GATE ME 2021 Set 1 — Question 33
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Thermodynamics → Laws & Properties → Zeroth & First Laws
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Question
A rigid insulated tank is initially evacuated. It is connected through a valve to a supply line that carries air at a constant pressure and temperature of kPa and K respectively. Now the valve is opened and air is allowed to flow into the tank until the pressure inside the tank reaches to kPa at which point the valve is closed. Assume that the air behaves as a perfect gas with constant properties ( kJ/kg.K, kJ/kg.K, kJ/kg.K). Final temperature of the air inside the tank is ________ K (round off to one decimal place).
Correct answer
555 to 565
Solution
This is an unsteady flow process involving the charging of an evacuated tank. From the energy balance for a control volume (the tank), neglecting kinetic and potential energy changes:Since the tank is initially evacuated, . Thus, . By mass balance, , so .
For a perfect gas:.
For a perfect gas:.
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