Ch. 3 - Chemical Reactions

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Ch. 7/8 – Chemical Reactions

II. Balancing Equations

C. Johannesson

I

II III IV V

A. Balancing Steps

1. Write the unbalanced equation.

2. Count atoms on each side.

3. Add coefficients to make #s equal.

Coefficient

 subscript = # of atoms

4. Reduce coefficients to lowest possible ratio, if necessary.

5. Double check atom balance!!!

C. Johannesson

B. Helpful Tips

 Balance one element at a time.

 Update ALL atom counts after adding a coefficient.

 If an element appears more than once per side, balance it last.

 Balance polyatomic ions as single units.

 “1 SO

4

” instead of “1 S” and “4 O”

C. Johannesson

C. Balancing Example

Aluminum and copper(II) chloride react to form copper and aluminum chloride.

2 3

2

3 2

3

2

1 1

2

3

 

3

6

 

6

C. Johannesson

 Mr. Rapps slides next

C. Johannesson

 Compare the numbers of each kind of atom in the balanced equation with the numbers of each kind of atom in the sketched representation. Both the equation and the sketch have the same number of atoms in the reactants and in the products.

Practice

Al(s) + O

2

(g) ---> Al

2

O

3

(s)

Inventory: 1Al and 2O’s on left and

2Al’s and 3O’s on right.

 Start with Al

 Need 2 on left to balance right

 2 Al(s) + O

2

(g) ---> Al

2

O

3

(s)

 Al is balanced but O is not.

 Double everything but O

2

Practice

 4 Al(s) + O

2

(g) ---> 2 Al

2

O

3

(s)

 Al is still balanced, now we have

2O’s on left and 6O’s on right.

 How can we balance that?

 3x2 = 6 so we need 3 O

2 molecules

4 Al(s) + 3 O

2

(g) ---> 2 Al

2

O

3

(s)

Inventory: 4Al’s and 6O’s on left and

4Al’s and 6O’s on right

It’s balanced

Practice

Balance: FeCl

3

+ NaOH  Fe(OH)

3

+ NaCl

Inventory: 1Fe, 3Cl’s, 1Na and 1OH on left and 1Fe, 3OH’s, 1Na and 1Cl on right

Balance Cl first  need 3 on right

FeCl

3

+ NaOH  Fe(OH)

3

+ 3 NaCl

Na is now unbalanced  need 3 on left now

FeCl

3

+ 3 NaOH  Fe(OH)

3

+ 3 NaCl

Inventory again: 1Fe, 3Cl, 3Na, and 3OH on left and 1Fe, 3OH, 3Na, and 3Cl on right

It’s balanced!!!

Practice

Ba(NO

3

)

2

+ Al

2

(SO

4

)

3

 BaSO

4

+ Al(NO

3

)

3

Inventory: 1Ba, 2NO

3

’s, 2Al’s and 3SO

4 left and 1Ba, 1SO

4

, 1Al, and 3NO

3

’s on

’s on right

Balance SO

4

’s first  need 3 on right

Ba(NO

3

)

2

+ Al

2

(SO

4

)

3

 3 BaSO

4

Balance Ba next  need 3 on left

+ Al(NO

3

)

3

3 Ba(NO

3

)

2

Al(NO

3

)

3

+ Al

2

(SO

4

)

3

 3 BaSO

4

+

Balance NO3’s next  6 on left and 3 on right, use 2 as coefficient

Practice

3 Ba(NO

3

)

2

2 Al(NO

3

)

3

+ Al

2

(SO

4

)

3

 3 BaSO

4

+

That gives 6NO

3

’s on both sides

Inventory: 3Ba’s, 6NO3’s, 2Al’s and 3SO4’s on left and 3Ba’s, 3SO4’s, 2Al’s, and 6NO3’s on right.

It’s balanced

Practice

Ca(OH)

2

+ H

3

PO

4

 Ca

3

(PO

4

)

2

+ H

2

O

Inventory: 1Ca, 5H’s, 6O’s and 1P on left and 3Ca’s, 9O’s, 2H’s, and 2 P on right.

 Balance Ca first  need 3 on left

3 Ca(OH)

2

+ H

3

PO

4

 Ca

3

(PO

4

)

2

+ H

2

O

Balance PO

4

’s next  need 2 on left

3 Ca(OH)

2

+ 2 H

3

PO

4

 Ca

3

(PO

4

)

2

+ H

2

O

Inventory again for H’s and O’s:

6O’s+8O’s(14) and 6H’s+6H’s(12) on left and 8O’s+1O’s(9) and 2H’s on right

Practice

To get 12H’s on right we can use 6 as a coefficient for water

3 Ca(OH)

2

6 H

2

O

+ 2 H

3

PO

4

 Ca

3

(PO

4

)

2

+

Inventory: 3Ca’s, 2P’s, (6+6=12)H’s, and (6+8=14)O’s on left and 3Ca’s,

2P’s, (6x2=12)H’s and (8+6=14)O’s on right

It’s balanced

Practice

 ____C

3

H

8

(g) + _____ O

2

(g) ---->

>

_____CO

2

(g) + _____ H

2

O(g)

____B

4

H

10

___ B

2

O

3

2

(g) ----

2

O(g)

Practice

 NH

4

NO

3

---> N

2

O + 2 H

2

O

 Carbon monoxide reacts with nitrogen monoxide to form carbon dioxide and nitrogen gas (pairs)

 Equation: CO + NO  CO

2

2 CO + NO 

2 CO

2

+ N

2

+ N

2

Practice

 Phosphorus trichloride reacts with water to form hydrochloric acid and

 phosphorous acid.

Equation: PCl

3

+ H

2

O

HCl + H

3

PO

3

 PCl

3

+ H

2

O 

3 HCl + H

3

PO

3

 Magnesium nitride reacts with water to

 form magnesium hydroxide and ammonia

Equation: Mg

3

N

2

+ H

2

O

Mg(OH)

2

+ NH

3

Mg

3

N

2

6

2

O 

3

Mg(OH)

2

2

3

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