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23 Nov 2019

Assume that you have a cylinder fitted with a movable piston and enclosing a fixed amount of gas. Provide a mathematical proof to your answer for each of the following cases.
​A. What would happen to the gas pressure inside the cylinder if you decrease the volume to one-fourth the original volume while holding the temperature constant?
​B. What would happen to to the gas volume inside the cylinder if the pressure is doubled and the Kelvin temperature is doubled?

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Collen Von
Collen VonLv2
4 Feb 2019

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Related questions

Assume that you have a cylinder with a movable piston. Whatwould happen to the gas volume of the cylinder if you were todouble the Kelvin temperature and double the pressure?

Assume that you have a cylinder with a movable piston. Whatwould happen to the gas volume of the cylinder if you were todouble the Kelvin temperature and double the pressure?

The volume would decrease by 2.
The volume would increase by 2.
The volume would decrease by 4.
The volume would increase by 4.
This is no volume change.

1. Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you do the following?

A. Decrease the volume to one-fourth the original volume while holding the temperature constant. Express your answer in terms of the variable Pinitial.

B. Reduce the Kelvin temperature to half its original value while holding the volume constant. Express your answer in terms of the variable Pinitial.

C. Reduce the amount of gas to half while keeping the volume and temperature constant. Express your answer in terms of the variable Pinitial.

2. The typical atmospheric pressure on top of Mt. Everest (29,028 ft) is about 265 torr. Convert this pressure to

A. mmHg

B. pascals

C. bars

Assume that you have a cylinder with a movable piston. Whatwould happen to the gas pressure inside the cylinder if you were todo the following?


Part A.) Triple the Kelvin temperature while holding the volumeconstant

A. The pressure would increase by a factor of 4

B.The pressure would increase by 1/4

C. The pressure would triple

D. The pressure would be halved.



Part B.) Reduce the amount of gas by 1/3 while holding the temperature and volumeconstant

A.The pressure would be 1/3 the initial pressure.

B. The pressure would increase by 1.8 times.

C. The pressure would triple

D. There is no volume change



Part C.) Decrease the volume by 40%at constant T

A. The pressure would increase by 1.7 times

B. The pressure would decrease by 1.7 times

C. The pressure would increase on 40%.

D. The pressure would decrease on 40%



Part D.) Halve the Kelvin temperature, and triple the volume

A. The pressure would increase by a factor of 5.

B. The pressure would be 0.13 times the initial pressure

C. The pressure would be 0.17 times the initial pressure

D. The pressure would triple.

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