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 of 0.7 MPa. The two containers are united 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)

• A. 0.70
• B. 0.98
• C. 1.40
• D. 2.10

Hint:

For constant temperature, the pressure and volume of a gas are inversely proportional, as given by Boyle’s Law.

Answer 1

The Correct Option is B

Step 1: Use the combined gas law.
Since the temperature remains constant, we apply Boyle's Law for each gas: \[ P_1 V_1 = P_2 V_2 \] Using the given pressures and volumes for each container, we find the total pressure after the gases mix.
Step 2: Calculate the final pressure.
The final pressure is found to be 0.98 MPa. Final Answer: \[ \boxed{0.98 \, \text{MPa}} \]