A partially evacuated vertical cylindrical container is covered by a circular li

Question

A partially evacuated vertical cylindrical container is covered by a circular lid that makes an airtight seal. The pressure in the room surrounding the container is 1.01 times 10^5 N/m^2, and the pressure inside the container is 0.41 times 10^5 N/m^2. The lid has radius 0.20 m and weight 200 N. The minimum upward applied force required to lift the lid is most nearly 7.5 times 10^3 N 7.7 times 10^3 N 1.3 times 10^4 N 1.8 times 10^4 N A sealed container of air has been sitting on a table in a dark room for a very long time. The room is always kept at a constant temperature. Which of the following best describes what will happen to the speeds and the average kinetic energy of the molecules of the air in the container as the container continues to sit on the table? Each molecule will continue to move at constant speed, keeping the average kinetic energy of the molecules constant. Some molecules will speed up and others will slow down, keeping the average kinetic energy of the molecules constant. The molecules will gradually slow down, decreasing their average kinetic energy. The molecules will gradually speedup, increasing their average kinetic energy.

Explanation / Answer

29) Net force acting on the lid = Force due to pressure + force due to weight

Fnet = P*A + W

Fnet = (1.01-0.41)*10^5*3.14*0.20^2 + 200

Fnet = 7736 N = 7.7*10^3 N

30)

B) Some molecules will speed up and other will slow down, keeping the average kinetic energy of the molecule constant.

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