compression processes between the same pressure limits is shown below. (1 Indicate what each process in the diagram (2) Use hatch lines to indicate the compressor work of the isentropic process. P2 P1 V
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It starts at point P1 and ends at point P2. It is represented by a straight line on the diagram. - Process 2: This is not specified in the question, so we cannot determine what it represents without further information. Show more…
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Adi S.
For a two-stage reciprocating compressor, compression from pressure $p_{1}$ to $p_{3}$ is with perfect intercooling and no pressure losses. If compression in both cylinders follows the same polytropic process and the atmospheric pressure is $p_{a}$ then the intermediate pressure $p_{2}$ is given by (a) $p_{2}=\left(p_{1}+p_{3}\right) / 2$ (b) $p_{2}=\sqrt{p_{1} p_{3}}$ (c) $p_{2}=p_{a} \frac{p_{3}}{p_{1}}$ (d) $p_{2}=p_{a} \sqrt{\frac{p_{3}}{p_{1}}}$
In large gas-compression stations (for example, on a natural gas pipeline), the compression is done in several stages as in Fig. $\mathrm{P} 7-252 .$ At the end of each stage, the compressed gas is cooled at constant pressure back to the temperature at the inlet of the compressor. Consider a compression station that is to compress a gas (say methane) from $P_{1}$ to $P_{2}$ in $N$ stages, where each stage has an isentropic compressor coupled to a reversible, isobaric cooling unit. Determine the $N-1$ intermediate pressures at the outlet of each stage of compression that minimize the total work required. How does this work compare to the work needed to do the entire compression with one isentropic compressor?
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