A gas has a temperature of 14 oC and volume of 4.5 liters. If the temperature is raised to 29

oC and the pressure is not changed, what is the new volume of the gas?

The new volume of the gas is 4.74L

Explanation:

Data;

T1 = 14°C = (14 + 273.15) K = 287.15K

V1 = 4.5L

T2 = 29°C = (29 + 273.15) K = 302.15

V2 = ?

From Charles law,

The volume of a fixed mass of gas is directly proportional to its temperature provided that pressure remains constant.

Mathematically,

V = kT

k = V1 / T1 = V2 / T2 = V3 / T3 = ... = Vn / Tn.

V1 / T1 = V2 / T2

Solving for V2

V2 = (V1 * T2) / T1

V2 = (4.5 * 302.15) / 287.15

V2 = 4.735L

V2 = 4.74L

The new volume of the gas is 4.74L