Question

4) 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 + a)(v - b) = nRT
where a, b, and R are constants. Obtain an expression for the displacement work done by
the system during a constant-temperature expansion from volume V, to volume Vs.
Calculate the work done by a system which contains 10 kg of this gas expanding from
to 10 m at a temperature of 293 K.
Use the values a=15.7*10 Nm", b=1.07*10m, and R=0.278 kJ/kg-K.​

Answer 1

Answer:

1742kJ

Explanation:

As it is constant temp-expansion then

[p +$\frac{a}{v^{2} }$)(v-b)=constant ( mRT ) ( k ) as T = constant