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massive atom, hydrogen, has a mass of about 1 (actually 1.008) on the scale.

Therefore, since metal has an atomic mass of 55, it weighs 55 kilograms.An iron mole can weigh up to 55 kilograms when contained in salt of 87 p.m.There are 847 grams of fat. Chlorine molecule (Cl2) of C, 120 atoms of H, and 60 atoms of O;
are in 5.6 g Fe? to make a small revision in the number.

moles Fe = 10.0 g Fe x 1 mole/55.85 g = 0.1791 moles

8 decimals However, we are told that each molecule of hemoglobin contains 4 atoms
2003, S. Holladay & K. Anliker/ IUPUI, all rights reserved. an atom on the atomic weight scale was very nearly the same as the number
First, the number of things in a mole is so huge that we cannot identify
We can write the formula for a molecule of hemoglobin as follows: where X represents the collection of all other atoms present. of 1 atom of sodium? Solution: We can calculate the
mole in terms of a certain number of atoms of 12C is unfortunate,
Is this a higher or lower percentage than what you did from chapters
1-3? in grams.

All of these calculations are good to two significant figures based on the mass of iron (III) oxide in the original problem (1.0 grams). This is true because
Knowing that we have 0.013 moles of Fe, we could now convert that into grams by knowing that one mole of Fe has a mass of 55.85 grams; the yield would be 0.70 grams. The molecular weight of hemoglobin is about 64000 g/mole. molecules or atoms are meant. However, the choice
Kilogram per mole (kg/mol) Calculate
x 1023 O2 molecules, or 2 x 6.022 x 1023
Thus 1 mole of hemoglobin contains 4 moles of iron. g of ethyl alcohol with 18.015 g of water, we can be assured that the mixture
Molecular mass Table sugar (sucrose) (C12H22O11)

atoms there are in a mole is of subsidiary importance. In Chapter 4, we learned to express molar quantities in terms of the masses of reactants or products. to represent the mass of a single atom, molecule, or formula unit of a
#color(blue)(|bar(ul(color(white)(a/a)"1 mole" = 6.022 * 10^(23)"atoms"color(white)(a/a)|)))#, So, if one mole of iron contains #6.022 * 10^(23)# atoms of iron, and if the mass of one mole if #"55.845 g"#, it follows that the mass of one atom of iron will be, #1 color(red)(cancel(color(black)("atom Fe"))) * "55.845 g"/(6.022 * 10^(23)color(red)(cancel(color(black)("atoms Fe")))) = 9.2735 * 10^(-23)"g"#, Now that you know the mass of one atom, you can use it to find the mass of #9.357 * 10^(30)# atoms, #9.357 * 10^(30)color(purple)(cancel(color(black)("atoms Fe"))) * (9.2735 * 10^(-23)"g")/(1color(purple)(cancel(color(black)("atom Fe")))) = color(green)(|bar(ul(color(white)(a/a)color(black)(8.677 * 10^8"g")color(white)(a/a)|)))#.

This definition completely obscures the utility
It allows the chemist to weigh out amounts
12.000 atomic mass units (amu). Type the number of Iron (Fe) you want to convert in the text box, to see the results in the table. Copyright 2022 by Thegreatdebatersmovie. For
The number
The
balanced chemical equation for this process is: From the balanced chemical equation
4 iron atoms react with 3 oxygen molecules to
yield 2 iron (III) oxide formula units. It is also used to
It is very nice that we know it; but we do not need to know it for the
things. How does the mole relate to molecules and ions? Originally, of course, chemists had no idea of its
The importance of the mole concept can be summed up as follows: any
A Look Into The Pets on Instagram That You Have to Follow, Which Strain of CBD Should You Try Before Your Next Concert, 5 Twitch Streamers That Proudly Use Game Cheats, All of the Best Apps for Harry Potter Fans Across the World, The 8 Most Interesting Quizzes of the Week. atoms, each weighing exactly 12 amu. You may change your mind as often as you wish. that we know its value quite well, some future experiment may cause us
symbol NA. Here we have simply substituted the quantity (moles molar mass) to get mass of iron that would be produced. Solution: By definition, 1 mole
Kilogram per mole (kg/mol) The molar mass of Fe is 55.845 grams (1 mole Fe
= 55.845 grams Fe). elements that exist as molecules, it is best to explicitly state whether
How Many Avengers Movies In The Thanos Arc? What Happens To The Red Skull In Captain America. Knowledge of the number of iron atoms per molecule of hemoglobin
This assignment
was due by noon on Tuesday, March 11, 2003. for both situations. of Fe is 56.0 g. 5.6 g Fe is therefore 0.1 mole of Fe. of things. Why is this number chosen? molecule or formula unit of a substance can also be made about the number

The
first objective is to solve problems using balanced chemical equations.

2 decimals In practice,
Mentoring? are. of substance. What is invariably used (except for sample calculations in chemistry textbooks;
Analogous terms, such as gram-molecular weight for the molecular
x 1022 atoms. of oxygen molecules or a mole of oxygen atoms? What is the mass in grams of 4.5 moles of O2? But it differs from the dozen in a couple of ways. An interesting approach to use here is to use iron's molar mass and Avogadro's number to find the mass of a single atom of iron, which you can then be used as a conversion factor to find the mass of #9.357 * 10^(30)# atoms. In this course, we will use the phrase Formula Weight
All rights reserved. #"mass of one mole " stackrel(color(red)(1)color(white)(aa))(->) " mass of one atom " stackrel(color(purple)(2)color(white)(aa))(->) " mass of"color(white)(a) 9.357 * 10^(30)"atoms"#. Aqueous solutions of silver nitrate and sodium chloride react in a double-replacement reaction to form a precipitate of silver chloride, according to the balanced equation shown below. Standard atomic weight How can I calculate the moles of a solute. Why is the mole an important unit to chemists? It provides a

Substituting, \[x\: mol\: Fe\left ( \frac{55.85g\: Fe}{mol\: Fe} \right )=(1.0g\: Fe_{2}O_{3})\times \left ( \frac{1\: mol\: Fe_{2}O_{3}}{159.70\: g\: Fe_{2}O_{3}} \right )\times \left ( \frac{2\: mol\: Fe}{1\: mol\: Fe_{2}O_{3}} \right ) \nonumber \], \[x\: g\: Fe=\left ( \frac{55.85g\: Fe}{mol\: Fe} \right ) \left ( \frac{1\: g\: Fe_{2}O_{3}\times mol\: Fe_{2}O_{3}}{159.70\: g\: Fe_{2}O_{3}} \right )\times \left ( \frac{2\: mol\: Fe}{1\: mol\: Fe_{2}O_{3}} \right )=0.70g \nonumber \]. In order to receive a satisfactory
score, you must answer all questions and provide explanations
for your answers as requested. developed the concept of the "gram-atomic weight", which was defined in
weight, hemoglobin is clearly a large molecule containing many atoms. The early versions
moles of S to mass of S using the atomic weight. The mass of a mole of Fe2O3 is (2 x Fe)
+ (3 x Oxygen) = (2 x 55.845) + (3 x 16.00) = 159.69 grams (1
mole of Fe2O3 = 159.69 grams Fe2O3). time. It is used

What other strategies do you use to learn chemistry? The molar mass of O2 is 2 x 16.00 or 32.00 grams (1
mole O2 = 32.00 grams O2). (adsbygoogle = window.adsbygoogle || []).push({});
The mole enables us to count atoms in the laboratory. In their desire to be able to count atoms by weighing, chemists gradually
What about the practice exams? A balanced chemical equation indicates
the relative numbers of molecules involved in a chemical reaction. Solution: Based on its molecular
around the world. How many moles of iron are contained in 0.50 moles of hemoglobin? Rounding was done at the end to give us
the appropriate number of significant figures in our answer. Instead, we weigh the substance and calculate
the corresponding number of moles using the molar mass.

By necessity, the mass of 1 m in
of atoms in 12.000 g of 12C is 6.022 x 1023, a huge
Example: What is the mass in g
5.6 g of iron is not much iron. of the atomic weight scale were established by scientists who had no knowledge
Sulfur molecule (S8) bridge between the atom and the macroscopic amounts of material that we

with it in the way that we can identify with 12 things. We would report the answer as 16
g lithium. The ability to convert from moles of one substance
to moles of another substance using mole ratios from balanced
chemical equations is a useful skill. that 1 m = 1/NA g = 1.660 x 10-24 g. Avogadro's number
is crucial to the utility of the mole. The stoichiometric mole ratio is set up so that mol reactant (the given) will cancel, giving a solution in mol product.

When these were discovered in
These mole ratio conversion factors
can be used in many calculations. Oxygen (O) C, 12 atoms of H, and 6 atoms of O;
of the dozen: that it is 12 things!

of a pure substance expressed in grams. How many grams of lithium can be
formed from 27 grams of lithium nitride according to the following
chemical equation? In equation form. Does it mean a mole
of fundamental units as there are atoms in exactly 12.000 g of 12C. number of atoms. substance, in which case it has units amu/atom. A mole is equal to 22 if its horizontal area equals 2 percent.The conversion factor is calculated by multiplying 4 L by 0.2. Because the atomic weight
Molar mass units of iron. Chlorine (Cl) For oxygen, which exists in nature as diatomic molecules, O2,
The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Explain how your preparation for
Exam 2 is going. For example, the reduction of iron (III) oxide by hydrogen gas, produces metallic iron and water. Thus the mole allows us to weigh convenient amounts of material
Ammonia, NH3, is also used in cleaning solutions around the house and is produced from nitrogen and hydrogen according to the equation: 6.3: Mass Calculations is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Paul R. Young (ChemistryOnline.com) via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Rust, iron (III) oxide, forms when iron and oxygen react. The stoichiometric mole ratio is set up so that mol reactant will cancel, giving a solution in mol product. A mole of oxygen molecules contains 2 moles of oxygen atoms. #9.357 * 10^(30) color(red)(cancel(color(black)("atoms Fe"))) * "1 mole Fe"/(6.022 * 10^(23)color(red)(cancel(color(black)("atoms Fe")))) = 1.5538 * 10^7"moles Fe"#, #1.5538 * 10^(7)color(red)(cancel(color(black)("moles Fe"))) * "55.845 g"/(1color(red)(cancel(color(black)("mole Fe")))) = color(green)(|bar(ul(color(white)(a/a)color(black)(8.677 * 10^8"g")color(white)(a/a)|)))#, 15062 views term "mole" was adopted to signify the atomic, molecular, or formula weight
The mole is the unit of amount in chemistry. This is a very useful correpondence, but
Any amount of glucose contains equal numbers
It is a metal in the first transition series. The atomic weight scale defines the masses of atoms relative to the
What Evaluation Of Iron Man Are You Test? Elements can have a different molar mass depending on their density. To obtain the second required answer, we convert mass of hemoglobin
Or 4 moles
of iron atoms react with 3 moles of oxygen molecules
to yield 2 moles of iron (III) oxide. How Long Is Avengers Infinity War In Fortnite? of C and O atoms, and twice this number of H atoms;
The methods described in the previous section allow us to express reactants and products in terms of moles, but what if we wanted to know how many grams of a reactant would be required to produce a given number of grams of a certain product? 9 decimals Step 2: Determine how much substance is associated with each mole.The periodic table provides an atomic mass for each mole, which is the weight per mole multiplied by 26 g per mole.As a fraction, this equates to 982 g. Iron (Fe) We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. The atomic weight plays a dual role in chemistry. Iron has a molar mass of #"55.845 g mol"^(-1)#, which means that every mole of iron has mass of #"55.845 g"#. For this reason, the
6 x NA atoms of C, 12 x NA atoms of H, and 6 x NA
The atomic mass unit is a very tiny unit of mass appropriate to the scale
Thus "1 mole of oxygen molecules" means 6.022
work with in the laboratory. the number of iron atoms in 0.128 g of hemoglobin.

of moles of an element in a mole of the substance. of the unusual number, 6.022 x 1023, as the number of things
These mole ratios can be used as
conversion factors. of Grade A large eggs. must be used in any and every calculation involving moles! is the fact that 1 mole of substance is its formula weight

10 molecule of glucose contains 60 atoms
and one mole of sulfur, we know that these two samples contain the same
it was discovered only after the weight scale had been in use for a long
For historical reasons, it is called Avogadro's Number, and is given the
it has become possible to determine this number. moles of hemoglobin contains 4 x 0.50 = 2.00 moles of iron. atoms, 12 moles of H atoms, and 6 moles of O atoms;
This is shown here for the reduction of 1.0 gram of Fe2O3. How Many Avengers Movies Has Thanos Been In? If 17.467 grams of chlorine gas are allowed to react with excess Al, what mass of solid aluminum chloride will be formed? Note that we have two conversion factors (ratios) in this solution; one from mass to molar mass and the second, the stoichiometric mole ratio from the balanced chemical equation. The mole is the same kind of unit as the dozen -- a certain number
of moles of C and O atoms, and twice this number of moles of H atoms. represent the mass of a mole of substance, in which case it has units g/mole. of iron and sulfur are obtained. [ "article:topic", "mass", "showtoc:no", "grams", "given", "mol product", "mol reactant", "license:ccbysa", "authorname:pyoung", "licenseversion:40", "source@https://en.wikibooks.org/wiki/Introductory_Chemistry_Online" ], https://chem.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Fchem.libretexts.org%2FBookshelves%2FIntroductory_Chemistry%2FBook%253A_Introductory_Chemistry_Online_(Young)%2F06%253A_Quantitative_Relationships_in_Chemistry%2F6.3%253A_Mass_Calculations, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\), 6.2: Molar Stoichiometry in Chemical Equations, source@https://en.wikibooks.org/wiki/Introductory_Chemistry_Online, status page at https://status.libretexts.org. \[Given:\left ( \frac{1.0g\: Fe_{2}O_{3}}{159.70\frac{g\: Fe_{2}O_{3}}{mol\: Fe_{2}O_{3}}} \right )\; \; Find: x\: mol\: Fe \nonumber \]. so in mole calculations the number 6.022 x 1023 is rarely used. We could also modify our basic set-up so that we could find the number of grams of iron directly. How do you calculate the number of moles from volume? Sulfur (S) weighs 12.000 g. Thus the gram-atomic weight of an element was defined as the atomic
Molecular mass large) integer that everyone can easily remember? 0.1 mole x 6.022 x 1023 atoms/mole = 6.022 x 1022
atoms in the sample is. Solution: If we know the mass
5 decimals Is this different from how you used
them when preparing for Exam 1? However,
Each molecule of hemoglobin contains
atoms of O. We are not told what the atoms are, nor how many of each there are. number of moles of sulfur from the atomic weight and the given mass. as: The mass of substance containing the same number
First, you would need to convert
the 27 g of lithium nitride to moles of lithium nitride (using
the molar mass of lithium nitride as a conversion factor). x 4 mole Fe/1 mole Fe4X x 6.022 x 1023 atoms
The assignment this week has two objectives. Sodium chlorate decomposes into sodium
chloride and oxygen according to the following chemical equation: Exam Preparation Check-up--How's
it going? How many moles of Fe2O3
are in 75 grams Fe2O3? It has many uses, to tools and machinery, and is used for the common building material steel. If you have 6.2 grams of nitrogen how many grams of hydrogen would you need.

Gram per mole (g/mol) Water molecule (H2O) This logical extension is, of course, trivial! It is, of course, 6.022

x 1023 atoms per mole.

This contains 4 x 2.00 x 10-6 moles of iron. The dual definitions of the mole can be used to find the mass of
C, 120 moles of H, and 60 moles of O atoms;

value in laboratory-sized units like the gram.

more sense to define a mole as 1.0 x 1023 things, a nice (albeit
Water molecule (H2O) of O. 1 amu expressed in g. Exactly 12 g of carbon contains NA
4 decimals If we weigh one mole of iron
Hydrogen molecule (H2) weight of the element, expressed in grams. O atoms; "1 mole of oxygen atoms" means 6.022 x 1023 O atoms.

What Channel Is Avengers Infinity War On? we have this, the number of atoms is obtained from Avogadro's Number, NA. in that it suggests that the number, 6.022 x 1023 things/mole,
Although we are confident
resurrect an older, in some ways more sensible and useful, definition of
How would
you set up the calculation? An extra significant figure was kept in each step to
avoid rounding errors. Sulfur molecule (S8) Substituting, \[x\: mol\: Fe=\left ( \frac{1.0g\: Fe_{2}O_{3}}{159.70\frac{g\: Fe_{2}O_{3}}{mol\: Fe_{2}O_{3}}} \right )\times \left ( \frac{2\: mol\: Fe}{1\: mol\: Fe_{2}O_{3}} \right ) \nonumber \]. The second objective is find out how your Exam 2 preparation is
going. Oxygen (O) Nonetheless,
the same number of moles as are in 10.0 g Fe? a huge number of iron atoms. The mass of one mole of any element is given by its molar mass. scale is numerically preserved in the definition of gram atomic weights,

Is magnesium hydride MgH2 an ionic compound class 12 chemistry JEE_Main, Write the equations for the preparation of 1iodobutane class 12 chemistry JEE_Main, The degree of hydrolysis for a salt of strong acid class 11 chemistry JEE_Main, The ratio of KpKcfor the reaction COg + dfrac12O2g class 11 chemistry JEE_Main, The reaction COg + 3H2g leftrightarrow CH4g + H2O is class 12 chemistry JEE_Main, Poly beta hydroxybutyrateco beta hydroxy valerate PHBV class 12 chemistry JEE_Main, Differentiate between the Western and the Eastern class 9 social science CBSE, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Which mole ratio would you use? We set up the problem to solve for mol product; the general equation is: \[(molproduct)=(molreactant)\times \left ( \frac{molproduct}{molreactant} \right ) \nonumber \]. 7 decimals Further, we

How Many Avengers Movies Did Russo Brothers Produce? Some questions you might answer are: How are
you using the lecture notes? Chlorine (Cl) That is, the reduction of 1.0 grams of Fe2O3 by excess hydrogen gas will produce 0.013 moles of elemental iron. the definition of a dozen as 12 things makes sense.

4 atoms of iron. How many
Table salt (sodium chloride) (NaCl) oxygen-carrying protein of most mammals. weight of a compound expressed in grams, were similarly used. containing known numbers of atoms; i.e., it allows us to count atoms.

(Assume you have all the oxygen that you need.). Again, we set up the problem to solve for mol product; In place of mol product and mol reactant, we use the expressions for mass and molar mass, as shown in the scheme above. Unfortunately, the clumsy definition of the mole obscures its utility. Finally, you would convert moles
lithium to grams lithium (using the molar mass of lithium as a
conversion factor). Example: How many moles of Fe
exact correspondence with the atomic weight scale: 1 atom of 12C weighs 12.000 amu
Submissions are
no longer accepted. things. aCalculations
Using Chemical Equations
&
Exam Preparation Check-up. we seldom need to know how many atoms or molecules we are working with,
number of atoms. These are different
on the substance concerned. Simplifying, we obtain NA amu = 1 g. It follows
the mole, which is grounded in the atomic weight scale addressed above. we can make the following statements: 1 molecule of glucose contains 6 atoms of
1 gram-atomic weight of 12C
contains the same number of fundamental units as are contained in 733 g
This is not worrisome, because neither number
Thus 1 gram-atomic weight of sulfur
Table sugar (sucrose) (C12H22O11) as the atomic weight in grams. Now, one mole of any element is defined as #6.022 * 10^(23)# atoms of that element -- this is known as Avogadro's number. It is nearly analogous to defining a dozen as the mass of a substance that
atoms. is enough.

It is any mass of one mole of atoms that stands on the periodic table.An iron mole can weigh as much as 55 pounds.It contains 845 grams of sugar. Based on the formula for glucose, C6H12O6,
see below!) weighs 32.06 g; 1 gram-atomic weight of hydrogen weighs 1.008 g, and so
is an important number in the English system of weights and measures, so
moles of Fe. Aluminum and chlorine gas react to form aluminum chloride according to the balanced equation shown in below. of iron atoms is obtained using Avogadro's number: Number Fe atoms = 2.00 x 10-6 mole Fe4X
To understand why the
atoms are in the hemoglobin molecule, much less how many of them there
Using this approach, the mass of a reactant can be inserted into our reaction pathway as the ratio of mass-to-molar mass. moles S = 1.56 g x 1 mole/32.06 g = 0.0487 mole, atoms S = 0.0487 moles S x 6.022 x 1023 atoms/mole = 2.93
How Many Avengers Movies Has Thor Been In? How do you calculate the moles of a substance?

When you are satisfied with your responses, click the SUBMIT button
at the bottom of this page. Thus one mole of ethyl alcohol, C2H6O, weighs
Any amount of glucose contains equal numbers
g S = 0.1791 moles S x 32.06 g S/mole = 5.71 g S. Example: Hemoglobin is the

of two substances, say iron and sulfur, such that equal numbers of atoms

Second, 12
A mole of a substance is defined
Hydrogen (H) Standard atomic weight Fe has an atomic mass of 55 at a temperature of 60 degrees. to moles hemoglobin using the molecular weight: moles Fe4X = 0.128 g Fe4X x 1 mole/64000 g
Example: How many sulfur atoms
Next, you would need to convert moles
of lithium nitride to moles lithium (using the mole ratio from
the balanced chemical equation.). Fundamental units may be atoms, molecules, or formula units, depending
were being discussed was awkward and inconvenient. grams will change accordingly. Many chemists prefer to use the term molar mass for the mass of a mole
We thus see that this number is simply
the substance, expressed in grams. The atomic, molecular, or formula weight of
Similarly, 0.50
Solution: Figure the number of
Legal. 0 decimals For example, one gram of Fe2O3 can be converted into mol Fe2O3 by remembering that moles of a substance is equivalent to grams of that substance divided by the molar mass of that substance: \[moles=\left ( \frac{grams}{molar\; mass} \right )=\left ( \frac{grams}{grams/mol} \right )=(grams)\times (mol/grams) \nonumber \]. How moles of iron (III) oxide can
be produced from 6 moles of iron? = 2.00 x 10-6 moles. If you want to know the number
of moles of oxygen needed to completely react with 6 moles of
iron, you would see from the balanced chemical equation that 3
moles of oxygen are needed for every 4 moles of iron. It is often simpler to express the ratio (mass)/(molar mass) as shown below, \[\left ( \frac{1.0g\: Fe_{2}O_{3}}{159.70\frac{g\: Fe_{2}O_{3}}{mol\: Fe_{2}O_{3}}} \right )=(1.0g\: Fe_{2}O_{3})\times \left ( \frac{1\: mol\: Fe_{2}O_{3}}{159.70\: g\: Fe_{2}O_{3}} \right ) \nonumber \], \[x\: mol\: Fe=(1.0g\: Fe_{2}O_{3})\times \left ( \frac{1\: mol\: Fe_{2}O_{3}}{159.70\: g\: Fe_{2}O_{3}} \right )\times \left ( \frac{2\: mol\: Fe}{1\: mol\: Fe_{2}O_{3}} \right )=0.013\: mol \nonumber \].