The equation of work (with clearance volume) for a reciprocating compressor is given by the equation _______

where Polytropic law PVn = C

Ua = Effective swept volume

P1 = Suction Pressure

P2 = Final Compressor Pressure

1
\(W = \frac{n}{{n - 1}}\frac{{{P_1}}}{{{U_a}}}\left\{ {{{\left( {\frac{{{P_2}}}{{{P_1}}}} \right)}^{\frac{{n - 1}}{n}}} - 1} \right\}\;\)
2
\(W = \frac{{n - 1}}{n}{P_1}{U_a}\left\{ {{{\left( {\frac{{{P_2}}}{{{P_1}}}} \right)}^{\frac{{n - 1}}{n}}} - 1} \right\}\)
3
\(W = \frac{n}{{n - 1}}{P_1}{U_a}\left\{ {{{\left( {\frac{{{P_2}}}{{{P_1}}}} \right)}^{\frac{{n - 1}}{n}}} - 1} \right\}\)
4
\(W = \frac{n}{{n - 1}}{P_1}{U_a}\left\{ {{{\left( {\frac{{{P_1}}}{{{P_2}}}} \right)}^{\frac{{n - 1}}{n}}} - 1} \right\}\)

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