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Internal Energy

In an air com...

Question

In an air compressor for the suction and delivery pressure of 1 bar and 30 bar and flow rate of $4 m^{3} / m i n$ , the minimum work required to run compressor is _____ kW. (Correct to one decimal place}
22.67

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Solution

The correct option is A 22.67
Work required to run to compressor is minimum if the compression process is isothermal

$∴ W_{m i n} = P V ln \frac{P_{d}}{P_{s}}$

$= 1 \times 10^{5} \times \frac{4}{60} ln (\frac{30}{1}) = 22674.6 W = 22.6746 k W$

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