Question

The pressure-volume work for an ideal gas can be calculated by using the expression $W=-{\int }_{v_i}^{v_f}{P}_{ex}dV$ The work can also be calculated from $PV$ - plot by using the area under 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

• A. $W$ (reversible) = W (irreversible) + $P_{ex}\Delta V$
• B. $W$ (reversible) = W(irreversible) $-p_{ex}.\Delta V$
• C. $W$ (reversible) = $W$ (irreversible)
• D. $W$ (reversible) $<W$ (irreversible)

Answer 1

Answer: (D)

$w_{\text{rev}}<w_{\text{irr}}$
Area under the curve is more in irreversible compression