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If p1, is the pressure of air entering the L.P. cylinder and p2 is the pressure of air leaving the L.P. cylinder (or inter-cooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by (where D1 = Diameter of L.P. cylinder and D2 = Diameter of H.P. cylinder)

A. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = {{\text{p}}_1}{{\text{p}}_2}$$

B. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = \frac{{{{\text{p}}_1}}}{{{{\text{p}}_2}}}$$

C. $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = \frac{{{{\text{p}}_2}}}{{{{\text{p}}_1}}}$$

D. None of these

Answer: Option C

Solution(By Examveda Team)

If p1, is the pressure of air entering the L.P. cylinder and p2 is the pressure of air leaving the L.P. cylinder (or inter-cooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by $$\frac{{{{\text{D}}_1}}}{{{{\text{D}}_2}}} = \frac{{{{\text{p}}_2}}}{{{{\text{p}}_1}}}$$
Where,
D1 = Diameter of L.P. cylinder,
D2 = Diameter of H.P. cylinder

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