Question

A sample of gas has an initial volume of $26.8 \mathrm{~L}$ at a pressure of $0.86 \mathrm{~atm}$. If the gas is compressed to a pressure of $2.5 \mathrm{~atm}$, what is its volume? (Assume constant temperature.)

Name: Problem 34, Chapter 11: Introductory Chemistry Essentials
Uploaded: 2021-04-10T04:48:09-08:00
Duration: 2 min
Channel: Dr. Satish Ingale
Description: A sample of gas has an initial volume of 26.8 L at a pressure of 0.86 atm. If the gas is compressed to a pressure of 2.5 atm, what is its volume? (Assume constant temperature.)

   A sample of gas has an initial volume of $26.8 \mathrm{~L}$ at a pressure of $0.86 \mathrm{~atm}$. If the gas is compressed to a pressure of $2.5 \mathrm{~atm}$, what is its volume? (Assume constant temperature.)

Introductory Chemistry Essentials

Tro, Nivaldo J. 5th Edition

Chapter 11, Problem 34

Instant Answer

Solved by Expert Dr. Satish Ingale

04/10/2021

Step 1

8 \mathrm{~L}$ and the initial pressure $P_1 = 0.86 \mathrm{~atm}$. The gas is then compressed to a new pressure $P_2 = 2.5 \mathrm{~atm}$. We are asked to find the new volume $V_2$. Show more…

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A sample of gas has an initial volume of $26.8 \mathrm{~L}$ at a pressure of $0.86 \mathrm{~atm}$. If the gas is compressed to a pressure of $2.5 \mathrm{~atm}$, what is its volume? (Assume constant temperature.)

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Key Concepts

Boyle's Law

Boyle's Law is a fundamental principle in the study of gases which states that, at constant temperature, the pressure of a given amount of gas is inversely proportional to its volume. This means that as the pressure increases, the volume decreases proportionally, and vice versa, provided the temperature remains unchanged.

Isothermal Process

An isothermal process refers to a thermodynamic process in which the temperature of the system remains constant. In the context of gas behavior, this implies that any compression or expansion occurs without a change in temperature, making Boyle's Law applicable.

Inverse Proportionality

Inverse proportionality is a mathematical relationship where one quantity increases as the other decreases. In the scenario of gas compression under constant temperature, this concept explains how an increase in pressure results in a decrease in volume, ensuring that the product of pressure and volume stays constant.

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