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An air compressor takes air in at the state of the surroundings, $100 \mathrm{kPa}, 300 \mathrm{K}$. The air exits at 400 $\mathrm{kPa}, 200^{\circ} \mathrm{C},$ at the rate of $2 \mathrm{kg} / \mathrm{s}$. Determine the minimum compressor work input.

$\dot{W}_{c}=312.74 \mathrm{kW}$

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