# GATE Mechanical 2022 Set 2 | Question: 50

A rigid tank of volume of $8 \:m^{3}$ is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacuated. The air pressure and temperature inside the pipeline are maintained at $600$ $\text{kPa}$ and $306\:K$, respectively. The filling of the tank begins by opening the valve and the process ends when the tank pressure is equal to the pipeline pressure. During the filling process, heat loss to the surrounding is $1000$ $\text{kJ}$. The specific heats of air at constant pressure and at constant volume are $1.005$ $\text{kJ/kg.K}$ and $0.718$ $\text{kJ/kg.K}$, respectively. Neglect changes in kinetic energy and potential energy.

The final temperature of the tank after the completion of the filling process is _______________ $K$ (round off to the nearest integer).

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