Question

A reciprocating compressor has a pressure ratio of 9. The clearance volume of the compressor is 8 percent of total volume. If compression and expansion takes place with index of 1.31 and 1.35 respectively, the volumetric efficiency is equal to

• A. 62.16%
• B. 64.42%
• C. 67.42%
• D. 65.19%

Answer 1

The correct option is B 64.42%

$\frac{V_c}{V_s+V_c}=0.08V_c=0.08V_s+0.08V_{c}C=\frac{V_c}{V_s}=\frac{0.08}{0.92}=0.087{\eta }_v=1+c-c{\left(\frac{p_2}{p_1}\right)}^{1/n_c}=1+0.087-0.087(9{)}^{1/1.35}$
${\eta }_v$ = 64.42%