A gas expands at constant pressure from 3.00 L at 15.0^∘ C until the volume is 4.00 L. What is

Name: Problem 74, Chapter 19: University Physics with Modern Physics
Uploaded: 2021-05-16T14:38:22-08:00
Duration: 1 min 17 s
Channel: Ajay Singhal
Description: A gas expands at constant pressure from 3.00 L at 15.0^∘ C until the volume is 4.00 L. What is the final temperature of the gas?

step 1 A gas is expanding at constant pressure. So we have pressure p equals to constant and the initia

Question

A gas expands at constant pressure from $3.00 \mathrm{~L}$ at $15.0^{\circ} \mathrm{C}$ until the volume is $4.00 \mathrm{~L}$. What is the final temperature of the gas?

   A gas expands at constant pressure from $3.00 \mathrm{~L}$ at $15.0^{\circ} \mathrm{C}$ until the volume is $4.00 \mathrm{~L}$. What is the final temperature of the gas?

University Physics with Modern Physics

Wolfgang Bauer, Gary… 2nd Edition

Chapter 19, Problem 74

Instant Answer

Solved by Expert Ajay Singhal

05/16/2021

Step 1

This means that the pressure P is constant. The initial volume $V_{initial}$ is given as $3.00 \, L$ and the initial temperature $T_{initial}$ is given as $15.0^{\circ}C$, which is equal to $288 \, K$ (since we add $273$ to convert from Celsius to Kelvin). The Show more…

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A gas expands at constant pressure from $3.00 \mathrm{~L}$ at $15.0^{\circ} \mathrm{C}$ until the volume is $4.00 \mathrm{~L}$. What is the final temperature of the gas?

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Key Concepts

Isobaric Process

An isobaric process is one in which the gas expands or compresses while the pressure remains constant. This concept is crucial for analyzing how other state variables, like volume and temperature, change when the pressure does not vary, as seen in many thermodynamic problems.

Charles's Law

Charles's Law states that at constant pressure, the volume of an ideal gas is directly proportional to its absolute temperature. This means that if the volume increases, the temperature must also increase proportionally, provided the pressure remains fixed.

Absolute Temperature (Kelvin Scale)

Using the absolute temperature scale, Kelvin, is essential in gas law calculations because the proportional relationships between temperature and volume or pressure are based on an absolute scale. Converting from Celsius to Kelvin ensures the accuracy of these relationships in computations.

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