Question

1. A system of volume V contains a mass m of gas at pressure p and temperature T. The macroscopic properties of the system obey the following relationship
(p +av2) (v-b) = mRT
Where a, b and R constants
Obtain an expression for the displacement work done by the system during a constant temperature expansion from volume V1 to volume V2. Calculate the work done by a system which contains 10 kg of this gas expanding from 1 m3 to 10 m3 at a temperature of 293 K. Use the values a = 15.7 × 104 Nm4, b = 1.07×10-2 m3, and R = 0.278 kJ/kgK. (Ans: 1742 kJ) ​

Answer 1

Answer:

Ans: 1742 kJ ​

Explanation:

p +av2) (v-b) = mRT

Where a, b and R constants

Use the values

a = 15.7 × 104 Nm4

b = 1.07×10-2 m3,

and R = 0.278 kJ/kgK.

Ans: 1742 kJ ​