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A cylinder containing an ideal gas is in...

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

A

Both p and V of the gas will change

B

Only p will increase according to Charles' law

C

V will change but not p

D

p will change but not V

Text Solution

Verified by Experts

The correct Answer is:
C
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=p_a+Mg//A`
where, `p_a`= atmospheric pressure
A = area of cross - section of the piston
Mg = weight of piston
Hence, p = constant
When temperature increase
as `pV=nRTrArr` volume (V) increase at constant pressure
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