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

One of the reactions that occurs in a blast furnace, where iron ore is converted to cast iron, is$$\mathrm{Fe}_{2} \mathrm{O}_{3}+3 \mathrm{CO} \longrightarrow 2 \mathrm{Fe}+3 \mathrm{CO}_{2}$$Suppose that $1.64 \times 10^{3} \mathrm{kg}$ of Fe are obtained from a $2.62 \times 10^{3}-\mathrm{kg}$ sample of $\mathrm{Fe}_{2} \mathrm{O}_{3}$. Assuming that the reaction goes to completion, what is the percent purity of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ in the original sample?

The purity of the $\mathrm{Fe} 203$ is $89.3 \%$

Chemistry 101

Chapter 3

Mass Relationships in Chemical Reactions

Chemical reactions and Stoichiometry

University of Central Florida

Rice University

University of Toronto

Lectures

04:02

A chemical reaction is a process that leads to the transformation of one set of chemical substances to another. Chemical reactions can be either spontaneous, requiring no input of energy, or non-spontaneous, typically following the input of some type of energy, such as heat, light or electricity. Chemical reactions are usually characterized by a chemical change, and they yield one or more products after the reaction is complete. Chemical reactions are described with chemical equations, which symbolically present the starting materials, end products, and sometimes intermediate products and reaction conditions. Chemical reactions happen at a characteristic reaction rate at a given temperature and chemical concentration. Typically, reaction rates increase with increasing temperature because there is more thermal energy available to reach the activation energy necessary for breaking bonds between atoms.

08:02

In chemistry, a combination reaction is a chemical reaction in which two or more reactants combine to form more than one product. In a decomposition reaction, one reactant splits into two or more products.

03:21

One of the reactions that …

01:44

An iron ore sample contain…

02:28

01:01

An important reaction that…

03:56

Iron ore is impure $\mathr…

02:16

From a $45.0-\mathrm{g}$ s…

surfer. This probably want to find the percent purity of F E 03 in some sample, given some reaction that occurs in a blast furnace. So we know that 1.64 times 10 to the three kilograms of iron are obtained from a 2.62 times 10 to the three kilogram sample of every two or three. So this quantity will have some other things other than every two or three. We want to find how much of that is actually within the sample. The first thing that we want to do. We want to actually find the molar mass of Effie to or three so we can do some basic dimensional calculations with this. So you have to iron atoms, each of which are 55 0.85 and then we have three oxygen, each of which 16.0. And so when you multiply that through, we'll get that the molar mass that we're dealing with 1 59 0.70 grams promote. So the next thing that we want to dio is you want to convert kilograms of Effie into kilograms of Effie 203 to find how much of that sample is actually pure. And how much, Effie Oath, Every two or three it actually contains. We're gonna start with 1.64 times 10 to the three kilograms of Effie. So you want to convert this into grams? And now we want to divide by the molar math, the atomic massive iron so that we can get moles of iron and then do some dimensional analysis. So we know that 30 55 0.5 grams per one mole of iron now for the multiple ratio. Well, if you look at every two or three, we know that there's to Iran Adams in the entire compound. So to make one mole of every two or three, you're gonna need two moles volume and then just multiply by. The more math would you calculate to be 1 59.7 grams from all and then finally, you want to divide by 1000 so we get our finally answer and kilograms, which we get to be 2.3 for five times 10 to the three kilograms of Effie to there are three. So this is how much they're actually was of effort to with three in our original sample, and now we can find that security because we have that the amount of after two or three in that substance it was two point before five times sending three kilograms, and we know that our initial sample had a mass of 2.62 times 10 to the three kilogram, and then we'll play all that by 100%. We get that are percent, purity is 89 0.5% and that is the final answer.

View More Answers From This Book

Find Another Textbook

Numerade Educator

06:12

The carat is the unit of mass used by jewelers. One carat is exactly $200 \m…

05:34

Balance the following redox equations by the ionelectron method:(a) $\ma…

01:21

The resonance concept is sometimes described by analogy to a mule, which is …

03:36

The radioactive $\mathrm{Co}-60$ isotope is used in nuclear medicine to trea…

01:26

A $6.11-\mathrm{g}$ sample of a $\mathrm{Cu}-\mathrm{Zn}$ alloy reacts with …

23:47

Lysine, an essential amino acid in the human body, contains $\mathrm{C}, \ma…

00:59

Consider the halogens chlorine, bromine, and iodine. The melting point and b…

06:38

The rate at which tree crickets chirp is $2.0 \times 10^{2}$ per minute at $…

04:21

A $5.00 \times 10^{2}-\mathrm{mL}$ sample of $2.00 \mathrm{M} \mathrm{HCl}$ …

03:00

Without consulting Appendix $3,$ predict whether the entropy change is posit…