A sample of methane gas, CH₄(g), occupies a volume of 60.3 L at a pressure of 469 torr and a temperature of 29.3°C. What would be its temperature at a pressure of 243 torr and volume of 60.3 L? A)−116.5°C B)15.2°C C)15.5°C D)57.7°C E)310.6°C

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve for the temperature at the new pressure and volume:

(P1V1)/T1 = (P2V2)/T2

Substituting the given values:

(469 torr)(60.3 L)/(302.4 K) = (243 torr)(60.3 L)/T2

Solving for T2:

T2 = (243 torr)(60.3 L)(302.4 K)/(469 torr)(60.3 L) = 156.1 K

Converting to Celsius:

156.1 K - 273.15 = -116.5°C

Therefore, the answer is A, -116.5°C.

A Sample of Methane Gas, CH4(g), Occupies a Volume of 60.3

A Sample of Methane Gas, CH₄(g), Occupies a Volume of 60.3