Question

A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as state 1 and state 2 respectively. Potential and kinetic energy changes are to be ignored. The following notations are used: v= specific volume and P = pressure of the gas. The specific work required to be supplied to the compressor for this gas compression process is

• A. ${\int }_1^{2}Pdv$
• B. ${\int }_1^{2}vdP$
• C. $v_1(P_2-P_1)$
• D. $-P_2(V_1-V_2)$

Answer 1

The correct option is B ${\int }_1^{2}vdP$

Reversible steady flow process.

State 1: Inlet
State 2: Oulet
Potential and kinetic energy change are to be ignored.
v = Specific volume of the gas
P = Pressure of the gas
Specific work required to be supplied to the compressor for this gas compression process is
$w={\int }_1^{2}vdp$ (Open system flow in compressor)