00:01
So let's first write down the chemical reaction.
00:03
So we have hydrochloric acid plus sodium hydroxide.
00:09
And this will make, of course, sodium chloride, the salt, plus water.
00:17
This is already balanced.
00:18
And so we can just go right ahead and say that first we have 10 milliliters of hydrochloric acid at 1 .0 molar concentration.
00:31
So the number of moles here would be equaling to 0 .010 liters.
00:37
This would be multiplied by 1 .0 molars, and we are left with 0 .010 moles of hydrochloric acid.
00:50
Now, for part a, we are adding sodium hydroxide.
00:55
We're adding sodium hydroxide for part a, b, and c.
00:59
So for part a, we have two milliliters at one molar concentration.
01:12
And so we can actually multiply these two, and we get 0 .00 -20 moles of sodium hydroxide.
01:24
And the mole ratio is one to one for these.
01:29
So we can say that then the concentration of hydrogen ions, or in this case, protons, would be equaling to 0 .010 moles of hydrochloric acid minus 0 .020 moles of sodium hydroxide.
01:52
And this will all be divided by 10 milliliters plus 2 milliliters or 0 .012.
02:01
To liters.
02:04
And so this gives us a concentration of 0 .667 molar.
02:10
And we can find the ph.
02:13
So the ph would be equaling to the negative log base 10 of the hydrogen ion concentration.
02:24
And this is equaling that 0 .176.
02:27
So very, very acidic still.
02:32
For part b, we have sodium hydroxide.
02:37
And again, hydrochloric acid.
02:41
But here, they're both 10 milliliters at 1 .0 molar concentration.
02:51
Again, they have a 1 -to -1 mole ratio as deduced by the chemical reaction.
02:58
And so we can say that this would be perfectly balanced, or we have a ph equaling to 7.
03:06
So this would truly just result in salt water.
03:11
So would it be basic? would it be acidic? and then for part c, we actually are adding more sodium hydroxide than necessary.
03:23
So it's actually better to figure out the concentration of hydroxide ions.
03:31
So this would be equal to 0 .01 liters or 11 mil liters of sodium hydroxide at 1 .0 molar.
03:45
This would be then minus the 10 mil liters, 0 .010 liters multiplied by 1 .0 molar.
03:55
And then this would be divided by 0 .01 liter plus 0 .01 .1.
04:03
0 .0 .0 .21 liters.
04:09
Giving us 0 .021 liters, giving us a concentration of 0 .0476 molar.
04:18
Now, from this, we can say that then the p .o .h would be equaling to the negative logarithm, base 10, again, of the hydroxide ion concentration.
04:30
This is giving us then 1 .3 approximately.
04:36
And so we know that ph plus p .o .h would be equaling to 14.
04:43
And so we can say the ph would be equalling to approximately 12 .7, or 14 minus 1 .3, 12 .7.
04:56
For part d, we have hydrochloric acid again.
05:02
However, now we have 50 milliliters or 0 .050 liters at 0 .5 molar concentration.
05:16
This is giving us our 0 .025 molar.
05:21
And so here we are reacting hydrochloric acid with sodium carbonate...