The pressure volume work for an ideal gas can be calculated by using the expression `w=-int_(V_(i))^(v_(f))Pex dV`. The work can also be calculated from the pV-plot by using the area under the curve within the specified limits. When an ideal gas is compressed (a) reversibly or (B) irreversibly from volume `V_(i)` to `V_(f)` choose the correct option.

Options

A. W (reversible) = W (irreversible)
B. W (reversible) `lt` W (irreversible)
C. W (reversible) `=` W (irreversible)
D. W (reversible) `=` W (irreversible) `+ p_(ex) . Delta V`

Answer

B

Explanation

The correct option is W (reversible) `lt W` (irreversible). This is because area under curve is always more in irreversible compression as can be seen from given figure