Charles Law Calculator

Charles Law Calculator

The calculator uses the Charles law equation (V1/T1 = V2/T2) to calculate initial and final values of volume and temperature of an ideal gas.

To Calculate:

Initial temperature (V₁)

m³ ▾

Initial volume (T₁)

K ▾

Final temperature (V₂)

m³ ▾

The Charles Law calculator helps calculate the initial or final temperature, volume, pressure, or amount of a gas. It uses the Charles Law formula to find any missing variable. Understanding Charles's Law clarifies the relationship among gas variables.

Charles Law Formula:

Charles's Law states:

\( \frac{V_1}{T_1} = \frac{V_2}{T_2} \)

Where:

V1 = Initial volume
T1 = Initial temperature
V2 = Final volume
T2 = Final temperature

Charles Law Equation:

Volume of a gas is directly proportional to its temperature at constant pressure: V ∝ T
Mathematically: V = kT, where k is a constant
Or equivalently: V / T = k

Charles Law Graph:

Charles's Law can be visualized as a volume vs temperature graph at constant pressure. As temperature increases, volume increases linearly, demonstrating the direct proportionality of volume and temperature.

Charles Law Calculator

Examples (Step-by-Step)

Example 1: Find the final volume when the initial volume is 8 mL at 2 °C, and the final temperature is 4 °C.

Step 1: Convert temperatures to Kelvin:

\(T_1 = 273 + 2 = 275 \, K\)

\(T_2 = 273 + 4 = 277 \, K\)

Step 2: Apply Charles's Law:

\(\frac{V_1}{T_1} = \frac{V_2}{T_2} \)

\( \frac{8}{275} = \frac{V_2}{277} \)

\( V_2 = \frac{8 \times 277}{275} \approx 8.05 \, \text{mL} \)

Answer: The final volume is 8.05 mL.

Example 2: If a gas initially has a volume of 4 ft³ at 280 K, and it expands to 8 ft³ at constant pressure, find the final temperature.

Step 1: Apply Charles's Law formula for temperature:

\( T_2 = T_1 \times \frac{V_2}{V_1} \)

\( T_2 = 280 \times \frac{8}{4} = 560 \, K \)

How Charles Law Calculator Works

Input:

Select the variable to calculate (initial/final temperature, initial/final volume, pressure, or amount of gas).
Enter the known values in the corresponding fields.
Click "Calculate".

Output:

The value of the unknown variable is displayed in multiple units.
Allows unlimited calculations by adjusting input values.

References:

Wikipedia: Relation to Absolute Zero, kinetic theory, law of volumes.
Chemistry LibreTexts: Temperature-Volume Data, Charles's Law, Experimental Gas Law