A vessel containing 200 ml hydrogen gas at pressure 500torr at temperature 10 degree C. Find its volume when pressure increased to 700 torr and temperature 20degree C.

When the pressure and the temperature are increased the volume is 285.7 ml.

Explanation:

We can find the new volume by using the Ideal Gas Law:

Where:

P: is the pressure

V: is the volume

n: is the number of moles

R: is the gas constant

T: is the temperature  

Initially, when V₁ = 200 ml, P₁ = 500 torr and T₁ = 10 °C, we have:

  (1)  

And finally, when P₂ = 700 torr and T₂ = 20 °C, we have:

  (2)

By equating (1) with (2):

Therefore, when the pressure and the temperature are increased the volume is 285.7 ml.                                                

I hope it helps you!