Question

A diatomic gas is filled inside a conducting cylinder. Now we push the piston slowly to make volume of gas half of initial. Pick correct statements

• A. Pressure of gas Increases because there is more average change in linear momentum of molecule in each collision
• B. Pressure force on side wall of container increased
• C. Pressure force on piston is increased
• D. More molecules collide with piston per unit time

Answer 1

Answer: (B), (C), (D)

The correct options are
B More molecules collide with piston per unit time
C Pressure force on side wall of container increased
D Pressure force on piston is increased

We see that all the heat produced to the decrease in the volume is conducted to the cylinder. Thus the temperature remains constant. No change in temperature of gas, hence change in linear momentum of molecule in each collision remains constant. Thus A is incorrect.
Using the relation PV=nRT, we see that pressure is increases due to decrease in volume and thus pressure force on the walls and the piston increases.
Thus option B and C are correct.
Also as the effective area for the collision of the molecules is decreasing more molecules will collide with the piston per unit time.
Thus option D is correct.