A gas occupies 4.31 L at a pressure of 0.755 atm. Determine the volume if the pr...

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AleiaGail @AleiaGail

September 2022 1 4 Report

A gas occupies 4.31 L at a pressure of 0.755 atm. Determine the volume if the pressure is increased to 1.25 atm.

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Tokamak

Given:

$P_{1} = \text{0.755 atm}$

$V_{1} = \text{4.31 L}$

$P_{2} = \text{1.25 atm}$

Required:

$V_{2}$

Strategy:

This is a gas law problem. What gas law should we use?

Since the given quantities are pressure and volume, we will use Boyle's law. According to this gas law, the pressure of a gas is inversely proportional to its volume keeping the amount of gas and its temperature constant.

The formula used for Boyle's law is

$\boxed{P_{1}V_{1} = P_{2}V_{2}}$

where:

$P_{1} = \text{initial pressure}$

$V_{1} = \text{initial volume}$

$P_{2} = \text{final pressure}$

$V_{2} = \text{final volume}$

Solution:

Starting with the formula of Boyle's law

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

Dividing both sides of the equation by P₂ to solve for V₂

$V_{2} = V_{1} \times \dfrac{P_{1}}{P_{2}}$

Substituting the given values and solving for V₂

$V_{2} = \text{4.31 L} \times \dfrac{\text{0.755 atm}}{\text{1.25 atm}}$

Therefore, the final volume is

$\boxed{V_{2} = \text{2.60 L}}$

Answer:

$V_{2} = \text{2.60 L}$

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16 votes Thanks 28

AleiaGail Thank you

Tokamak You're welcome.

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