The internal energy of 2 kg of air is reduced by 50 kJ during a cooling process. Initially, the air has a temperature of 40°C. Assuming ideal gas behavior and constant specific heats, determine the final temperature of the air.
Given: m = 2 kg; ?U = -50 kJ; T1 = 40°C
What will be an ideal response?
For air, cv = 0.718 kJ/kg-K at 300 K.
For an ideal gas with constant specific heats: ?U = m cv (T2 – T1)
So, T2 = ?U/mcv + T1 = 5.18°C
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