Boyle's Law How To Solve

What is Boyle's Police force?

Boyle'south constabulary is a gas police which states that the force per unit area exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied past it. In other words, the pressure and book of a gas are inversely proportional to each other every bit long as the temperature and the quantity of gas are kept constant. Boyle's law was put frontwards by the Anglo-Irish chemist Robert Boyle in the year 1662.

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Formula and Derivation
Examples of Boyle'south Constabulary
Solved Exercises on Boyle'due south Law
Ofttimes Asked Questions – FAQs

Formula and Derivation

Every bit per Boyle's law, whatsoever alter in the volume occupied past a gas (at constant quantity and temperature) will event in a change in the pressure level exerted past information technology. In other words, the product of the initial force per unit area and the initial book of a gas is equal to the product of its final force per unit area and final volume (at constant temperature and number of moles). This police force can be expressed mathematically as follows:

P₁V_one = P_iiV_ii

Where,

P₁ is the initial pressure level exerted by the gas
V_i is the initial volume occupied by the gas
P₂ is the final pressure level exerted by the gas
V_ii is the concluding volume occupied by the gas

This expression can exist obtained from the pressure-volume relationship suggested past Boyle'south constabulary. For a fixed corporeality of gas kept at a constant temperature, PV = k. Therefore,

P₁V₁ = m (initial force per unit area * initial volume)

P₂5_two = k (final pressure * final volume)

∴ P₁V₁ = P₂V₂

This equation can be used to predict the increase in the pressure level exerted by a gas on the walls of its container when the volume of its container is decreased (and its quantity and absolute temperature remain unchanged).

Examples of Boyle's Law

When a filled balloon is squeezed, the volume occupied by the air inside the balloon decreases. This is accompanied past an increase in the pressure exerted by the air on the balloon, equally a consequence of Boyle'south police. As the balloon is squeezed further, the increasing pressure eventually pops it. An illustration describing the increase in pressure that accompanies a subtract in the volume of a gas is provided beneath.

Examples of Boyle's Law

If a scuba diver rapidly ascends from a deep zone towards the surface of the water, the decrease in the force per unit area can cause the gas molecules in his/her body to expand. These gas bubbles can get on to cause damage to the diver's organs and can too effect in death. This expansion of the gas caused by the ascension of the scuba diver is another example of Boyle'due south law. Another similar instance can be observed in the deep-sea fish that die after reaching the surface of the h2o (due to the expansion of dissolved gasses in their blood).

Solved Exercises on Boyle's Law

Do ane

A stock-still corporeality of a gas occupies a book of 1L and exerts a force per unit area of 400 kPa on the walls of its container. What would be the pressure exerted by the gas if it is completely transferred into a new container having a volume of 3 liters (assuming the temperature and quantity of gas remains abiding)?

Given,

Initial volume (5₁) = 1L

Initial pressure level (P₁) = 400 kPa

Final volume (5_ii) = 3L

As per Boyle'southward law, P₁V₁ = P₂V₂ ⇒ P_two = (P₁V_i)/Five₂

P_ii = (1L * 400 kPa)/3L = 133.33 kPa

Therefore, the gas exerts a pressure of 133.33 kPa on the walls of the 3-liter container.

Exercise 2

A gas exerts a pressure of 3 kPa on the walls of container one. When container ane is emptied into a 10-liter container, the pressure exerted by the gas increases to half dozen kPa. Find the volume of container ane. Assume that the temperature and quantity of the gas remain abiding.

Given,

Initial pressure level, P₁ = 3kPa

Final pressure level, P₂ = 6kPa

Final volume, V₂ = 10L

According to Boyle's police force, V_ane = (P₂V₂)/P₁

V₁ = (6 kPa * 10 L)/3 kPa = xx L

Therefore, the volume of container 1 is 20 L.

Oftentimes Asked Questions – FAQs

How does Boyle's law work?

Boyle'southward law is a gas law that states that a gas'southward pressure level and volume are inversely proportional. When the temperature is kept constant, every bit volume increases, pressure falls and vice versa.

Why is Boyle law important?

Boyle'south law is meaning because it explains how gases behave. Information technology proves beyond a shadow of a doubt that gas pressure and book are inversely proportional. When you utilize force per unit area on a gas, the volume shrinks and the pressure level rises.

What is the formula for Boyle's gas law?

The empirical relation asserts that the force per unit area (p) of a given quantity of gas changes inversely with its volume (v) at abiding temperature; i.e., pv = yard, a abiding, as proposed by physicist Robert Boyle in 1662.

What is a good instance of Boyle'southward Constabulary?

A balloon is a practiced case of Boyle's law in action. The balloon is inflated by bravado air into information technology; the pressure level of the air pulls on the safety, causing the balloon to expand. When one end of the balloon is compressed, the pressure within rises, causing the un-squeezed section of the balloon to expand outward.

Can Boyle's police be experimentally proven?

Boyle'south law is a connection between pressure and volume. Information technology asserts that under abiding temperature, the pressure of a specific quantity of gas is inversely proportional to its volume. Information technology is possible to prove the law empirically. The paper discusses a syringe-based experimental approach for verifying the law.

What is Boyle's law?

Boyle's constabulary is a gas law given by the Anglo-Irish chemist Robert Boyle in 1662. He stated that the pressure exerted past a gas is inversely proportional to the volume occupied by it at a constant mass and temperature.

What is the relationship betwixt pressure and volume?

The pressure and volume are inversely proportional to each other under Boyle's law.
P ∝ (1/5)

Why does volume decrease when pressure is increased?

Volume decreases with increasing pressure because the gas particles come close to each other with increasing pressure level. Similarly, volume increases with decreasing pressure because the gas particles go far away from each other with decreasing pressure.

What happens to pressure level if the volume is doubled?

For a fixed mass of gas at a abiding temperature, pressure is inversely proportional to book. If the volume is doubled, the pressure will be halved.

Why Boyle'south law is not applicable at high pressure?

Boyle's law applies to depression pressure level and not at high pressure considering gases behave like platonic gas at high pressure level.

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