Practicing Success
Two gases occupy two containers A and B; the gas in A, of volume 0.10 m3, exerts a pressure of 1.40 MPa and that in B, of volume 0.15 m3, exerts a pressure 0.7 MPa. The two containers are joined by a tube of negligible volume and the gases are allowed to intermingle. then if the temperature remains constant, the final pressure in the container will be (in MPa) : |
0.70 0.98 1.40 2.10 |
0.98 |
As the quantity of gas remains constant : \(\mu_A = \mu_B = \mu\) \(\frac{P_A V_A}{RT} + \frac{P_B V_B}{RT} = \frac{P(V_A + V_B)}{RT}\) \(P = \frac{P_A V_A + P_B V_B}{V_A + V_B} = \frac{1.4*0.1+0.7*0.15}{0.1 + 0.15}\) \(\Rightarrow P = \) 0.98 MPa |