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1.Recall that the coeffcients in a balanced
equation can represent:
1. The number of atoms/molecules
2.The number of moles of atoms/molecules
OHCOOCH 2224 22
1 mol of CH4 molecules
2 mols of O2 molecules
1 mol of CO2 molecules
2 moles of H20 molecules
2. For our purpose,
the mole is a more
practical quantity to
use.
3. From a balanced
equation, such as,
4. it is possible to obtain
mole ratios relating:
1. Reactants to
Reactants
2. Reactants to
Products
3. Products to Products
OHOOH 2222 22
E.g. Hydrazine (N2H4) and hydrogen peroxide
(H2O2) are used for rocket fuel and combine
to produce N2 and H2O gas plus a large
amount of energy according to:
OHNOHHN 222242 42 If it produces a large amount of energy what type
of reaction is this???
The standard method of solving this is using
unitary rates or factors:
OmolesH212OmolesH
HmolesN
2
42
4
1
423 HmolesN
*Think this through in terms of the equation we just
saw... Does this make sense???
OHNOHHN 222242 42
X3 = 12X3 = 3
4.76 moles of H2O2 produces how many moles of water?
2276.4 OmolesH22
2
2
2
OmolesH
OmolesH OmolesH276.4
OHOOH 2222 22
1.The mole ratio used must come from the
balanced chemical equation.
2. In the mole ratio, the quantity that you want to
find goes in the numerator (e.g. 1 mole N2H4).
1. Balancing the equation
2. Mass to Mole Conversions
3. Mole to Mass Conversions
4. Mole Ratios from a balanced equation
E.g. How many grams of water will be produced
when 5.00 moles of hydrogen react with
sufficient oxygen?
Note: If the other reactants are not
mentioned then it’s assumed that there is
enough for the reaction to go to completion.
1) Write the balanced chemical equation.
2) Write in the given information.
OHOH 222 22
OHOH 222 22 5.00 mol
??? g
Moles
underground
Mass
Above
3) Set up a flow diagram for the steps
needed.
4) Perform the appropriate operations.
OHOH 222 22 5.00 mol
??? g
??? mol
Note: Each arrow is a calculation--- doing unit analysis the unit you are
going “from” goes on the bottom, and the unit you are going “to” goes
on the top!
200.5 molH2
2
2
2
molH
OmolH
OmolH
g
21
02.18 OgH21.90
1 mole of any gas at at STP (Standard
Temperature and Pressure)… has a
volume of 22.4 L.
Eg. What is the volume occupied by 0.350mol
of SO2 at STP?
#L = 0.350mol x 22.4L = 7.84L1 mol
50.0𝐿𝐶𝑂2 ×1𝑚𝑜𝑙𝐶𝑂
2
22.4𝐿𝐶𝑂2
×4𝑚𝑜𝑙 𝐻
2𝑂
3𝑚𝑜𝑙𝐶𝑂2
×18.02𝑔 𝐻
2𝑂
1𝑚𝑜𝑙𝐻2𝑂
= 53.6g H2O
C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(l)
??? g50 L
mol CO2mol H2O
Consider this reaction…
𝟒𝑵𝑯𝟑 𝒈 + 𝟓𝑶𝟐 𝒈 𝟔𝑯𝟐O(g) +𝟒𝑵𝑶 𝒈
a) What mass of NO is produced when 2.00
mol NH3 are reacted?
b) What mass of H2O is produced when
4.00mol O2 are reacted?
c) What volume of NH3(g) at STP is required to
produce 0.750mol H2O(g) ?
a. 60.02gNO
b. 86.5g H2O
c. 11.2 L NH3(g)
1) Write the balanced chemical equation.
2) Write in the given information.
OHOH 222 22
OHOH 222 22 ??? mol
100.0g
Moles
Here
Masses
Here
3) Set up a flow diagram for the steps
needed.
4) Perform the appropriate operations.
OHOH 222 22
??? mol
100.0 g
??? mol
Note: Each arrow is a calculation---
20.100 gO2
2
00.32
1
gO
molO
2
2
1
2
molO
OmolH OmolH2250.6
1) Write the balanced chemical equation.
2) Write in the given information.
OHOH 222 22
OHOH 222 22
??? g 400.0g
Moles
Here
Masses
Here
3) Set up a flow diagram for the steps
needed.
4) Perform the appropriate operations.
OHOH 222 22 ??? mol
400.0 g
??? mol
OgH20.400OgH
OmolH
2
2
02.18
1 OmolH220.22
??? g
2
2
1
02.2
molH
gH
284.44 gH
OmolH
molH
2
2
2
2 220.22 molH
You can think of the mole as
being a “bridge” between any
unit for a single reactant/
product or between
reactant/product...
Moles and mass› Molecular/ Molar Mass
From the periodic table
Mass of ONE MOLE!!!
Moles and Molecules› Avagadro’s number
Items in ONE MOLE!!!
Moles and Volume (more on these soon)› Concentration of solutions
› Molar volume of gases The moles in ONE LITER!!!
Moles and Moles› Mole Ratio
From the BALANCED CHEMICAL EQUATION!!!
mol
g
molatomsmolecules
1/1002.6 23
Lmol1
molBmolA
A student wants to put 50.0L of Hydrogen gas at STP into a plastic bag by reacting excess aluminum metal with 3.00 Molar (mol/L) Sodium Hydroxide…
2Al(s) + 2NaOH(aq) + 2H2O(l) 2NaAlO2 + 3H2(g)
What volume of NaOH solution is required?
Answer: 0.496L NaOH