Question

Two samples A and B, of a gas at the same initial temperature and pressure are compressed from volume V to V/2; A isothermally and B adiabatically. The final pressure of A will be ______.

Options

• greater than that of B.

• equal to that of B.

• less than that of B.

• twice that of B.

Answer 1

Two samples A and B, of a gas at the same initial temperature and pressure are compressed from volume V to V/2; A isothermally and B adiabatically. The final pressure of A will be less than that of B.

Explanation:

In case of A; P₂ = `("P"_1 "V"_1)/"V"_2`

=` "P"_1×2`

In case of B, `"P"_2′  = "P"_1("V"_1/"V"_2) = "P"_1×2^gamma`

Clearly, ` "P"_2 < "P"_2'  [∵ gamma> 1]`