# Boyle's Law Calculator

When it comes to estimating the properties of a gas in an isothermal process, this Boyle's law calculator comes in handy. Boyle's Law Calculator is a free online application that calculates a gas's pressure or volume.

### Boyle's Law - Definition

Boyle's law defines the behaviour of an ideal gas during an isothermal transition, in which the temperature and internal energy of the gas remain constant. The relationship between a gas's pressure and its volume at a constant temperature and mass is described by Boyle's law (also known as Boyle-Mariotte law). The absolute pressure is inversely proportional to the volume, according to this principle.

The product of pressure and volume of a gas in a closed system stays constant as long as the temperature remains constant, according to Boyle's law.

## Boyle’s Law Derivation and Formula

Boyle's law, one of the gas laws in chemistry, asserts that a gas's pressure is inversely proportional to its volume at a constant temperature. Boyle's law, to put it differently, states that volume and pressure are inversely related. The relationship between pressure and volume can be expressed mathematically as

P ∝ (1/V)

Boyle's law provides the formula for calculating the volume of a gas. i.e. P_{1}V_{1} = P_{2}V_{2}

- Where, P
_{1}, P_{2}are the original and final pressures. - V
_{1}, V_{2}are the first and last volumes.

### How to Use Boyle’s Law Calculator?

The following are the steps that describe how to use the Boyle's law calculator and they are as follows

- Enter for the unknown in the input field among pressure, volume.
- To get the pressure or volume, click the Calculate button now.
- Enter the input mass of the substance.
- Eventually, using Boyle's law, the pressure or volume of a gas will be printed in the output field.

### Applications of Boyle's Law in Real Life

**Carnot Heat Engine:** The Carnot Heat Engine is made up of four thermodynamic systems, two of whom are isothermal and so satisfy Boyle's law. This model can inform us who the heat engine's maximum efficiency is.

**Breathing:** Boyle's law can also be used to describe breathing. When you take a breath, your diaphragm and intercostal muscles expand the volume of your lungs, resulting in a reduction in gas pressure. Air enters the lungs as it moves from a higher pressure area to a lower pressure area, allowing us to take in oxygen from the environment. Because the capacity of the lungs decreases during exhalation, the pressure inside the lungs is higher than outside, causing air to move in the opposite direction.

**Gas Storage:** Boyle's Law is presently used in practically every business for the storage of gases in some way. Gases are severely pressured in order to fit into a tiny container, resulting in a reduction in the volume of the gas.For instance, we use deodorants, and the most frequent one is the LPG (Liquefied Petroleum Gas) gas container that we use for cooking.

**Syringe:** When you need to give an injection, a nurse or doctor will first pull a liquid from a vial containing. They use a syringe to do so. The accessible volume is increased as the plunger is pulled, resulting in a decrease in pressure and, according to Boyle's law formula, fluid attraction. For instance, we use deodorants, and the most frequent one is the LPG (Liquefied Petroleum Gas) gas container that we use for cooking.

### Boyle's Law Examples

**Example 1:**

Assume we have a flexible container that holds a gas.The initial pressure is 100 kPa (or 105 Pa in scientific notation), and the container has a capacity of 2 m^{3}. We reduce the volume of the box to 1 m^{3}, but leave the temperature unchanged. How does the gas pressure change?

Solution:

Given that

p₁ = 100 Kpa

V₁ = 2 m³

V₂= 1 m³

Boyle's law formula can be used: p₂ = p₁ * V₁ / V₂ = 100 kPa * 2 m³ / 1 m³ = 200 kPa.

**Example 2:**

Boyle's law involves a gas with a pressure of 2.5 atm and a volume of 6 litres. The pressure is then reduced isothermally to 0.2 atm. Find the final volume?

Solution:

Given that

p₁ = 2.5 atm

p₁ = 0.2 atm

V₁ = 6 l

V₂= ?

Boyle's law equation can be rewritten as such V₂ = p₁ * V₁ / p₂ = 2.5 atm * 6 l / 0.2 atm = 75 l.

### Importance of Boyle's Law

Boyle's law is significant since it was the first to characterise the behaviour of gases. It indicated that gases spread in the medium, meaning that when the pressure is reduced, the volume grows, and when the gas is compressed, the volume shrinks. When the pressure on a certain amount of gas varies, the size of the gas changes inversely proportionally to the pressure, as long as the temperature remains constant.

PV = K is the mathematical equation that describes the law. In chemistry, it has become a fundamental law.

### FAQ’s on Boyle's Law Calculator

**1. In layman's words, what is Boyle's law?**

Boyle's Law is a fundamental chemistry law that describes how a gas behaves when kept at a constant temperature. The rule asserts that at a constant temperature, the volume of a gas is inversely proportional to the pressure exerted by the gas. It was discovered by Robert A. Boyle in 1662.

**2. In Boyle's law, what is 22.4 L?**

Equal quantities of gas at the same temperature and pressure contained the same number of particles, according to Avogadro. Remember that any gas at STP has a volume of 22.4L.

Moles = mass of the substance in grams/molecular weight.

**3. Before solving Boyle's law, how is the equation rearranged?**

The Boyle's law equation can be rearranged to solve for any factor. Divide both sides by P2 to get the answer for V2. The pressure inside the lungs rises. Air travels from the lungs' higher pressure to the outside.

**4. What is the graph of Boyle's Law?**

The PV curve is the curve of Boyle's law. Since the statement states that volume and pressure are inversely related at a fixed temperature, this graph of Boyle's law is not linear but hyperbolic. If a result, as the pressure rises, the volume falls, and vice versa.