Question

A sample of gas has an initial volume of $3.95 \mathrm{~L}$ at a pressure of $705 \mathrm{~mm} \mathrm{Hg}$. If the volume of the gas is increased to $5.38 \mathrm{~L}$, what is the pressure? (Assume constant temperature.)

Name: Problem 33, Chapter 11: Introductory Chemistry Essentials
Uploaded: 2021-04-05T07:56:47-08:00
Duration: 2 min
Channel: Shazia Naz
Description: A sample of gas has an initial volume of 3.95 L at a pressure of 705 mm Hg. If the volume of the gas is increased to 5.38 L, what is the pressure? (Assume constant temperature.)

   A sample of gas has an initial volume of $3.95 \mathrm{~L}$ at a pressure of $705 \mathrm{~mm} \mathrm{Hg}$. If the volume of the gas is increased to $5.38 \mathrm{~L}$, what is the pressure? (Assume constant temperature.)

Introductory Chemistry Essentials

Tro, Nivaldo J. 5th Edition

Chapter 11, Problem 33

Instant Answer

Solved by Expert Shazia Naz

04/05/2021

Step 1

This relationship is described by Boyle's law, which states that the volume of a given amount of gas is inversely proportional to its pressure. Mathematically, this can be expressed as $P_1V_1 = P_2V_2$, where $P_1$ is the initial pressure, $V_1$ is the initial Show more…

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A sample of gas has an initial volume of $3.95 \mathrm{~L}$ at a pressure of $705 \mathrm{~mm} \mathrm{Hg}$. If the volume of the gas is increased to $5.38 \mathrm{~L}$, what is the pressure? (Assume constant temperature.)

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Key Concepts

Boyle's Law

Boyle's Law is a fundamental principle in gas behavior which states that for a given amount of gas at constant temperature, the pressure and volume of the gas are inversely proportional. This means that if the volume increases, the pressure decreases proportionately, and vice versa. It is mathematically expressed as P1V1 = P2V2.

Isothermal Process

An isothermal process is one in which the temperature of the system remains constant. In the context of gas behavior, when the temperature is kept constant, any changes in volume directly affect the pressure according to Boyle's Law, without any complication from temperature changes.

Inverse Proportionality

Inverse proportionality is a relationship between two variables in which one variable increases as the other decreases. In the case of gases at constant temperature, this means that increasing the volume of the gas results in a decrease in pressure, and the product of pressure and volume remains constant.

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