Question

A mole of a monoatomic ideal gas at 1 atm and 273 K is allowed to expand adiabatically against a constant pressure of 0.395 bar until equilibrium is reached. 

(a) What is the final temperature? 

(b) What is the final volume? 

(c) How much Work is done by the gas? 

(d) What is the change in internal energy?

Answer 1

Let the initial and final volumes of the gas be V₁ and V₂ m³ respectively. Given that the initial pressure (P₁) 1 x 10⁵ Pa, final temperature be T₂

We have p₁ V₁ = n₁RT₁

Solving eqns. (i) and (ii), we get

(a) The final temperature, T₂ = 207 K

(b) The final volume V₂ = 0.043578 m³