A sample of a gas takes up 2.35L of space at room temperature (20.0ºC). What volume will the gas occupy at -5.00ºC? (Hint: Don’t forget to convert the temperatures to kelvins.

Question

A sample of a gas takes up 2.35L of space at room temperature (20.0ºC). What volume will the gas occupy at

-5.00ºC? (Hint: Don’t forget tA sample of a gas takes up 2.35L of space at room temperature (20.0ºC). What volume will the gas occupy at

-5.00ºC? (Hint: Don’t forget to convert the temperatures to kelvins.o convert the temperatures to kelvins.

Answer 1

Given:

Initial volume = V1 = 2.35 L

Initial temperature = T1 = 20.0ºC + 273 = 293K (converted to Kelvin)

Final temperature = T2 = -5.00ºC + 273 = 268K

Asked to find:

Final volume = V2 = ?

From the Combined Gas Law, P1V1/T1 = P2V2/T2, we can find V2 (final volume). Since there is no pressure (P) given in this problem, we assume it is constant, and we are left with V1/T1 = V2/T2.

2.35 L / 293K = V2 / 268K

V2 = (2.35 L)((268K) / 293K

V2 = 2.15 L