Gas Compression Temperature Change

[DaynaClarke]

Homework Statement

"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.

Homework Equations

I've been using the equation: P₁V₁ / T₁ = P₂V₂ / T₂

This gives me
T₂ = T₁(P₂V₂)/(P₁V₁)

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?

 

[TSny]

Hello. Welcome to PF!

Homework Equations

I've been using the equation: P₁V₁ / T₁ = P₂V₂ / T₂

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.

 

[TomHart]

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

 

[DaynaClarke]

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

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

 

[DaynaClarke]

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.

Thank you for your help