Gas Volume Calculation using Charles Law

Problem:

3.50 liters of a gas at 727.0 K will occupy how many liters at 153.0 K?

Question:

How can we determine the volume of gas at 153.0 K using Charles Law?

Answer:

0.737 L

Explanation:

Charles law states for a fixed amount of gas, volume of the gas is directly proportional to the absolute temperature of the gas at constant pressure.

We can use the following equation:

V1/T1 = V2/T2

where V1 is volume and T1 is temperature at first instance.

V2 is volume and T2 is temperature at the second instance.

Substituting the values:

3.50 L / 727.0 K = V2 / 153.0 K

V2 = 0.737 L

Therefore, the new volume at 153.0 K is 0.737 L.