How Large Should the Second Tank Be to Achieve the Desired Pressure Increase?

[pavadrin]

Homework Statement

The pressure in a volume of 1760 cubic inches needs to be raised from 16PSI to 40PSI. This is done via a second tank which has a maximum pressure of 100PSI. In order for this system to function, the second volume needs to be of a certain size. Calculate the volume required for tank.

Homework Equations

Not sure.

The Attempt at a Solution

I am stuck on how I can use PSI which is a measurement of pressure for an area with volume.
Any suggestions on where I could start would be greatly appreciated, as I am truly stuck.

Many thanks,
pavadrin

 

[dynamicsolo]

You would use the pressure in the ideal gas law. The unit, PSI, is pounds per square inch; one atmosphere pressure is close to 14.7 PSI. (Pressure always has units which involve area, since it is defined as the force per area on a surface.)

The problem is a bit unclear on one point. Is the gas in the second tank going to be released into the first volume, so that it mixes with it to raise the pressure? Is it assumed that the temperature remains constant while this happens?