Dimensional Analysis – with Moles
1 mole = 6.022 x 1023 particles
Name: _____________________
(NOTE: particles may mean either individual molecules or atoms)
Oxygen (O)
1 mol O = 16.00 g O
Carbon (C)
1 mol C = 12.01 g C
Hydrogen (H)
1 mol H = 1.008 g H
Carbon dioxide 1 mol CO2 = 44.01 g CO2
1 mol CO2 = 1 mol C = 2 mol O
1 mol H2O = 2 mol H = 1 mol O
1 mol O2
= 2 mol O
1 mole gas = 22.4 L of gas
1 oz = 28.35 g
1 kg = 1,000 g
Molecules
EX) How many moles of hydrogen (H) are there in 3 moles H2O ?
EX) How many moles of hydrogen (H) are there in 3.5 g of H?
______ Atoms
1 lb = 454 g
3 mol H2O x
3.5 g H x
.
$ 1108.8 = 1 oz gold
2 mol H
1 mol H2O
1 mol H
1.008 g H
= 6 mol H
= 3.47 mol H
EX) How many atoms of oxygen (O) are there in 1.7 g of CO2?
1.7 g CO2 x 1 mol CO2 x
44.01 g CO2
6.022 x 1023 atoms
2 mol O
x
1 mol CO2
1 mol O
1) How many atoms of Carbon (C) are in 4.31 moles of Carbon?
= 4.65 x 1023 atoms of Oxygen
4.31 mol C x
2) How many moles of Oxygen (O) are there in 57.6 moles of CO2? 57.6 mol CO2 x
3) How many moles of hydrogen (H) are there in 8.71 Liters of gaseous water vapor (H2O g)?
8.71 L H2O g
4) How many grams of Oxygen (O) are there in 0.796 moles of O2 ?
0.796 mol O2
5) How many moles of Oxygen (O) are there in 2.39 x 1025 molecules of CO2? (NOTE: molecules = particles)
2.39 x 1025 particles CO2
6) How many atoms of oxygen (O) are there is 0.000816 moles of oxygen (O)? (NOTE: atoms = particles)
7) How many moles of oxygen are there in 0.515 grams of CO2?
8) How many liters of oxygen (O) gas are there in 1.64 kg of CO2 gas? (Note: kilograms)
9) How many atoms of silver (Ag) are there in a silver coin with a mass of 17.2 g? Note: 1 mole Ag = 107.87 g Ag
10) If there are 1.5 x 1018 atoms of silver (Ag), how many grams would this be?
11) How many atoms of sugar are there in a Snickers Bar (28 g sugar) Note: 1 mole sugar = 342.30 g sugar
12) If you needed to add 0.25 moles of sugar to some water, how many grams of sugar would this be?
13) How many atoms of carbon, atoms of hydrogen, and atoms of oxygen are there in 5,000 molecules of sugar?
Note: the molecular formula of sugar (sucrose) is C12H22O11,
Carbon atoms:
Hydrogen atoms:
Oxygen atoms:
14) Calculate the value ($) of a gold chain that is 9.2 grams Au .
15) How many atoms (particles) are there in the 9.2 g Au (24 kt) chain? NOTE: 1 mole Au = 196.97 g Au .
16) What is the value($) of one atom of gold (Au)?
17) A 1.5 carat diamond weighs how many ounces? NOTE: 1 carat = 200 mg
18) How many Carbon (C) atoms are in a 1.5 carat diamond? NOTE: 1 mole C = 12.01 g C
(diamonds = pure carbon)
19) How many carats would a diamond be if it contained 1 mole of carbon (C) atoms?
20) What is the true value of a penny if copper (Cu) is worth $3.40 per pound? NOTE: a 1981 penny = 3.1 grams
21) How many atoms are there in the 1981 penny? NOTE: 1 mole Cu = 63.546 g Cu .
22) If the thickness of a penny is 1.43 mm, how many copper atoms thick is it?
Atomic radius of Cu = 128 pm
(diameter of Cu = 256 pm)
1 m = 1 x 1012 pm
23) It takes about 70 mg of arsenic (As) to kill a human being. Would you die if you were to accidentally drink a
glass of polluted water that contained 9.81 x 1015 atoms of arsenic? Note: 1 mole As = 74.92 g As .
24) How many molecules of water (H2O) are there in one drop of water?
1 mL H2O = 20 drops H2O
1 g H2O = 1 mL H2O
1 mole H2O = 18.015 g H2O
25) How many atoms of oxygen and how many atoms of hydrogen are there in one drop of water (H2O)?