What is the final temperature?

Question

a gas at 40°c has a volume of 34 liters and a pressure of 1700 mmHg. It is compressed to a volume of 15 liters and a pressure of 3000 mmHg. what is the final temperature?

Answer 1

Assuming ideal behavior of the gas....

P1V1/T1 = P2V2/T2

P1 = 1700 mm Hg

V1 = 34 L

T1 = 40ºC + 273 = 313K

P2 = 3000 mm Hg

V2 = 15 L

T2 = ?

(1700 mm)(34 L)/(313K) = (3000 mm)(15 L)/(T2)

T2 = 244K = -29ºC