Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Use Equation (5.9) to derive all the gas laws.

$$\frac{P_{1} V_{1}}{n_{1} T_{1}}=\frac{P_{2} V_{2}}{n_{2} T_{2}} \Rightarrow \frac{D_{1} V_{1}}{n_{1} Y_{1}}=\frac{D_{1} V_{2}}{n_{2} T_{1}}=\frac{V_{1}}{n_{1}}=\frac{V_{2}}{n_{2}}$$

Chemistry 101

Chapter 5

Gases

University of Central Florida

Rice University

Drexel University

Lectures

05:03

In physics, a gas is one of the three major states of matter (the others being liquid and solid). A gas is a fluid that does not support tensile stress, meaning that it is compressible. The word gas is a neologism first used by the early 17th-century Flemish chemist J.B. van Helmont, based on the Greek word ("chaos"), the simplest of all the elemental forms of matter.

04:46

In physics, thermodynamics is the science of energy and its transformations. The three laws of thermodynamics state that energy can be exchanged between physical systems as heat and work; that the total energy of a system can be calculated by adding up all forms of energy in the system; that energy spontaneously flows from being localized to becoming dispersed, spread out, or uniform; and that the entropy of an isolated system not in equilibrium will tend to increase over time, approaching a maximum value at equilibrium.

00:56

State the equation for the…

01:27

Rewrite the ideal gas law …

04:05

State the following gas la…

02:32

What gas law combines the …

So we want to derive what I refer to as the named gas laws, namely Boyle's Law, Charles Law and after God, Rose Law from the combined gas law Equation 59 And what I tell my students is that they don't really need to know the's named gas laws because they're all in they combined gas law and any time you're working with a situation where the properties of a gas sample are changed with the pressure volume, bowls or temperature. Ah, and so you have one situation case one in another situation case to what I call the two state case. Ah, you can simply cancel out the things that remain constant. And so, for example, ah, for a sample of gas at a constant temperature that defines Boyle's law and so En and t remain constant and one is equal to end to t one is equal to T two. If you multiply both sides by NT, then you wind up with Boyle's Law. I just tell my students to cancel the things that remain constant or are not mentioned in the question because often, uh, the questions in the back of a chemistry chapter. Don't say something about one or another of the factors and you have to assume it's constant. So a balloon ah, changes temperature. Well, you have to assume the amount of gas in the balloon remains constant and the pressure remains constant. Charles Law. The relationship between volume and temperature is right here. The one over T one is equal to V two over t two and that would be holding again a constant gas sample at constant pressure. Another form of Charles law relates pressure and temperature and likewise pressures in the numerator and temperature is in the denominator. So and then have a god Rose law relates volume and moles at constant temperature and pressure. So if t and P R constant then the one over N one this equal to V two over and to and all of these are direct proportionality. Ease. If the temperature goes up, the volume goes up. If the temperature goes up, the pressure goes up. Obviously, if you put more moles into a balloon, its volume is going to increase those air. All direct relationships here As pressure increases, volume will decrease

View More Answers From This Book

Find Another Textbook

Numerade Educator

01:35

Write the formulas for the following ionic compounds: (a) sodium oxide, (b) …

06:13

Consider the following energy levels of a hypothetical atom:$E_{4}$_____…

04:08

A particular form of electromagnetic radiation has a frequency of $8.11 \tim…

03:04

What is the Stock system? What are its advantages over the older system of n…

00:23

A photon has a frequency of $6.0 \times 10^{4} \mathrm{Hz}$. (a) Convert thi…

02:01

The compounds $\mathrm{Br}_{2}$ and ICl have the same number of electrons, y…

04:38

What factors qualify a compound as a salt? Specify which of the following co…

04:14

What do we mean when we say that two ions or an atom and an ion are isoelect…

03:37

What is the requirement for an element to undergo disproportionation reactio…

01:34

The atomic masses of $_{17}^{35} \mathrm{Cl}\left(75.53 \text { percent) and…