Question

n moles of CO2 gas (T1, V1) obey a van der Waals equation of state are contained in an insulated piston-cylinder arrangement. A reversible expansion of the gas is carried out until the volume become 2V1.

[CV.m=28.80 J mol−1K−1,a=3.610 atm.dm6.mol−2,b=4.29 x 10−2 dm3.mol−1]

(a) Find the final temperature of gas as a function of n, 𝐂𝐕.𝐦 , T1, V1 and the van der Waals parameter a and b.

(b) If two moles of CO2 gas involved and T1 = 350K, V1 = 40L, compute final temperature of the gas.

(c) Find work done and internal energy of the gas.

Answer 1

a)Temperature of gas =49.3°C

b)Final Temperature =34.9°C

c)Work Done =267kW

Internal Energy =-471kJ