Question

A sample of ideal gas at room temperature occupies a volume of 36.0 L at a pressure of 692 torr . If the pressure changes to 3460 torr , with no change in the temperature or moles of gas, what is the new volume, V2?

Answer 1

Here the sample contain the initial volume 36.0 L and initial pressure is 692 torr

Let the initial pressure and the initial volume .

Now the pressure changes to final pressure of 3460 torr that means with no change of temperature.

The new final volume can be calculated by using the Boyle's law that means Pressure is inversely proportional to Volume at constant temperature.

Now applying the Boyle's law :

Hence the new Volume is 3.744 L.