Answer to Question #187870 in Physical Chemistry for Faiz Najmi

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 =53.6°C

b)Final Temperature =42.6°C

c)Work Done =280kW

Internal Energy =-479kJ