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Boyle's Law Calculator

Boyle's Law Calculator

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To calculate

Initial pressure (p₁)

 

Initial Volume (V₁)

 

Final pressure (p₂)

 

Final volume (V₂)

 

Temperature

 

Amount of gas (n)

mol

Gas Constant (R)

J⋅K⁻¹⋅mol⁻¹
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Table of Content

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Make use of this free Boyle’s law calculator to check the behaviour of gas parameters at a constant temperature.

Let’s move ahead and discuss how you could determine these entities manually and speed up your calculations by using this free pressure volume work calculator.

Jump down!

What Is Boyle’s Law?

This gas law states that:

“At a constant temperature, the volume of a gas is inversely proportional to the pressure applied to it”

boyle's law

Boyles Law Formula:

You can analyze behaviour of a gas enclosed in a container by subjecting to the following boyle’s law equation:

$$ P_{1}*V_{1} = P_{2}*V_{2} $$

where:

\(P_{1}\) = Initial temperature of the gas

\(V_{1}\) = Initial volume of the gas

\(P_{2}\) = Final gas pressure

\(V_{2}\) = Final volume of the

You can use this pressure volume calculator that describes the most accurate estimations of pressure and volume of any gas that may be packed in a closed object.

Gas Parameters Formulas:

Here you do not need to get indulged in complex calculations. All you need is just to rearrange the basic pressure and volume formula mentioned above as follows:

Initial Pressure:

$$ P_{1} =\frac{P_{2}*V_{2}}{V_{1}} $$

Initial Volume:

$$ V_{1} =\frac{P_{2}*V_{2}}{P_{1}} $$

Final Pressure:

$$ P_{2} =\frac{P_{1}*V_{1}}{V_{2}} $$

Final Volume:

$$ V_{2} =\frac{P_{1}*V_{1}}{P_{2}} $$

Applications of Boyle’s Law:

There are various real world applications of the Boyle’s law. Some of which are explained below:

Human Breathing Mechanism:

When we inhale, the volume of the lungs increase. Meanwhile, the pressure inside them gets decreased. On the other hand, exhaling air out of the lungs increases pressure in them. Also, th evolume of the air in them decreases enough. This is indeed the best natural medical phenomenon following Boyle’s law.

Operation of a Syringe:

The working of a syringe is another important application of Boyle’s law. As we all know there are three main parts of a syringe. These include its tip, barrel, and a plunger. Now suppose that barrel acts like a piston here. When it is pushed, the volume inside th syrinv]g egets decreased enough to increase the pressure on it. This is how the liquid medicine is injected inside a human body.

Now consider the opposite mechanism when a syringe is filled up with the medicine. When the plunger is pulled, the volume of the liquid inside the syringe is increased and it reduces the pressure o it., this enables a person to fill it up with the drug dose. You can check the relative pressure and volume of the fluid by using this best Boyle’s law calculator.

Storing a gas:

When we store a gas in a small container, it is pressurized to enter the chamber of it. At tis time the volume is decreased enough. And when the gas is released out of the chamber, th eprocess gets reversed, following the Boyle’s law in general.

Carnot Heat Engine:

This kind of engine do follow the Boyle’s law of volume and pressures to attach the thermodynamics. This is because four processes occur in the engine at the same time, out of which two are isothermal ones. Moreover, the free Boyle’s law calculator can also sort out how much pressure and volume changings occur in this engine.

Boyle’s Law Example Problems:

In this section of the read, we will resolve an example so as to clarify your concept regarding pressure and volume calculations. Let’s move on!

Example # 01:

How to find final pressure of a gas enclosed in a certain container with following parameters given:

\(P_{1}\) = 34Pa
\(V_{1}\) = 2\(m^{3}\)
\(V_{2}\) = 5\(m^{3}\)

Solution:

Here we have the pressure volume equation as follows:

$$ P_{2} =\frac{P_{1}*V_{1}}{V_{2}} $$

$$ P_{2} =\frac{34*2}{5} $$

$$ P_{2} =\frac{68}{5} $$

$$ P_{2} = 13.6Pa $$

How Boyle’s Law Calculator Works?

Let’s have a look at the working operation of this free pressure of gas calculator that finds relationship among gas particles in an isothermal process! Keep reading!

Input:

  • From the first drop-down list, select which gas-related [parameter you wish to determine
  • After you do that, go for entering all the required parameters in their designated fields
  • Do not forget to select the unit against each parameter
  • After you are done, hit the calculate button to check validity of Boyle’s law

Output:

The free pressure volume calculator does the following calculations and display them on your screen:

Initial volume and pressure
Final volume and pressure
Temperature of gas
Amount of moles in the gas present

FAQ’s:

Why does volume decrease when pressure increases?

When a certain amount of pressure is applied on the gas, its particles get close to one another. This decreases the overall volume of it while

enhancing the pressure applied. You can also check it by using thus Boyle’s law calculator in seconds.

How does temperature affect pressure?

When yoiu increase the temperature, the molecules of the gas collide with the walls sof the container very strongly,m thereby increasing the

pressure on the walls. That is why the temperature has a direct relationship with the pressure of the gas.

Is low pressure hot or cold?

A low pressured air is always warm. On the other hand, the cold air is always pressurized tha that of the warm one. You can also verify it by using

this free Boyle’s law calculator.

Does heat increase volume?

Yes, of course! According to Charle’s law, increasing the temperature of the gas will enhance its molecules’ speed. This is because they are spr

ead apart speedly and increase the final volume. You can understand this kind of relationship by using the Charle’s law calculator.

What is the pressure law?

The pressure law is actually the Gay-Lussac’s law that states:

“If the volume and mass of an ideal gas are kept constant, then applied temperature will be directly proportional to the pressure exerted on the chamber”

What happens to the volume when the pressure doubles?

When the pressure of the gas os increased to double of otis original value, the volume becomes half. You can also check it by using this free Boyle’s law calculator .

Conclusion:

Boyle’s law is very important because it lets you know how gases actually act like when they are compressed or relaxed. Being involved in various real world phenomena, this law is of great importance to study the relationship between volume and pressure when temperature is kept constant. This is why we have designed this Boyle’s law calculator to study this bond between gas molecules.

References:

From the source of Wikipedia: Gas laws, Gay-Lussac’s law, Ideal gas laws, Boyle’s law, Human breathing system

From the source of Khan Academy: Kinetic molecular theory, Non-ideal gas behavior

From the source of Lumen Learning: Gas Laws, Gay-Lussac’s law, Applications, Gas Mixtures