GATE ME 2025 Set 1 — Question 54

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NAT+2 / -0MediumIdeal & Real Gas BehaviourLaws & PropertiesThermodynamicsZeroth & First LawsWork & Heat in Processes

Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour

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Question

A thermodynamically closed system contains 1 kg1 \text{ kg} of hydrogen. The system undergoes a reversible polytropic process with polytropic index 1.31.3. The work output during the process is 400 kJ400 \text{ kJ}. During the process, hydrogen behaves as an ideal gas with constant specific heats. The absolute value of heat transfer during the process is ____________ kJ\text{kJ} (rounded off to 1 decimal place).
Specific heat of hydrogen at constant pressure =14.56 kJ kg1 K1= 14.56 \text{ kJ kg}^{-1} \text{ K}^{-1}
Specific heat of hydrogen at constant volume =10.4 kJ kg1 K1= 10.4 \text{ kJ kg}^{-1} \text{ K}^{-1}
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