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Question
A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Figure). If the temperature is increased ______.
Options
both p and V of the gas will change.
only p will increase according to Charle’s law.
V will change but not p.
p will change but not V.
Solution
A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Figure). If the temperature is increased V will change but not p.
Explanation:
Consider the diagram where an ideal gas is contained in a cylinder, having a piston of mass M. Friction is absent.
The pressure inside the gas will be P = Pa + Mg/A
Where, Pa = Atmosphere pressure
A = area of cross-section of the piston
Mg = Weight of piston
Hence, P = constant
When temperature increases as PV = nRT
⇒ Volume (V) increases at constant pressure.
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