BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

An ideal gas expands at constant pressure. (a) Show that PΔ V = nRΔT. (b) If the gas is monatomic, start from the definition of internal energy and show that Δ U = 3 2 Wenv, where Wenv is the work done by the gas on its environment. (c) For the same monatomic ideal gas, show with the first law that Q = 5 2 Wenv. (d) Is it possible for an ideal gas to expand at constant pressure while exhausting thermal energy? Explain.

(a)

To determine

To show that: P(ΔV)=nR(ΔT) for an ideal gas expands at constant pressure.

Explanation

The ideal gas law is,

PV=nRT

    • P is the pressure of the gas
    • V is the volume of the gas
    • n is the amount of gas in moles
    • R is the universal gas constant
    • T is the absolute temperature

From the ideal gas law,

PiVi=nRTi       (1)

PfVf=nRTf       (2)

When ideal gas expands at constant pressure,

Pi=Pf=P

Thus, equation (1) and (2) gives

PVi=nRT

(b)

To determine

To show that: for a monatomic gas, ΔU=32Wenv .

(c)

To determine

To show that: for a monatomic gas, Q=52Wenv .

(d)

To determine
whether it is possible for an ideal gas to expand at constant pressure while exhausting thermal energy.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Vitamin A supplements can help treat acne. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What are the four most common metric prefixes?

An Introduction to Physical Science

What energy sources on Earth cannot be thought of as stored sunlight?

Horizons: Exploring the Universe (MindTap Course List)

The resistance between terminals a and b in Figure P27.36 is 75.0 . If the resistors labeled R have the same va...

Physics for Scientists and Engineers, Technology Update (No access codes included)