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Question

The variation of pressure with volume of the gas at different temperatures can be graphically represented as shown in figure. On the basis of this graph answer the following questions.

(i) How will the volume of a gas change if its presuure is increased at constant temperature?

(ii) At a constant pressure, how will the volume of a gas change if the temperature is increased from 200 K to 400 K?

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Solution

In accordance to Boyle's law, pressure of a gas is inversly proportional to its volume if temperature is kept constant. Thus, the volume of a gas will decrease if the pressure on the gas is increased keeping the temperature constant. e.g., at 200 K when pressure increases from P1to P2, the volume of the gas decreases, V2V1.

Formula: P1 V1 = P2 V2

In accordance with Charles gas law, the volume of a gas is directly proportional to its temperature if pressure is kept constant.

Thus, on increasing temperature, the volume of a gas will increase if pressure is kept constant.

At constant Pressure when we increase the temperature from 200 K to 400 K, the volume of the gas increases, V4>V3.

Formula: V1T1 = V2T2

Hence, the Volume of the gas will double if we increase the double of the temperature [ from 200 K to 400 K ].


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