Q.

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)

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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

answer is C.

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Detailed 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 = pa + Mg/Awhere, pa = atmospheric pressure,            A = area of cross-section of the pistonand    Mg = weight of piston.Hence, p = constantAs,      pV = nRT⇒When temperature increases, volume (V) increases at constant pressure.
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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)