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) gt w (irreversible)
D. w(reversible)=w (irreversible) `+p_(ex).Delta V`

Answer

B

Explanation

w (reversible) `lt` w(irreversible)
Area under the curve is greater in irreversible compression than that of reversible compression