(a) A single acting two-slage compressor with complete intercooling delivers $5 \mathrm{~kg} / \mathrm{min}$ of air al $15 \mathrm{~kg} / \mathrm{cm}^{2}$. Assuming an intake slate of $1 \mathrm{~kg} / \mathrm{cm} \mathrm{cm}^{2}$ and $15^{\circ} \mathrm{C}$, and that the compression and expansion processes are reversible and polytropic will $n=1.3$. Calculate the power required the isothermal efficiency and the free air deliver, if the clearance ralios for the low and high pressure cylinders are 0.04 and 0.06 respectively, calculate the swept and clearance volumes for each cylinder. The speed is $420 \mathrm{rew} / \mathrm{min}$.
Explanation
The power required by the compressor can be calculated by calculating the work done by the compressor and dividing it by the time. The work done by the compressor is given by W = mRT ln(V2/V1), where m is the mass of air delivered, R is the gas constant, T is the temperature, V1 is the initial volume, and V2 is the final volume. The power required is given by P = W / t, where t is the time.
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