If a diver has 0.03 L of gas in his blood under a pressure of 300 atm, then rises instantaneously to a depth where his blood has a pressure of 30 atm, what will the volume of gas in his blood be?

0.3L

Explanation:

Given parameters:

Initial volume V1  = 0.03L

Initial pressure P1  = 300atm

New pressure P2  = 30atm

Unknown:

New volume V2 = ?

Solution:

To solve this problem, we apply Boyle's law which states that "the volume of a fixed mass of a gas varies inversely as the pressure changes if the temperature is constant".

So

        P1 V1  = P2 V2

P and V are pressure and volume

1 and 2 are the initial and new states

       300 x 0.03  = 30 x V2

              V2  = 0.3L

1. they vary with a higher number because boiling is way hotter than melting