Question:medium
One kg of air, initially at a temperature of $127\text{ }^{\circ}\text{C}$ expands reversibly at a constant pressure until the volume is doubled. If the gas constant of air is $287\text{ J/kg K}$, the magnitude of work transfer is _______ kJ.
One kg of air, initially at a temperature of $127\text{ }^{\circ}\text{C}$ expands reversibly at a constant pressure until the volume is doubled. If the gas constant of air is $287\text{ J/kg K}$, the magnitude of work transfer is _______ kJ.
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For any ideal gas isobaric expansion where volume is doubled, the temperature also doubles in Kelvin.
Thus, the temperature change ($\Delta T$) is exactly equal to the initial absolute temperature $T_1$, simplifying the work formula to $W = m R T_1$.
Thus, the temperature change ($\Delta T$) is exactly equal to the initial absolute temperature $T_1$, simplifying the work formula to $W = m R T_1$.
Updated On: Jul 9, 2026
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The Correct Option is D
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