Answer to Question #194019 in Mechanical Engineering for Brian

Question

A quantity of gas has an initial pressure of 140KN/m3 and volume 0.14m3. If the gas is occupied to pressure of 700 KN/m3 while the temperature remains constant. (a) sketch the p-v diagram for the process. (b) Determine the volume of the gas at the end of the process.

Answer 1

Isothermal process: $T=T_0=$ constant

$$pV = nRT _0$$

$$p(V)=\dfrac{nRT_0}{V}$$

$$140 \ \dfrac{kN}{m^2}=\dfrac{nRT_0}{0.14\ m^3}$$

$nRT_0=19.6 \ kN\cdot m$

(a)

(b)

$$700 \ \dfrac{kN}{m^2}=\dfrac{19.6 \ kN\cdot m}{V_2}$$

$$V_2=0.028\ m^3$$

The volume of the gas at the end of the process is 0.028 $m^3.$