Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K. Keeping the temperature of one vessel constant at 400 K the second vessel temperature is raised to 500 K. The final pressure in the vessels is _______ kPa.

Step-by-step solution

Let the volume of each vessel be V . Initially, both vessels are at pressure P₁ = 90 kPa and temperature T₁ = 400 K. Total number of moles initially is given by: n_i = P₁ V R T₁ + P₁ V R T₁ = 2 P₁ V R T₁ Finally, the temperature of the first vessel is T₁ = 400 K and the second vessel is T₂ = 500 K. Let the final pressure be P_f . Total number of moles finally is given by: n_f = P_f V R T₁ + P_f V R T₂ Since the total number of moles remains constant, n_i = n_f : 2 P₁ V R T₁ = P_f V R T₁ + P_f V R T₂ Substituting th