Answer :
The empirical formula of emerald is Be3Al2Si6O18.
The empirical formula of a compound tells us about the simplest ratio between the atoms present in the compound.
We are given that emerald consists of 5.030% beryllium, 10.040% aluminum, 31.351% silicon and 53.579% oxygen.
So, we need to first convert the percentages into number of moles of the elements.
Let us assume that there is 100 grams of emerald.
Hence, the mass of each element in it is 5.030 grams beryllium, 10.040 grams aluminum, 31.351 grams silicon and 53.579 grams oxygen.
To calculate the moles, we need to divide their given mass by their molar mass
Moles of beryllium(Be) = 5.030/9 = 0.55
Moles of aluminium(Al) = 10.040/27 = 0.37
Moles of silicon(Si) = 31.351/28 = 1.107
Moles of oxygen(O) = 53.579/16 = 3.34
Now, we need to divide the moles by the lowest common number among them i.e, 0.37.
So, 0.55/0.37 = 1.5
0.37/0.37 = 1
1.107/0.37 = 3
3.34/0.37 = 9
So, the ratio of Be:Al:Si:O comes out to be 1.5:1:3:9.
As the ratio contains 1.5, so we need to multiply it by 2 to get a whole number.
So, (1.5:1:3:9) x 2 = 3:2:6:18
Thus, the empirical formula of emerald is Be3Al2Si6O18.
To know more about "empirical formula", refer to the following link:
https://brainly.com/question/14425626?referrer=searchResults
#SPJ4
