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
(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 1

Both p and v will change

Answer 2

Answer:

Explanation:

According to the diagram an ideal gas is contained in a cylinder, having a piston of mass M.  The piston can move up and down without friction, thus the only force present is the weight of the piston.

Pressure inside gas = P=P0+Mg/A - Constant where,

P0 - Atmospheric pressure

A - Area of cress section of piston

Mg - Weight of piston

Since the the atmospheric pressure and weight of piston is constant, the pressure will also remain constant. According to the gas law -

PV=nRT

Since, the pressure remains constant, thus if the temperature is increased, then only the volume increases as the piston moves up without friction.