00:01
This calculation is going to end up being a two -equation to unknown, but we can formulate just a single equation with one unknown, recognizing that the sum of the masses of the gold and palladium needs to equal 67 .2 grams.
00:20
So let's assume that we do know the mass of the palladium and the gold.
00:25
Knowing the mass and the palladium of the gold, we should be able to calculate the number of gold atoms and the number of palladium atoms.
00:36
Summing these up would give us the total number of atoms.
00:40
The total number of atoms is provided at 2 .49 times 10 to the 23rd.
00:48
That will then be equal to the mass that is gold, which we don't know, so i'll say that it is x, multiplied by the reciprocal.
00:59
Of the molar mass of gold, 196 .97 grams per mole.
01:06
Once we know the moles of gold, we would multiply by avogadro's number to get the number of gold atoms.
01:15
We'll then add on the number of palladium atoms, which will be the mass of palladium, which we don't know, but it's got to be the 67 .2, which is the total mass, minus the mass that is gold that we defined as x, multiplied by the reciprocal of the molar mass of palladium, multiplied by avagadro's number.
01:39
Now we have a single equation with one unknown that we can use to solve for x.
01:45
We'll multiply everything here together, and we get 3 .057 times 10 to the 21x...