Answer to Question #213397 in Molecular Physics | Thermodynamics for Yomna

Question

Nitrogen is throttled at a rate of 0.9 kg/s from a pressure of 10 bar to 1.5 bar. 

Outlet diameter is 10 cm. If outlet temperature was 37oC, calculate velocity at 

outlet and deduce temperature at inlet. Find work and heat exchanged per 

second during this process.

Answer 1

Gives

$$\frac{dm}{dt}=0.9kg/sec,P_2=10bar,P_2=1.5bar,r=5cm,T_1=37°c$$

We know that

$\frac{dQ}{dt}=Av$

$v=\frac{\frac{dQ}{dt}}{A}$

Put value

$$A=\pi r^2=3.14\times0.05^2=7.85\times10^{-3}m^2$$

$v=\frac{0.9}{7.85\times10^{-3}}=114.64m/sec$