Calculating Gas Volume with Charle's Law

How do we calculate the volume of a gas using Charle's Law?

A gas sample occupies 3.50 liters of volume at 20.°C. What volume will this gas occupy at 100°C (reported to three significant figures)?

Answer:

The volume of a gas can be calculated using Charle's Law, which states that the ratio of the initial volume to the final volume is equal to the ratio of the initial temperature to the final temperature.

In this case, we are given the initial volume (V1) as 3.50 liters, the initial temperature (T1) as 20°C (or 293 K), and the final temperature (T2) as 100°C (or 373 K).

Applying Charle's Law formula:

[tex] \\frac{V1}{V2} = \\frac{T1}{T2} [/tex]

Substitute the values:

[tex] \\frac{3.5}{V2} = \\frac{293}{373} [/tex]

Solve for V2:

[tex] V2 = \\frac{(373 X 3.5)}{293} = 4.556 L [/tex]

Therefore, the gas would occupy a volume of approximately 4.556 liters at 100°C, rounded to three significant figures.