the temperature of the gas sample

Question

A sample of nitrogen gas occupies a volume of 8.42 L at 44°C and 847 mm Hg. The volume of the gas sample increases to 10.2 L while its pressure decreases to 562 mm Hg. If the ideal gas law is obeyed, the temperature of the gas sample at the new volume and pressure is____ °C.

Answer 1

Here you are given initial volume, pressure and temperature of a gas. You are also given the final volume, and pressure. You are asked to find the final temperature. For this problem, we use the Combined Gas Law...

P1V1/T1 = P2V2/T2

P1 = 847 mm Hg

V1 = 8.42 L

T1 = 44 + 273 = 317K (always use temperature in K)

P2 = 562 mm Hg

V2 = 10.2 L

T2 = ?

Substituting values into the Combined Gas Law equation and solving for T2, we have...

(847)(8.42)/317 = (562)(10.2)/T2

T2 = (562)(10.2)(317) / (847)(8.42)

T2 = 255K

T2 = 255 - 273 = -18ºC