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Thermodynamics · Entropy and the second law

A rigid tank contains 0.80 kg of argon at 350 kPa and 120 °C (393 K)

Problem

A rigid tank contains 0.80 kg of argon at 350 kPa and 120 °C (393 K). The argon is cooled at constant volume until the pressure is 200 kPa. Model argon as an ideal gas with c_v = 0.3122 kJ/kg·K, c_p = 0.5203 kJ/kg·K, and R = 0.2081 kJ/kg·K. Heat is the only energy interaction. Use ΔU = Q − W with W = 0 and ΔU = m c_v ΔT. (a) Determine the tank volume, in m³. (b) Determine the final temperature, in K. (c) Determine the heat transfer, in kJ, and state whether heat is transferred to the argon or from the argon.

Hint

Rigid tank \(\Rightarrow W=0\) and \(T\propto P\).

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