A gas is collected in a container of fixed volume at 25 °C.If the gas exerts a pressure of 685 mm Hg at this temperature,what will the temperature of the gas be when the pressure is 7.60 * 10² mm Hg?

Question

Quizplus · Accepted Answer

We can use the combined gas law:

(P1V1/T1) = (P2V2/T2)

P1 = 685 mm Hg
V1 = fixed volume
T1 = 25 °C + 273.15 = 298.15 K
P2 = 760 mm Hg
V2 = fixed volume
T2 = ?

Simplifying the equation:

T2 = (P2/P1) * (T1)

T2 = (760 mm Hg / 685 mm Hg) * (298.15 K)

T2 = 330.98 K

Converting back to Celsius:

T2 = 330.98 K - 273.15 = 57.83 °C

Therefore, the temperature of the gas will be approximately 58 °C when the pressure is 760 mm Hg. The answer is choice B.

A Gas Is Collected in a Container of Fixed Volume