In a thermally isolated system, two boxes filled with an ideal gas are connected by a valve. When the valve is in closed position, states of the box 1 and 2 , respectively, are (1 atm, V, T) and (0.5 atm, 4 ~V , ~T ). When the valve is opened, the final pressure of the system is approximately

Step-by-step solution

After opening of at equilibrium temperature and pressure of whole gas is T ₁ and P ₁ array l n₁= 1 V R T , n₂= 0.5 V 4 R T n₁+n₂=n V R T + V 4 2 R T = 5 V P₁ R T₁ 3 V R T = 5 V P₁ R T₁ P₁ T₁ = 0.6 T Q=0, W=0 U=0 n₁ C_ V T+n₂ C_ V T= (n₁+n₂ ) C_ V T₁ T₁=T P₁ T = 0.6 T P₁=0.6 atm array