A gas sample in a closed,expandable container of initial volume 5.00 L was allowed to warm from 25 °C to 35 °C What was its new volume,assuming the pressure and amount of gas do not change?
A)4.84 L
B)5.17 L
C)7.00 L
D)3.57 L
E)4380 L

Question

Quizplus · Accepted Answer

The volume and temperature of a gas are directly proportional at constant pressure and amount of gas, as stated in Gay-Lussac's Law.

V1/T1 = V2/T2

Given: 
V1 = 5.00 L 
T1 = 25 °C + 273.15 = 298.15 K 
T2 = 35 °C + 273.15 = 308.15 K

Solving for V2: 
V2 = (V1 x T2) / T1 
V2 = (5.00 L x 308.15 K) / 298.15 K 
V2 = 5.17 L

Therefore, the new volume of the gas sample is 5.17 L, which is best represented by choice B.

A Gas Sample in a Closed,expandable Container of Initial Volume