Question

The volume of a large irregularly shaped tank is determined as follows: The tank is
first evacuated, and then it is connected to a 50 L cylinder of compressed helium gas. The gas
pressure in the cylinder, originally at 21 atm, falls to 7.0atm without a change in temperature. What is the volume of the tank?​

Answer 1

Answer:

The volume of the cylinder, V1 = 50 L

The pressure inside the cylinder, P1 = 21 atm

On connecting the cylinder with the evacuated tank the pressure inside becomes, P2 = 7 atm

Let the volume of the tank be “V2” litres.

Using Boyle’s Law,  

P1 * V1 = P2 * V2

⇒ 21 * 50 = 7 * V2  

⇒ V2 = 1050 / 7 = 150 L

Thus, the volume of the tank is 150 L.