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Stoichiometry
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S t o i c h i o m e t r y A q u a n t i t a t i v e s t u d y o f c h e m i c a l c h a n g e s
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M a s s - M a s s P r o b l e m s G i v e n a c e r t a i n a m o u n t o f r e a c t a n t , h o w m u c h p r o d u c t c a n b e f o r m e d ?
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M a s s - M a s s P r o b l e m s T h e m o l e r a t i o f r o m
t h e c o e f f i c i e n t s i n a b a l a n c e d e q u a t i o n i s u s e d t o c h a n g e f r o m o n e s u b s t a n c e t o a n o t h e r .
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M o l e F r a c t i o n FeS + 2HCl H2S + FeCl2 1 mole FeS = 1 mole H2S
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M o l e F r a c t i o n FeS + 2HCl H2S + FeCl2 2 mole HCl = 1 mole H2S
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Mass-Mass Steps: 1. Write the balanced equation.
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Mass-Mass Steps: 2. Put given mass on a factor-label form.
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3. Convert mass of reactant to moles of reactant.
Mass-Mass Steps: 3. Convert mass of reactant to moles of reactant.
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Mass-Mass Steps: 4. Convert moles of reactant to moles of product.
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Mass-Mass Steps: 5. Convert moles of product to grams of product.
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Mass-Mass Steps: 6. Pick up the calculator and do the math.
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M a s s - M a s s p r o b l e m s u s u a l l y l o o k l i k e t h i s :
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t h e a i r w i l l c o m b i n e w i t h b o t h t h e i r o n
I f i r o n p y r i t e , F e S 2 , i s n o t r e m o v e d f r o m c o a l , o x y g e n f r o m t h e a i r w i l l c o m b i n e w i t h b o t h t h e i r o n a n d t h e s u l f u r a s c o a l b u r n s.
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W r i t e a b a l a n c e d e q u a t i o n s h o w i n g t h e f o r m a t i o n o f i r o n ( I I I ) o x i d e a n d s u l f u r d i o x i d e.
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N o w t h e m a s s - m a s s p a r t :
I f a f u r n a c e b u r n s a n a m o u n t o f c o a l c o n t a i n i n g g o f F e S 2 , h o w m u c h s u l f u r d i o x i d e i s p r o d u c e d ?
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M a s s - M a s s P r o b l e m s S t e p 1:
W r i t e t h e b a l a n c e d e q u a t i o n f o r t h e r e a c t i o n .
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F e S O F e 2 O S O 2
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B a l a n c e t h e e q u a t i o n : D i a t o m i c m o l e c u l e s M e t a l s N o n m e t a l s O x y g e n H y d r o g e n R e c o u n t a l l a t o m s R e d u c e , i f n e e d e d
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4 F e S O F e 2 O S O 2
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M a s s - M a s s P r o b l e m s S t e p 2:
W r i t e w h a t i s g i v e n .
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g F e S 2 W r i t e w h a t i s g i v e n
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M a s s - M a s s P r o b l e m s S t e p 3:
C o n v e r t m a s s o f r e a c t a n t t o m o l e s o f r e a c t a n t .
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1 0 0 g F e S 2 1 m o l e F e S 2 1 2 0 g F e S 2 formula mass: Fe = 1 X 56 = 56 S = 2 X 32 = 64 120 C o n v e r t g r a m s t o m o l e s
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M a s s - M a s s P r o b l e m s S t e p 4:
U s e c o e f f i c i e n t s o f r e a c t a n t a n d p r o d u c t i n t h e b a l a n c e d e q u a t i o n
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R e a c t a n t 4 F e S O F e 2 O S O 2 P r o d u c t
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M a s s - M a s s P r o b l e m s S t e p 4:
C o n v e r t m o l e s o f r e a c t a n t t o m o l e s o f p r o d u c t .
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1 m o l e F e S 2 1 0 0 g F e S 2 2 m o l e S O 2 1 m o l e F e S 2
C h a n g e s u b s t a n c e s
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M a s s - M a s s P r o b l e m s S t e p 5:
C o n v e r t m o l e s o f p r o d u c t t o g r a m s o f p r o d u c t .
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1 m o l e F e S 2 1 0 0 g F e S 2 2 m o l e S O 2 6 4 g S O 2
1 m o l e F e S m o l e S O 2 C o n v e r t m o l e s t o g r a m s
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M a s s - M a s s P r o b l e m s S t e p 6:
U s e c a l c u l a t o r t o d o t h e m a t h .
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= 1 0 7 g S O 2 100 g FeS2 1 mole FeS2 2 mole SO2 64 g SO2
D o t h e m a t h
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R e m e m b e r : F a c t o r - l a b e l c a n c e l s u n i t s
100 g FeS2 1 mole FeS2 2 mole SO g SO2 120 g FeS mole FeS2 1 mole SO2 R e m e m b e r : F a c t o r - l a b e l c a n c e l s u n i t s
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P r a c t i c e
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Problem #1
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Problem #2
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Problem #3
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More P r a c t i c e
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How much silver is obtained from the decomposition of 100 grams of silver oxide?
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2Ag2O --> 4Ag + O2
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100g Ag2O 1 mole Ag2O 4 mole Ag 108g Ag 232g 2 mole 1 mole Ag Ag2O Ag2O
Ag - 2 X 108 = 216 O X 16 = 16 232 93g Ag
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50g of iron (II) sulfide react with an excess of HCl in a double displacement reaction. How many grams of hydrogen sulfide are produced?
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FeS + 2HCl --> H2S + FeCl2 50g FeS 1 mole FeS 1 mole H2S 34g H2S 88g FeS 1 mole FeS 1 mole FeS
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How much ammonium hydroxide is produced when 25g of ammonium phosphate react with an excess of barium hydroxide in a double displacement reaction?
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2(NH4)3PO4 + 3Ba(OH)2 --> 6NH4OH + Ba3(PO4)2 25g mole mole g (NH4)3PO4 (NH4)3PO4 NH4OH NH4OH g mole mole (NH4)3PO4 (NH4)3PO4 NH4OH 18g NH4OH
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Calcium and aluminum chloride combine in a single displacement reaction. Assuming a sufficient amount of calcium is used, how much aluminum is produced from 10g of aluminum chloride?
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3Ca + 2AlCl3 --> 2Al + 3CaCl2 10g AlCl3 1 mole AlCl3 2 mole Al g Al g AlCl mole AlCl3 1 mole Al 2g Al
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Limiting Reactant
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The reactant that is completely consumed in a reaction
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the reactant that remains after the reaction stops
Excess reactant: the reactant that remains after the reaction stops
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The amount of product formed depends on the limiting reactant
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Steps used in solving a limiting reactant problem
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1. Write a balanced equation
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2. Convert BOTH reactant quantities to moles
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3. Determine moles of product formed by each reactant
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4. The one producing the LEAST amount is the limiting reactant
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Finish the calculation using the limiting reactant
5. Finish the calculation using the limiting reactant
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Sample limiting reactant problem
What mass of water can be produced by 4g of H2 reacting with 16g of O2?
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Write a balanced equation
Sample limiting reactant problem 1. Write a balanced equation for the reaction.
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2 H2 + O H2O 2. Convert both reactant quantities to moles.
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Using the mole ratio from the equation, determine the
3. Using the mole ratio from the equation, determine the moles of water that could be formed by each reactant.
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4. Oxygen produces the least amount of water.
16 grams of O2 cannot produce as much water as 4 grams of H2. In other words, 16 grams of O2 will be used up in the reaction before 4 grams of H2.
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Oxygen is the "limiting" reactant. Use oxygen to finish the calculation of product amount.
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Complete the problem by
5. Complete the problem by converting moles of H2O to mass of H2O.
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Limiting reactant practice problem:
75 grams of calcium oxide react with 130 grams of hydrochloric acid to produce a salt and water. What is the limiting reactant?
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Limiting reactant practice problem:
CaO + HCl Salt + H2O
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Limiting reactant practice problem:
CaO + HCl CaCl2 + H2O Balance the equation
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Limiting reactant practice problem:
CaO + 2HCl CaCl2 + H2O Convert both reactants to moles
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Convert both reactants to moles of product
75 g CaO 1 mole CaO 56 g CaO Ca - 1 X 40 = 40 O - 1 X 16 = 16 56 130 g HCl 1 mole HCl H - 1 X 1 = 1 Cl - 1 X 35 = 35 36 g HCl 36 Convert both reactants to moles of product
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Whichever produces the LEAST amount of product is the
75 g CaO 1 mole CaO 1 mole CaCl2 56 g CaO mole CaO 130 g HCl 1 mole HCl 1 mole CaCl2 36 g HCl mole HCl Whichever produces the LEAST amount of product is the limiting reactant.
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CaO produces 1.3 mole CaCl2 HCl produces 1.8 mole CaCl2
75 g CaO 1 mole CaO 1 mole CaCl2 56 g CaO mole CaO 130 g HCl 1 mole HCl 1 mole CaCl2 36 g HCl mole HCl CaO produces 1.3 mole CaCl2 HCl produces 1.8 mole CaCl2
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CaO is the limiting reactant.
75 g CaO 1 mole CaO 1 mole CaCl2 56 g CaO mole CaO 130 g HCl 1 mole HCl 1 mole CaCl2 36 g HCl mole HCl CaO produces 1.3 mole CaCl2 CaO is the limiting reactant.
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Homework Problem: How much aluminum oxide is produced when
46.5 g of Al react with 165.37g of MnO?
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Homework Problem 2 Al + 3 MnO Mn + Al2O3
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Homework Problem 46.5g Al 1 mole Al 1 mole Al2O3 27g Al 2 moles Al
0.86 46.5g Al 1 mole Al 1 mole Al2O3 27g Al moles Al Al - 1 X 27 = 27 0.78 165.37g MnO 1 mole MnO 1 mole Al2O3 Mn - 1 X 55 = 55 O - 1 X 16 = 16 71g MnO mole MnO 71
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Homework Problem 165.37g MnO 1 mole MnO 1 mole Al2O3 102g Al2O3
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5 grams of copper metal react with a solution containing
#1 5 grams of copper metal react with a solution containing 20 grams of silver nitrate to produce copper (II) nitrate and silver. A. What is the limiting reactant? B. How many grams of Ag are produced?
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1A. Cu + 2 AgNO3 Cu(NO3)2 + 2 Ag 5g Cu 1 mole Cu 2 mole Ag
0.15 64g Cu mole Cu 0.12 20g AgNO3 1 mole AgNO3 2 mole Ag 170 g AgNO mole AgNO3 silver nitrate is the limiting reactant
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1B. Cu AgNO Cu(NO3) Ag 20g AgNO3 1 mole AgNO3 2 mole Ag g Ag 170 g AgNO mole AgNO3 1 mole Ag 12.7g Ag
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#2 A solution containing 20 g of sodium
sulfite reacts with 7 ml of phosphoric acid. The concentration of the acid solution is such that there are 1.83 g of H3PO4 per ml of solution. A. How many g of water are produced? B. How many moles of Na3PO4 are produced? C. How many g of SO2 are produced?
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3Na2SO3 + 2H3PO Na3PO4 + 3SO2 + 3H2O 20g Na2SO3 1 mole Na2O3 3 mole H2O 0.159 126g Na2SO3 3 mole Na2SO3 12.8g H3PO4 1 mole H3PO4 3 mole H2O 0.196 98g H3PO mole H3PO4 1.83 g ml = 12.8 g 1 ml
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2A. 3Na2SO3 + 2H3PO Na3PO4 + 3SO2 + 3H2O 20g Na2SO3 1 mole Na2O3 3 mole H2O g H2O 126g Na2SO3 3 mole Na2SO3 1 mole H2O 2.9 g H2O Produced
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2B. 3Na2SO3 + 2H3PO4 2Na3PO4 + 3SO2 + 3H2O 17.4 g Na3PO4 Produced
20g Na2SO3 1 mole Na2O3 2 mole Na3PO g Na3PO4 126g Na2SO3 3 mole Na2SO mole Na3PO4 17.4 g Na3PO4 Produced
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2C. 3Na2SO3 + 2H3PO4 2Na3PO4 + 3SO2 + 3H2O 10.2 g SO2 Produced
20g Na2SO3 1 mole Na2O3 3 mole SO g SO2 126g Na2SO3 3 mole Na2SO mole SO2 10.2 g SO2 Produced
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Thirteenth Lab Copper and Silver Metals
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END Stoichiometry
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