What is the final temperature?

Question

A gas has a volume of 4.40 L at 0∘C. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if P and n do not change?

1. 1.30 L
2. 1500 mL
3. 290 mL
4. 80 mL

Answer 1

If P (pressure) is constant, we have Charles Law: V1/T1 = V2/T2. For problem #1, you have the following:

V1 = 4.40 L

T1 = 0ºC + 273 = 273K

V2 = 1.30 L

T2 = ?

4.40 L/273K = 1.30 L/T2

T2 = 273 x 1.30/4.40

T2 = 81K = 81 - 273 = -192ºC

Do the others the same way substituting the given volume for V2 and solve for T2