# Homework Help: Ideal gas equation problem

1. Nov 22, 2008

### 6021023

1. The problem statement, all variables and given/known data
A diver observes a bubble of air rising from the bottom of a lake (where the absolute pressure is 3.50 atm to the surface (where the pressure is 1.00 atm). The temperature at the bottom is 4.0 C, and the temperature at the surface is 23.0 C}.

What is the ratio of the volume of the bubble as it reaches the surface to its volume at the bottom, V2/V1?

2. Relevant equations
p1V1/T1 = p2V2/T2

V2/V1 = p1/p2 * T2/T1

3. The attempt at a solution

V2/V1 = (3.5)/1 * 23/4

V2/V1 = 20.125

2. Nov 22, 2008

### naresh

How would you solve the problem if the temperature was given to you in Fahrenheit?

3. Nov 22, 2008

### 6021023

I would convert to K. That gave me the correct answer. Thanks!

Also, there's a second part to this question:

"Would it be safe for the diver to hold his breath while ascending from the bottom of the lake to the surface?"

My first answer would be no, because the solution V2/V1 = 3.74 shows that the volume of air expands more than three times, but I think that the temperature inside the diver should stay the same, and so it won't expand like this. What's the answer?

Last edited: Nov 22, 2008
4. Nov 22, 2008

### naresh

Well, you could assume that the temperature doesn't change from the bottom to the top - you will still get a factor of more than three. What other difference is there between a diver and a bubble?