First slide

laws

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 (see figure). If the temperature is increased, then [NCERT Exemplar)

Moderate

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

Solution

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
and Mg = weight of piston.
Hence, p = constant
As, pV = nRT
$\Rightarrow$ When temperature increases, volume (V) increases at constant pressure.

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