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A cylinder containing an ideal gas is in...

A cylinder containing an ideal gas is in verticle postion and has a piston of mass M that is able to move up of down without friction. It 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:
A
Consider the diagram where an ideal gas is contained in a cylinder, having a piston of mass M. Friction is absent.

The pressure in side 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 increases
as pV = nRT `rArr` Volume (V) increases at constant pressure.
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