Moles and Molar Quantities in Chemistry

 
 
 
 
Number of protons, which is unique to that element is
atomic number
 
The mass number of an elemen
t - 
 the 
sum of
protons plus neutrons 
in the nucleus of an atom
 
 
In chemistry, we calculate and measure the amounts of
substances to use in lab
Like in everyday life
Chemical reactions occur everywhere
Simple or complex
All can be written with chemical equations
Reactants and products
 
 
In grocery store we use certain scale for food
Dozen (eggs), case (soda), gross (pencils) ream
(paper)
Example
: dozen eggs = 12 eggs
 
Mole
 
In chemistry, particles such as atoms, molecules, and ions are counted
by the mole, which contains 
6.02 x
 
10
23
 
items.
 
This value, known as Avogadro’s number, is a very big number because
atoms are so small that it takes an extremely large number of atoms to
provide a sufficient amount to weigh and use in chemical reactions.
 
Avogadro’s number is named for Amedeo Avogadro 1776–1856, an
Italian physicist.
 
1 mole of carbon contains 6.02 x
 
10
23
 carbon atoms;
 
1 mole of aluminum contains 6.02 x
 
10
23
 aluminum atoms;
 
1 mole of sulfur contains 6.02 x
 
10
23
 sulfur atoms
 
Avogadro’s number tells us that one mole of a
compound contains 6.02 x10
23
 of the particular type
of particles that make up that compound.
 
1 mole of an element = 
6.02 x
 
10
23
 
atoms of
that element
 
 
One mole of a molecular compound contains
Avogadro’s number of molecules
Example: 1 mole of CO2 contains 
6.02 x
 
10
23
 
molecules
of CO2.
 
Moles of Elements in a Chemical
Formula
 
Subscripts – indicate the number of atoms of each type
of element in the compound
Example
: aspirin (C
9
H
8
O
4
) has 9 carbon atoms, 8
hydrogen atoms and 4 oxygen atoms
Also tells the number of moles of each element in 1
mole of aspirin
9 moles of C atoms, 8 moles of H atoms and 4 moles of
O atoms
 
Moles and Elements in a given formula
 
 
Molar Mass and Calculations
 
Single atom or molecule is too small to weigh
It takes a huge number of atoms or molecules to make
enough of a substance for you to see
Molar mass – quantity in grams that equals the atomic
mass of that element
Example
: carbon has atomic mass of 12.01
1 mole of carbon atoms has a mass of 12.01 g
To obtain 1 mole of carbon atoms we must weigh out
12.01 g of carbon
 
 
 
 
The molar mass of an element is useful to convert
moles of an element to grams, or grams to moles
We can calculate molar mass of a compound
 
Problem 1
 
Li
2
CO
3
Obtain the molar mass of the compound
 
Solution 1
 
1. obtain the 
molar mass 
of each element:
Li= 6.941 g/mol
C= 12.01 g/mol
O= 16 g/mol
 
2. Multiply each molar mass by the number of moles
(subscript) in the formula
3. Calculate the molar mass by adding the masses of
elements
4. Solution: 73.9 
g/mol
 
 
Problem 2
 
Determine the molar mass of the elements:
 
Pt, U, Mg, Mn, Fe, Zn
C, O, N, H, S
Bi, Po, Xe, Rn, Na
 
Solution 2
 
Pt (195 g/mol)
 U (238 g/mol),
Mg (24.3 g/mol),
Mn (55 g/mol),
Fe (56 g/mol),
Zn (65.4 g/mol)
C (12 g/mol),
O (16 g/mol),
N (14 g/mol),
H (1 g/mol),
S (32 g/mol)
Bi (209 g/mol),
Po (210 g/mol),
Xe (131.3 g/mol),
Rn (220 g/mol),
Na (23 g/mol)
 
Problem 3
 
Determine the molar mass of molecules:
 
Ag
3
, N
2
, O
2
, H
2
Mg
2
, S
2
,
 
Solution 3
 
Ag
2
 (2 x 107.9 g/mol= 215.8 g/mol),
N
2
 (2 x 14 g/mol= 28 g/mol),
O
2
 (2 x 16 g/mol= 32 g/mol),
H
2
 (2 x 1 g/mol= 2 g/mol)
Mg
2
 (2 x 24.3 g/mol= 48.6 g/mol),
S
2
 (2 x 32 g/mol= 64 g/mol)
 
Problem 4
 
Calculate the molar masses of compounds:
 
AgNO
3
, NaCl, AgCl, NaNO
3
C
13
H
18
O
2
 
(Ibuprofen)
PtCl
2
(NH
3
)
2
 
(Cisplatin)
C
6
H
12
O
6
 
(Glucose)
Solution 4
 
Single work!
AgNO3 = 107.9 + 14 + 3 x 16= 170 g/mol
NaCl= 23 + 35.4= 58.4 g/mol
AgCl= 107.9 + 35.4= 143.3 g/mol
NaNO3= 23 + 14 + 3 x 16= 85 g/mol
C
13
H
18
O
2
= 13 x 12 + 18 x 1 +2 x 16= 206 g/mol
PtCl
2
(NH
3
)
2
= 195 + 2 x 35.4 + (2 x 14 + 6 x 1)= 299.8 g/mol
C
6
H
12
O
6
= 6 x 13 + 12 x 1 + 6 x 16= 186 g/mol
 
 
 
Conclusions
 
Calculations of molar mass!
 
Assignments
 
Calculate the molar mass of nickel (II) hexahydrate
(NiSO
4
•6H
2
O)
Calculate the molar mass of the hydrates formula unit
NiSO
4
Calculate the molar mass of 
PO
4
H
2
(CH
2
)
12
CH
3
Calculate the molar mass of C
17
H
29
COOH (Linoleic
acid)
Calculate the molar mass of 
C₁₇H₁₉NO₃
 (Morphine)
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Chemistry involves understanding atomic structure, chemical equations, and measurement units like moles. Avogadro's number, elemental composition, and compound formulas play crucial roles in calculating and using substances in chemical reactions. Learn about the significance of mass numbers, moles, and elements in chemical formulas.

  • Chemistry
  • Molar quantities
  • Avogadros number
  • Chemical reactions
  • Elemental composition

Uploaded on Oct 03, 2024 | 0 Views


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  1. Number of protons, which is unique to that element is atomic number The mass number of an element - the sum of protons plus neutrons in the nucleus of an atom

  2. In chemistry, we calculate and measure the amounts of substances to use in lab Like in everyday life Chemical reactions occur everywhere Simple or complex All can be written with chemical equations Reactants and products

  3. In grocery store we use certain scale for food Dozen (eggs), case (soda), gross (pencils) ream (paper) Example: dozen eggs = 12 eggs

  4. Mole In chemistry, particles such as atoms, molecules, and ions are counted by the mole, which contains 6.02 x 1023items. This value, known as Avogadro s number, is a very big number because atoms are so small that it takes an extremely large number of atoms to provide a sufficient amount to weigh and use in chemical reactions. Avogadro s number is named for Amedeo Avogadro 1776 1856, an Italian physicist.

  5. Avogadros number tells us that one mole of a compound contains 6.02 x1023 of the particular type of particles that make up that compound. 1 mole of carbon contains 6.02 x 1023carbon atoms; 1 mole of aluminum contains 6.02 x 1023aluminum atoms; 1 mole of sulfur contains 6.02 x 1023sulfur atoms

  6. 1 mole of an element = 6.02 x 1023 atoms of that element

  7. One mole of a molecular compound contains Avogadro s number of molecules Example: 1 mole of CO2 contains 6.02 x 1023molecules of CO2.

  8. Moles of Elements in a Chemical Formula Subscripts indicate the number of atoms of each type of element in the compound Example: aspirin (C9H8O4) has 9 carbon atoms, 8 hydrogen atoms and 4 oxygen atoms Also tells the number of moles of each element in 1 mole of aspirin 9 moles of C atoms, 8 moles of H atoms and 4 moles of O atoms

  9. Moles and Elements in a given formula

  10. Molar Mass and Calculations Single atom or molecule is too small to weigh It takes a huge number of atoms or molecules to make enough of a substance for you to see Molar mass quantity in grams that equals the atomic mass of that element Example: carbon has atomic mass of 12.01 1 mole of carbon atoms has a mass of 12.01 g To obtain 1 mole of carbon atoms we must weigh out 12.01 g of carbon

  11. The molar mass of an element is useful to convert moles of an element to grams, or grams to moles We can calculate molar mass of a compound

  12. Problem 1 Li2CO3 Obtain the molar mass of the compound

  13. Solution 1 1. obtain the molar mass of each element: Li= 6.941 g/mol C= 12.01 g/mol O= 16 g/mol 2. Multiply each molar mass by the number of moles (subscript) in the formula 3. Calculate the molar mass by adding the masses of elements 4. Solution: 73.9 g/mol

  14. Problem 2 Determine the molar mass of the elements: Pt, U, Mg, Mn, Fe, Zn C, O, N, H, S Bi, Po, Xe, Rn, Na

  15. Solution 2 Pt (195 g/mol) U (238 g/mol), Mg (24.3 g/mol), Mn (55 g/mol), Fe (56 g/mol), Zn (65.4 g/mol) C (12 g/mol), O (16 g/mol), N (14 g/mol), H (1 g/mol), S (32 g/mol) Bi (209 g/mol), Po (210 g/mol), Xe (131.3 g/mol), Rn (220 g/mol), Na (23 g/mol)

  16. Problem 3 Determine the molar mass of molecules: Ag3, N2, O2, H2 Mg2, S2,

  17. Solution 3 Ag2(2 x 107.9 g/mol= 215.8 g/mol), N2(2 x 14 g/mol= 28 g/mol), O2(2 x 16 g/mol= 32 g/mol), H2(2 x 1 g/mol= 2 g/mol) Mg2(2 x 24.3 g/mol= 48.6 g/mol), S2(2 x 32 g/mol= 64 g/mol)

  18. Problem 4 Calculate the molar masses of compounds: AgNO3, NaCl, AgCl, NaNO3 C13H18O2(Ibuprofen) PtCl2(NH3)2(Cisplatin) C6H12O6(Glucose)

  19. Solution 4 Single work! AgNO3 = 107.9 + 14 + 3 x 16= 170 g/mol NaCl= 23 + 35.4= 58.4 g/mol AgCl= 107.9 + 35.4= 143.3 g/mol NaNO3= 23 + 14 + 3 x 16= 85 g/mol C13H18O2= 13 x 12 + 18 x 1 +2 x 16= 206 g/mol PtCl2(NH3)2= 195 + 2 x 35.4 + (2 x 14 + 6 x 1)= 299.8 g/mol C6H12O6= 6 x 13 + 12 x 1 + 6 x 16= 186 g/mol

  20. Conclusions Calculations of molar mass!

  21. Assignments Calculate the molar mass of nickel (II) hexahydrate (NiSO4 6H2O) Calculate the molar mass of the hydrates formula unit NiSO4 Calculate the molar mass of PO4H2(CH2)12CH3 Calculate the molar mass of C17H29COOH (Linoleic acid) Calculate the molar mass of C H NO (Morphine)

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