A cylinder with a valve at the bottom is filled with an ideal gas. The valve is now opened and some of the gas escapes slowly. The valve is then closed, after which the piston is observed to be at a lower position. Assume that the system is in thermal equilibrium with the surroundings at all times.

a) Is the final pressure of the gas in the cylinder greater than, less than, or equal to the initial pressure? Explain.

Explain how your answer is consistent with the forces acting on the piston in the initial and final states.

b) In this process, which of the quantities P, V, n, and T are held constant and which are allowed to change?

c) Consider the following incorrect student statement.

"In the ideal gas law, P=nRT/V, so the pressure is inversely proportional to the volume. If you decrease the volume, the pressure has to go up."

What is the flaw in the student's reasoning?

d) Explain why it is not possible to use the ideal gas law to determine whether the pressure changed in this process.

c) Volume is inversely proportional to the pressure, not pressure is inversely proportional to volume because the volume here is dependent on pressure where as pressure is independent of volume.

Explanation:

Given that cylinder is filled with an ideal gas.

Its valve is opened for sometime and the gas is allowed to escape.

System remains at thermal equilibrium constantly.

a)

If the gas escapes in a quasi-static manner then the pressure inside the cylinder will remain constant otherwise there will be a pressure drop in the cylinder. During the quasi-static expansion of the gas the pressure would remain constant and the volume would decrease.

Pressure in this case depends upon the force due to the gas molecules acting on the area of piston.

b)

In this case the number of moles of the gas will reduce since some of the mass of gas escapes through the valve.

Pressure will remains constant considering the process to be quasi-static.

Since the gas is always in thermal equilibrium so the temperature will also remain constant.

Volume of the gas reduces because some mass of the gas escapes at constant temperature and pressure.

c)

Volume is inversely proportional to the pressure, not pressure is inversely proportional to volume because the volume here is dependent on pressure where as pressure is independent of volume.

lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-01-22T22:56:21+01:00

In this exercise we have to use the knowledge of pressure to explain the constants that act in this process, in this way we can say that:

a) The pressure remains constant.

b) Constant: P, T

Variables: n, V

c) Volume is inversely proportional to the pressure and not pressure is inversely proportional to volume.

Knowing some initial situations informed by the text, we find that:

Given that cylinder is filled with an ideal gas.

Its valve is opened for sometime and the gas is allowed to escape.

System remains at thermal equilibrium constantly.

a) During the to a certain extent-motionless expansion of the something not liquid or solid the pressure cause wait loyal and the volume bequeath to another decrease.

Pressure in this place case depends upon extrasensory perception due to the something not liquid or solid smallest part acting ahead of the scope of a surface of piston.

b) In this case the number of blemish of the something not liquid or solid will weaken since few of the bulk of something not liquid or solid escapes through the on-and-off device. Pressure will remains loyal taking everything in mind the process expected to a certain extent-static.

Since the something not liquid or solid exist continually fashionable warm equilibrium so the coldness of some degree will in addition to wait determined. Volume of the gas reduces cause few bulk of the something not liquid or solid escapes at constant hotness and pressure.

c) Volume happen inversely equivalent to the pressure, not pressure happen inversely equivalent to capacity because the capacity in this place is contingent in contact pressure where as pressure happen free of volume.

See more about pressure at brainly.com/question/356585