# Charles Law Calculator

The Charles Law Calculator is a web-based tool for determining the ideal gas characteristics in an isobaric reaction. All you have to do is enter the required inputs in the tool's input area and press the calculate button to get the output, which is the final pressure or volume, in no time.

### Charle's Law Definition

When the mass and pressure of a gas remain constant, Charle's Law, commonly known as the Law of Volumes, describes the relationship between volume and temperature. Volume and temperature are exactly related, according to Charles Law.

In the other words, the Charles Law Definition can be rephrased as follows: The ratio of volume and temperature of a gas in a closed system remains constant as long as the pressure does not change. It describes the behaviour of an ideal gas in an isobaric transition, implying that the pressure remains constant throughout.

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### Charle's Law Formula

We can write the equation as V_{ 1}/ T_{ 1}= V_{ 2}/ T_{ 2}, where V_{ 1}and T_{ 1}are the initial volume and temperatures, and V2, T2 are the end values, according to the definition of Charles Law.

If you wish to calculate the ultimate volume, use the Charles Law Equation V_{ 2}= V_{ 1}/ T_{ 1}* T_{ 2}. On the other hand, rearranging the charles law formula yields T_{ 2}= T_{ 1}/ V_{ 1}* V_{ 2}if you wish to specify the ultimate volume and estimate the temperature.

### Charle's Law Derivation

According to Charles Law, the volume of a gas is directly proportional to its temperature at constant pressure. The statement is abbreviated as VT. We can substitute a constant k for the proportionality sign, i.e. V/T = Constant = k. The Constant k is affected by the gas's pressure, as well as the amount, volume units, and other factors.

If we consider V_{ 1}and T_{ 1}to represent the original volume and temperature at constant pressure, we can write the equation as V_{ 1}/T_{ 1}=k .................(1)

When the temperature changes, the volume changes to V2 and the temperature changes to T2. The equation can be written as V_{ 2}/ T_{ 2}= k ................... (2)

V_{ 1}/ T_{ 1}= V_{ 2}/ T_{ 2}or V_{ 1}T_{ 2}=V_{ 2}T_{ 1}is the result of equating both equations.

### Charles Law Graph

Isobar or Isoplestics is a graph of volume and temperature with constant pressure that always gives a straight line. For the temperature - 273.15°C, which is the lowest allowable temperature, a plot of V Versus T under constant pressure is presented below.

### Examples of Charles Law in Reality | Charle's Law Applications

There are a variety of Charles Law applications, and we've listed the most popular ones in the areas below.

**Balloon Flight:**Have you ever watched a balloon fly across the sky and wondered how it got there? It's due to Charles Law, i.e. When air is heated, its volume expands and its density falls. The Bouyancy of Surrounding takes care of the rest, and the balloon begins to float.

**Experiments with Liquid Nitrogen:**When you place a balloon in a container filled with liquid nitrogen, it begins to shrink and liberate itself, regardless of how it was at the start. After a temperature change, it returns to its previous state, and so on.

### Charle's Law Calculation Example

**Question 1:**The initial volume of a gas sample is 30L, and the initial temperature is -35°C. If the volume of the gas is 20L, what will the temperature be?

**Solution:**

Consider the problem, we have

Initial Volume (V_{ 1})=30L

Converting Volume 30L into Cubic metres

Given, Volume v_{ 1}=30L

Volume V _{ 1 } =30 /1000 m ^{ 3 }

Volume V _{ 1 } =0.03 m ^{ 3 }

Final Volume(V _{ 2 } ) = 20L

Converting Volume 20L into Cubic metres

Given, Volume V _{ 2 } =20L

Volume V _{ 2 } =20 /1000 m ^{ 3 }

Volume V_{ 2}=0.02 m^{ 3}

Initial Temperature (T_{ 1}) = -35°C

Converting Volume 20lt into Cubic metres

Given Volume V _{ 2 } =20lt

Volume V _{ 2 } =20 /1000 m ^{ 3 }

Volume V _{ 2 } =0.02 m ^{ 3 }

We know the formula to calculate Charle's Law, V _{ 1 } / T _{ 1 } = V _{ 2 } / T _{ 2 }

Substituting the inputs, we get the unknown parameter as

Temperature T _{ 2 } =(0.02*308.15)/0.03

Temperature T _{ 2 } =205.433K

As a result,The Temperature T _{ 2 } =205.433K

### FAQs on Charles Law Calculator

**1. What exactly does Charles Law entail?**

The volume of a gas with a fixed mass is exactly proportional to temperature, according to Charles Law.

**2. What are the Impacts of the Charles Law?**

Balloon Flight, Liquid Nitrogen Experiments, Thermometers, and a variety of thermodynamic processes all require Charles Law.

**3. What is the Charles Law Formula?**

The equation V_{ 1}/T_{ 1}= V_{ 2}/T_{ 1}is the formula for Charles Law.

**4. What is the Charles Law Calculator and how can I use it?**

To figure out the other unknown parameter in the charles equation, simply enter the initial volume, temperature, and final volume or temperature, then press the calculate button.