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  • A cylinder containing an ideal gas is in a 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

A cylinder containing an ideal gas is in a vertical position and has a piston of mass M that can move up or down without friction ( figure). If the temperature is increased
(a) both P and V of the gas will change
(b) the only P will increase according to Charles’ law
(c) V will change but not P
(d) P will change but not V

 

Answers (1)

The answer is the option (c)

In the case of an ideal gas, the pressure remains the same throughout, irrespective of the initial or final position. Here, P= \frac{Mg}{A} no friction acts on the piston and the cylinder

We have, PV = nRT

Since P, n and R are constant here, V\propto T. So, the temperature increases as volume increases and vice-versa at the same time, when pressure remains constant.

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