# Homework Help: Gas Compression Temperature Change

1. Feb 23, 2017

### DaynaClarke

1. The problem statement, all variables and given/known data
"One way to heat a gas is to compress it. A gas at 1.00 atm at 25.0°C is compressed to one tenth of its original volume, and it reaches 40.0 atm pressure. What is its new temperature?"
So, I have:
P1 = 1
V1 = 1
T1 = 25
P2 = 40
V2 = 0.1

And I'm looking for T2
The question was multiple choice: 1500K, 919 degrees C, 1500 degrees C, and 1192 degrees C.
I'm getting 100 degrees C.

2. Relevant equations
I've been using the equation: P1V1 / T1 = P2V2 / T2

This gives me
T2 = T1(P2V2)/(P1V1)

3. The attempt at a solution
When I put in my numbers, it gives me:
T2 = 25 (4/1)
= 100 degrees C

This isn't one of the options, but I can't see where I have gone wrong.

If I convert everything to Kelvin, I get 1192K, which is still not quite right due to the units.

Any and all help would be highly appreciated. Am I using the wrong equation, or have I simply missed something?

2. Feb 23, 2017

### TSny

Hello. Welcome to PF!
T is absolute temperature in this equation. So, T should be in K. Once you get your answer in K, you can convert to oC.

3. Feb 23, 2017

### TomHart

What do you get if you convert your 1192K to Celsius?

4. Feb 23, 2017

### DaynaClarke

919... I feel ever so silly, thank you.

5. Feb 23, 2017