Nitrogen gas at (25^{circ} mathrm{C}) and (1 mathrm{~atm}), with (C_{p}=7 mathrm{cal} / mathrm{mol}-mathrm{K}), is cooled to (-100^{circ}

Question:

Nitrogen gas at $25^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$, with $C_{p}=7 \mathrm{cal} / \mathrm{mol}-\mathrm{K}$, is cooled to $-100^{\circ} \mathrm{C}$ at $1 \mathrm{~atm}$. Assuming an ideal gas, calculate the minimum work per mole required for cooling. What is the maximum work per mole that can be obtained when the gas is returned to $25^{\circ} \mathrm{C}$ and $1 \mathrm{~atm}$ ?

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