Calculating Gas Volume Using Charles's Law

A gas sample occupies 3.50 liters of volume at 20°C. What volume will this gas occupy at 100°C?

A) 4.46 L

B) 3.12 L

C) 2.75 L

D) 5.20 L

Final answer:

To find the volume of gas at 100°C from its volume at 20°C, Charles's Law is applied after converting Celsius to Kelvin, resulting in a new volume of 4.46 liters.

Explanation:

The question involves applying Charles's Law, which states that at constant pressure, the volume of a gas is directly proportional to its temperature in Kelvin. To find the volume of the gas at 100°C, you first convert both temperatures to Kelvin: T₁ (initial) = 20°C + 273.15 = 293.15 K and T₂ (final) = 100°C + 273.15 = 373.15 K. Use the formula V₂ = V₁(T₂/T₁) to find the new volume.

Plugging the values in, we get: V₂ = 3.50 L × (373.15 K / 293.15 K) = 4.46 L. Therefore, the volume of the gas at 100°C is 4.46 liters, which corresponds to option A.