Gas Volume Calculation based on Temperature Change

What is the volume of the gas before it is heated if a gas is at 275 K, and its temperature is raised to 400 K, with a measured volume of 5.82 L after heating? The volume of the gas before it is heated is 4.00 L.

Explanation:

Charles's Law states that the volume of a gas is directly proportional to its temperature, assuming constant pressure.

The formula for Charles's Law is:

V1/T1 = V2/T2

Where:

V1 = initial volume (litres)

T1 = initial temperature (Kelvin)

V2 = final volume (litres)

T2 = final temperature (Kelvin)

Given data:

T1 = 275K, T2 = 400K, V2 = 5.82L

Using the formula:

V1/275 = 5.82/400

400 × V1 = 275 × 5.82

400V1 = 1601.5

V1 = 1601.5 ÷ 400

V1 = 4.00 L

Therefore, the volume of the gas before it is heated is 4.00 L.

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