Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Kinetic Theory

Question:

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) : 

Options:

0.70

0.98

1.40

2.10

Correct Answer:

0.98

Explanation:

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