NutraSweet is 57.14% C, 6.16% H, 9.52% N, and 27.18% O.

What is the empirical formula of NutraSweet and
what is the molecular formula. (The molar mass of NutraSweet is 294.30 g/mol)

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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