Ncert Exercises & Solutions

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,

1. both P and V of the gas will change.

2. only P will increase according to Charles' law.

3. V will change but not P.

4. P will change but not V.

3. Hint: The pressure remains the same.

Consider the diagram where an ideal gas is contained in a cylinder, having a piston of mass M. Friction is absent.

Step 1: Find the change in volume.

The pressure inside the gas will be,

P = P_{a} + M g / A

where

P_{a}

= atmospheric pressure
A = area of cross-section of the piston.
Mg = weight of the piston
Hence, P = constant.
When temperature increases, as PV = nRT

\Rightarrow

volume (V) increases at constant pressure.

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