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Or # 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 volume (V₁)

Initial temperature (T₁)

Final volume (V₂)

Final temperature (T₂)

Pressure (p)

Amount of gas (n)

mol

Gas constant (R)

J⋅K⁻¹⋅mol⁻¹

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The Charles law calculator helps you to calculate the value of initial temperature, final temperature, initial volume, final volume, pressure, or amount of the gas.

It follows the Charles law formula to make calculations for any of the missing variables. let’s take a start with the definition of Charles law to understand the relationship among gas variables.

## Charles Law Formula:

Charles law formula is: $$\frac{V_1}{T_1} = \frac{V_2}{T_2}$$

Whereas:

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

## Charles Law Equation:

• If the volume of a gas is V and temperature is T Then According to the Charles law definition: V ∝ T
• Therefor Charles law equation will be: $$V ∝ T = V = KT$$
• With the help of this Charles law equation, its formula can be derived easily: $$V/T =k$$

## Charles law graph:

Charles law graph is basically a volume vs temperature graph that will be plotted by keeping the pressure constant for a fixed amount of gas. The graph shows that by the increase in volume the temperature will rise as well. Consequently, the volume will be directly proportional to the temperature of a gas under constant pressure. The graph is given below: ## Charles Law Examples (step-by-step)

A Charles law calculator has the potential to provide easy simple and fast solutions to all the Charles law related problems. However, you can also implement the Charles law equation to carry out the manual step-by-step solution of related problems. For example:

If the initial volume of the gas is 8 at 2 degrees Celsius and the final temperature is 4 then what will be the final volume according to Charles law?

In the first step we will convert all the given temperature into absolute temperature as follows:

$$T_1K = 273 + 2 = 275$$

$$T_2K = 273 + 4 = 277$$

Now we will apply Charles law:

$$V_1/T_1 = V_2/T_2$$

$$8/275 = V_2/277$$

$$V_2= 8 X 277 / 275$$

$$V_2 = 8.05$$

• Answer: So The final obtained volume after increasing the temperature is: 8.05 mL.

If you are doing a similar calculation by using a Charles gas law calculator, then you will get the answer in standard units automatically.

Example:

If the initial volume of any gas is 4 ft³at 280k but increases to 8ft³ with the rise in temperature under constant pressure. What will be the increased temperature?

Solution:

Now according to Charles law:

$$V_1 / T_1 = V_2 / T_2$$

Given values are:

$$V_1 = 4 ft^3$$

$$V_2 = 8 ft^3$$

$$T_1 = 280K$$

$$T_2 =?$$

Put values in Charles law formula as follows:

$$T_2= T_1 X V_2 / V_1$$

$$T_2 = 280 X 8 / 4 = 560k$$

$$T_2 = 560k$$

## How Charles Law Calculator Works?

The working procedure of a Charles law calculator is simple and easy to follow to make error-free and precise calculations. Follow the given steps to have outcomes within free of seconds:

### Input:

• You can select one variable of your choice from initial temperature, final temperature, initial volume, final volume, pressure, and amount of gas in the drop-down menu.
• Now fill in the remaining input fields accordingly after selecting the unknown variable.
• Click the calculate button to have the value of the required variable.

### Output:

• After few moments the result will be displayed in the output field. It will be the value of the unknown variable with multiple units.
• This gas law calculator allows you to make an unlimited number of calculations by changing the input fields.

## Reference:

From the source of Wikipedia: Relation to absolute zero, Relation to kinetic theory, the law of volumes.

From the source of Chemistry LibreTexts: Temperature-Volume Data, Charles’s Law, Experimental gas law.