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Charles' Law Calculator

Charles' Law Calculator

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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An online 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.

What is Charles Law?

Charles’s law demonstrates the relationship between the volume and temperature of an ideal gas. The concept was explained by the French Physicist J.-A.-C. Charles and the chemist Joseph-Louis Gay-Lussac. Charles gas law states that the volume occupied by an ideal gas is directly proportional to the absolute temperature if we keep the pressure constant.

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: \(V/T =k\)

However, if you are using an online Charles law calculator then there is no need to memorize the formula or equation as it will automatically follow it to make accurate and precise calculations.

Moreover, a free and best Ideal Gas Law Calculator that calculates the unknown measurable properties of the ideal gas law equation.

Other Gas Law Formulas:

There are different gas laws that express the relationship between volume and temperature. Other included variables are pressure and moles of the gas. These four variables are responsible to make predictions about gas behavior according to gas laws:

Boyle’s Law Formula:

Boyle’s law has constant temperature and gas quantity so the pressure of gas multiply by its volume is also constants. So, according to Boyle and Charles law, Boyle’s law formula is:

$$p_1 . V_1 = p_2 . V_2$$

Therefore, two different gases with an equal quantity of molecule must have the same pressure as long as two gases with the same quantity and pressure have the same volume when the temperature remains the same.

Gay-Lussac’s Law Formula:

This law is a variant of the ideal gas law where we keep the volume constant. According to this law, the pressure of a gas is directly proportional to the temperature if the volume remains constant. Gay-Lussac’s formula is:

$$\frac{P_1}{T_1} = \frac{P_2}{T_2}$$

Avogadro’s Law Formula:

According to Avogadro’s Law, the total number of atoms/molecules of a gas is directly proportional to its volume under constant temperature and pressure. Avogadro’s Law Formula is:

$$\frac{V_1}{n_1} = \frac{V_2}{n_2}$$

Combined Gas Law Formula:

Combined gas law states that if we keep the volume constant then the pressure of a gas will be directly proportional to the absolute temperature. It is the combination of Charles’s law, Boyle law, and Avogadro’s law. The combined gas law formula is

$$P_1.V_1.T_1=P_2.V_2.T_2$$

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 Calculator

Furthermore, the free Mole Fraction Calculator helps you to determine the mole fraction, moles of solute, and moles of solvent according to the given inputs.

Charles’ law in Daily life:

Some of the Charles law examples from our daily lives are:

  1. Hot air balloons: Hot air balloons presents the perfect demonstration of the relationship between the volume and temperature of an ideal gas. With the increase in temperature, the volume will increase automatically. As a result, the density will decrease and the balloon will float in the air.
  2. Human lungs: Air flows in and out when a human takes to breathe. During winters, the temperature of air and body is less and cause a decrease in the volume of air. As a result, it will shrink the human lungs and makes it difficult to carry any physical activity in winters.
  3. Tires: Tires of new vehicles will be deflated during winter and inflated in summer. This strange behavior is the outcome of Charles’s law. As in the winter season, the temperature will be low, so the inside air will get cooler, and shrink Tyrese.

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.

FAQs:

How do you know When to use Charles’s Law?

If there is a situation in which the pressure of the gas constant, but there is an increase in the temperature and you are also allowed to manipulate the temperature then you can use Charles gas law for making comparisons among volume and temperature.

What is the Importance of Charles Law?

Charles’ Law is considered an experimental gas law. It demonstrates the expansion of gases with the rise in temperature. Therefore, it is an important law to understand the behavior of gases under ideal and ordinary situations.

Does an Ideal Gas Exist in Reality?

Ideal gas contains molecules that have no size and perfectly elastic collisions. There are almost Insignificant intermolecular forces between the gas molecules. Consequently, this idea of an ideal gas is hypothetical and no such thing exists in the physical universe.

Why is the combined Gas Law Important?

The combined gas law is important as it will allow you to derive any of the desirable associations by combining all of the unstable variables such as pressure, temperature, and volume of an ideal gas.

Ending Note:

Online Charles law calculator gives you a perfect online opportunity for solving problems using Charles’s gas law equation. It makes your calculations easy as ABC and instantly. It supports students as well as professionals to calculate the unknown properties of the gas under the same pressure by following all the standard rules.

Reference: 

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

From the source of ThoughtCo : Charles’s Law Definition in Chemistry, Charles Law Definition and Equation, Charles’s Law and Absolute Zero.

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