A cylinder containing \( 2\text{ mol} \) of an ideal gas at \( 27^\circ\text{C} \) is compressed by moving a piston inward. If the process is carried out at constant pressure of \( 2\text{ atm} \) and the temperature rises to \( 127^\circ\text{C} \), the work done during this process is: (Take \( R = 8.314\text{ J}\cdot\text{K}^{-1}\cdot\text{mol}^{-1} \))

Correct answer · Option 2

\( -1662.8\text{ J} \)

At constant pressure, \( w = -p\Delta V = -nR\Delta T = -2 \times 8.314 \times (400 - 300) = -1662.8\text{ J} \).