If p1 is the pressure of air entering the L.P. cylinder and p3 is the pressure of air leaving the H.P. cylinder, then the ratio of cylinder diameters for a single acting, two stage reciprocating compressor with complete intercooling is given by
A. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {\left( {{{\text{p}}_1}{{\text{p}}_3}} \right)^{\frac{1}{2}}}$$
B. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {\left( {\frac{{{{\text{p}}_1}}}{{{{\text{p}}_3}}}} \right)^{\frac{1}{4}}}$$
C. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {\left( {{{\text{p}}_1}{{\text{p}}_3}} \right)^{\frac{1}{4}}}$$
D. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {\left( {\frac{{{{\text{p}}_3}}}{{{{\text{p}}_1}}}} \right)^{\frac{1}{4}}}$$
Answer: Option D
Solution (By Examveda Team)
If p1 is the pressure of air entering the L.P. cylinder and p3 is the pressure of air leaving the H.P. cylinder, then the ratio of cylinder diameters for a single acting, two stage reciprocating compressor with complete intercooling is given by $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {\left( {\frac{{{{\text{p}}_3}}}{{{{\text{p}}_1}}}} \right)^{\frac{1}{4}}}$$This Question Belongs to Mechanical Engineering >> Compressors, Gas Turbines And Jet Engines
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