Question

A single acting two stage compressor with complete inter cooling delivers air at $16$ bar. Assuming an intake state of $1$ bar at ${15}^{o}C$, the presssure ratio per stage is

• A. $16$
• B. $8$
• C. $4$
• D. $2$

Answer 1

The correct option is C $4$

Given:
Intake pressure,
$P-1=1$ bar
Deliver pressure
$P_{N+n}=16$ baar
As, we know
$P_{N+1}=k^N{P}_1$
where, $N=$no of stage
$K=\frac{P_2}{P_1}$
$=$ pressure ratio across a stage
$\therefore 16=K^2\left(1\right)$
Pressure ratio across a stage,
$K=\sqrt{\frac{16}{1}}=4$