Answer :
Elements. C. H. N. O
% Composition 57.14 6.16 9.52. 27.18
Molar mass. 12 1. 14. 16
Moles. 4.76. 6.16. 0.68. 1.70
mole ratio 7. 9. 1. 2.5
Multiply by 2
to make it a whole. 7*2. 9*2. 1*2 2.5*2
number
= 14. 18. 2. 5
EMF C14H18N2O5
EMF(n) = MF
12 + 1 + 14 + 16(n) = 294.30
43n = 294.30
n = 7 (to 1 decimal place)
there MF = C14H18N2O5(7)
= C98H126N4O35
The empirical formula of NutraSweet is C14H18N2O5 while the molecular formula is C14H18N2O5
HOW TO CALCULATE EMPIRICAL FORMULA:
- The empirical formula of a compound can be calculated as follows:
- The following are the composition of Nutrasweet:
57.14% C = 57.14g
6.16% H = 6.16g
9.52% N = 9.52g
27.18% O = 27.18g
- Next, we divide each element's mass value by its molar mass to get number of moles:
C = 57.14g ÷ 12 = 4.762 mol
H = 6.16g ÷ 1 = 6.16 mol
N = 9.52g ÷ 14 = 0.68 mol
O = 27.18g ÷ 16 = 1.699 mol
- Next, divide each mole value by the smallest (0.68 mol)
C = 4.762 ÷ 0.68 = 7.00
H = 6.16 ÷ 0.68 = 9.06
N = 0.68 ÷ 0.68 = 1
O = 1.699 ÷ 0.68 = 2.49
- We multiply each value by 2 to get a whole number ratio. That is;
C = 14
H = 18
N = 2
0 = 5
- The empirical formula of Nutrasweet is therefore; C14H18N2O5
- The molecular formula can be calculated thus;
(C14H18N2O5)n = 294.30
12(14) + 1(18) + 14(2) + 16(5) = 294.3
(168 + 18 + 28 + 80) = 294.3
294n = 294.3
n = 294.3/294
n = 1.000
This means that the molecular formula of Nutrasweet is C14H18N2O5.
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