0:03 in this video we're going to focus on
0:05 the half reaction method used to
0:07 balance redox reactions
0:09 we're going to consider an example
0:12 using a neutral solution an acidic
0:15 solution and a basic solution
0:17 so let's start with a neutral solution
0:18 let's say
0:19 if aluminum metal
0:21 reacts with
0:23 nickel plus two
0:25 and it produces the aluminum plus three cation
0:26 cation
0:28 and nickel metal
0:30 go ahead and balance
0:32 this reaction using the half reaction method
0:34 method
0:36 now when balancing a redox reaction
0:38 you need to make sure that not only the
0:41 particles are balanced the atoms and the
0:43 ions but also
0:45 that you have charge balance the charges
0:47 must be balanced on both sides
0:50 in this example we have one aluminum
0:54 atom and ion on both sides
0:56 and we have a nickel particle
0:59 on the left and one on the right
1:00 so the atoms are balanced but however
1:02 the charges are not the left side
1:05 contains a net charge of positive two
1:07 the right side contains a total charge
1:08 of positive three
1:12 so this reaction is not balanced yet
1:13 so what we're going to do is we're going
1:16 to separate it into half reactions
1:18 let's start with the first one aluminum
1:24 now in order to balance it we'll need to
1:26 balance the charge
1:29 the net charge on the left is zero the
1:32 net charge on the right is three
1:33 so the difference between these two
1:34 numbers is three we're going to add
1:36 three electrons to the side with the
1:38 higher charge
1:40 and so the first half reaction
1:42 is balanced whenever the electrons are
1:43 on the right side
1:45 this half reaction represents an
1:48 oxidation reaction
1:50 now let's move on to the second half reaction
1:52 reaction
1:54 nickel plus two
1:56 turns into nickel
1:58 now in order to balance the charge we
2:01 gotta add two electrons to the left side
2:02 so whenever the electrons are on the
2:04 left side you have a reduction half reaction
2:06 reaction
2:08 now before we can add the two half
2:10 reactions we need to make sure the
2:12 number of electrons are the same on both sides
2:13 sides
2:14 the least common multiple of two and
2:16 three is six
2:18 so we need to get six electrons on both
2:20 reactions let's multiply the first one
2:29 so we're gonna have is two a l
2:32 which becomes two a l plus three
2:34 plus six electrons
2:36 and then below that three
2:38 nickel two plus cations plus six electrons
2:41 electrons
2:44 which becomes uh three nickel atoms
2:46 now we're going to add these two half reactions
2:47 reactions
2:49 notice that the electrons cancel
2:50 when that happens
2:53 the charges will be balanced
3:01 so on the left side we have these two
3:03 we have two aluminum atoms
3:05 reacting with three
3:06 nickel ions
3:09 and on the right side
3:16 two aluminum cations are being produced
3:18 and three nickel atoms
3:20 so notice that the number of nickel
3:23 particles is the same on both sides
3:25 and the number of aluminum particles is
3:26 the same
3:28 and the total charge is the same on the
3:31 left side it's 3 times 2
3:33 which is positive six and on the right
3:35 side it's two times three which is
3:37 positive six
3:39 so in balance in a redox reaction you
3:40 need to make sure that the number of
3:43 atoms are the same on both sides and
3:45 also the total charge has to be the same
3:48 on both sides
3:53 zinc
3:56 reacts with bromate
3:57 to produce
3:59 the zinc cation
4:04 balance this reaction under acidic conditions
4:06 conditions
4:08 under acidic conditions you can add h plus
4:09 plus
4:12 and water to balance a half reaction
4:15 so let's start with zinc
4:17 in order to balance this half reaction
4:18 all we need to do
4:23 now let's move on to the second half reaction
4:25 reaction
4:26 where bromate
4:32 now we already have one bromine atom on
4:34 both sides
4:35 so the next thing we need to do is
4:37 balance the oxygen atoms
4:40 and to do that we got to add water
4:42 so we need to add three water molecules
4:44 to the left side i mean the right side
4:46 in order to balance it so we have three
4:49 oxygen atoms on both sides
4:50 but now
4:52 we have six hydrogen atoms on the right side
4:53 side
4:54 so we need to add six
4:57 h plus ions to the left
5:00 now that all the atoms are balanced
5:02 we need to balance the charges
5:05 the net charge on the left side
5:07 is negative one
5:09 then that charge on the right side
5:11 is six
5:16 the difference between five and negative
5:19 one is six if you take five
5:22 and subtract it by negative one this is
5:23 equal to six
5:25 so therefore we need to add six
5:27 electrons now should we add it to the
5:29 left side or the right side
5:31 you should always add electrons to the
5:35 side with the higher total charge
5:37 so in this example we're going to add
5:39 six electrons
5:40 to the left side
5:42 and so now the second half reaction is balanced
5:44 balanced
5:45 now we need to make the number of
5:47 electrons equal on both sides so
5:49 therefore all we need to do
5:51 is multiply the first half reaction by three
5:53 three
5:55 and so it's going to be three
5:57 zinc atoms
5:59 producing three zinc ions
6:02 and six electrons
6:03 so now
6:06 we can add the two half reactions
6:08 to do so we need to cancel the six
6:11 electrons on both sides
6:13 and everything else we can bring down
6:16 so this is on the left side of the arrow
6:18 so we can bring it down
6:20 on the left side and then we have these
6:29 and on the right side
6:37 one bromide ion
6:43 so now let's make sure
6:46 that everything is balanced in our final answer
6:47 answer
6:48 so we have one bromine atom on both sides
6:51 sides
6:52 we have three
6:56 zinc particles on both sides
6:58 six hydrogen atoms three times two is six
6:59 six
7:02 and now let's check the total charge the
7:03 total charge
7:06 on the left side is six plus negative one
7:06 one
7:08 so it's positive five
7:10 on the right side it's three times two
7:12 which is six
7:14 plus negative one and so that two is
7:16 positive 5.
7:19 so now the total charge is the same and
7:21 the number of particles is the same on
7:22 both sides
7:27 this
7:35 now let's try another example
7:36 and let's balance it using the half
7:38 reaction method
7:47 under basic conditions
7:50 you can add hydroxide and water to
7:52 balance a half reaction
7:54 but it might be difficult to do so
7:57 an easier technique is to start by
7:59 balancing it under acidic conditions
8:02 and then add hydroxide to both sides of
8:03 the reaction
8:04 so i'll illustrate that with this example
8:05 example
8:07 so let's start with the first half reaction
8:08 reaction aluminum
8:09 aluminum produces
8:12 produces
8:19 now in order to balance the number of
8:21 atoms all we need to do is add four
8:28 and now the particles are balanced
8:30 now we need to balance the charge
8:32 the total charge
8:34 on the right side is negative one on the
8:37 left side it's four times negative one
8:38 or negative four
8:41 so these two numbers differ by three
8:43 now should we add the three electrons to
8:46 the left side or to the right side
8:48 which number is higher
8:49 on a number line negative four or
8:51 negative one
8:54 negative one is a higher number so we
8:57 need to add three electrons to negative
8:58 to the right side
9:01 so now the charges are balanced the net
9:04 charge on the right side is negative one
9:06 plus negative three which is negative four
9:08 four
9:18 so for this one
9:20 i'm going to balance it first as if it's
9:22 under acidic conditions so i'm going to
9:24 add four water molecules
9:27 on the right side so that the number of
9:28 oxygen atoms
9:30 will be the same on both sides so we
9:34 have four oxygen atoms on both sides
9:36 now i have eight hydrogen atoms on the
9:38 right side so i'm going to add eight h
9:41 plus ions
9:43 under basic conditions
9:45 the hydrogen ion is virtually
9:48 non-existent so we need to get rid of it
9:51 so i'm going to add eight hydroxide ions
9:56 when you mix h plus and oh minus you're
9:57 gonna get water
9:59 so therefore
10:02 these two will combine and form eight
10:07 on the right side
10:09 i'm still gonna have the four water molecules
10:10 molecules
10:12 but i'm also gonna have eight hydroxide ions
10:14 ions
10:17 now if you have the same substance on
10:18 both sides
10:21 you could simplify the equation
10:23 let's subtract both sides by four water molecules
10:30 and so now we have the balance reaction
10:33 under basic conditions eight minus four
10:34 is four
10:36 so it's four water molecules plus a per
10:39 chlorine ion produces one chloride ion
10:42 and eight hydroxide ions
10:45 so notice that the number of atoms
10:48 is balanced in this reaction
10:51 we have eight hydrogen atoms
10:52 on both sides
10:54 and we have eight oxygen atoms on the
10:56 right side
10:58 we have four from water and four from
11:02 the chlorine ion the perchlor ion
11:03 now all we need to do
11:05 is balance the charges
11:07 so the net charge on the left side is
11:09 negative one
11:10 the total charge on the right side is
11:12 negative one plus negative eight or
11:15 negative nine so these two numbers
11:17 differ by eight and negative one is
11:18 higher than negative nine so i'm going
11:30 now we need to make the number of
11:33 electrons equal
11:36 so 3 times 8 is 24.
11:38 that's the least common multiple between
11:40 3 and 8. so i need to
11:43 multiply this reaction by 8 to get 24
11:47 electrons and this one by 3 to get 24
11:49 electrons as well
11:52 so then this is going to be 32
11:53 hydroxide ions
11:55 plus 8
11:56 aluminum atoms
11:59 and that produces
12:05 plus
12:11 now let's move on to this one let's
12:13 multiply everything by three
12:15 so we're going to have 24 electrons
12:16 electrons plus
12:18 plus
12:20 12 water molecules
12:22 plus three perchlorate
12:25 ions and that's going to produce
12:27 three chloride ions
12:28 and 24
12:37 so now that we have the same number
12:39 of electrons on both sides we can add
12:42 the two half reactions
12:43 so let's cancel
12:46 the number of electrons
12:49 and so on the left we have 32 hydroxide ions
12:50 ions
12:54 plus eight aluminum atoms
12:57 12 water molecules
13:00 and three perchlorate ions
13:02 on the right side
13:09 three chloride ions and 24 hydroxide ions
13:11 ions
13:13 so notice that
13:15 we can reduce this reaction because we
13:17 have hydroxide on both sides
13:19 so what we need to do is subtract both
13:21 sides by 24
13:30 so the final answer
13:33 is going to be 32 minus 24 which is eight
13:37 so we have eight hydroxy ions eight
13:39 aluminum atoms
13:42 12 water molecules
13:45 three per chlorate ions
13:49 and that yields three chloride ions
13:55 and that's about it
13:57 now let's make sure that
13:59 the reaction is balanced
14:01 so we have eight aluminum atoms on both sides
14:03 sides
14:05 we have three chlorine atoms on both sides
14:08 sides
14:10 now on the right side we have eight
14:11 times four
14:14 or 32 hydrogen atoms
14:16 on the left side here we have 8 hydrogen atoms
14:17 atoms
14:21 and 12 times 2 is 24 24 plus 8 is 32
14:23 so we got 32 hydrogen atoms on both sides
14:25 sides
14:28 now for oxygen we have 8 times 4 or 32
14:30 oxygen atoms on the right side
14:32 here we have 8
14:35 this is 12 and 3 times 4 is 12.
14:37 so 12 plus 12
14:38 plus 8
14:40 that's 24
14:42 plus 8 which is 32.
14:51 now the last thing that we need to do
14:52 is check
14:54 the charges
14:57 so this is 3 times negative 1
14:59 plus negative eight so the total charge
15:02 on the left side is negative eleven
15:03 and here this is eight times negative
15:05 one plus negative three
15:07 so the total charge on the right side is
15:09 negative eleven
15:11 so once the number of atoms
15:13 and the total charge is the same
15:16 on the right side once you have
15:18 once the mass is balanced and the
15:20 charges are balanced
15:22 then the redox reaction is balanced as well
15:23 well
15:25 so this is the final answer
15:27 so now you know how to balance a redox reaction
15:28 reaction
15:30 using the half reaction method under
15:33 neutral solutions acidic solutions and
15:35 basic solutions
15:36 so that's it for this video that's all i