Question

A scuba diver 200 m underwater experiences a temperature of 15 oC and a pressure of

2 atm If she takes a large breath of oxygen (inhaling 2.0 L) and then swims to the
surface without exhaling, what will be the volume of oxygen in her lungs? The
temperature at the surface is 30 oC and the pressure is 1 atm

Answer 1

The answer to your question is 4.2 l

Step-by-step explanation:

Data

Temperature 1 = T1 = 15°C = 288ºK

Pressure 1 = P1 = 2 atm

Volume 1 = V1 = 2 l

Temperature 2 = T2 = 30°C = 303ºK

Pressure 2 = P2 = 1 atm

Volume 2 = V2 = ?

Formula

Combined gas law

`(P1V1)/(T1) = (P2V2)/(T2)`

Solve for V2

`V2 = (P1V1T2)/(P2T1)`

Substitution

`V2 = ((2)(2)(303))/((1)(288))`

Simplification

`V2 = (1212)/(288)`

Result

V2 = 4.2l