermal compression from `5 m^(3)` to `1 m^(3)` against a constant external pressure of `4Nm^(-2)`. Heat released in this process is used to increase the temperature of 1 mole of Al. If molar heat capacity of Al is 24 J `mol^(-1)K^(-1)`, the temperature of Al increases by

Options

A. `3/2 k`
B. `2/3 k`
C. 1k
D. 2k

Answer

B

Explanation

`W = - P(DeltaV = - 4[1-5] = 16 J`
`16 = 1 xx 24 xx DeltaT`
`DeltaT = 2/3K`.