Question

At a constant temperature volume of a gas was found to be 400 cm cube at a pressure of 760 HG if the pressure of gas is increased by 25% find the new volume

Answer 1

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Answer 2

The new volume will be $320cm^3$

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.  The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=760 mmHg\\V_1=400cm^3\\P_2=760+\frac{25}{100}\times 760=950mmHg\\V_2=?$

Putting values in above equation, we get:

$760\times 400=950\times V_2\\\\V_2=320cm^3$

Thus the new volume will be $320cm^3$

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