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Peroxyacylnitrate (PAN) is one of the components
of smog. It is a compound of C, H, N, and O.
Determine the percent composition of oxygen and
the empirical formula from the following percent
composition by mass: 19.8 percent C,
2.50 percent
H, 11.6 percent N. What is its molecular formula
given that its molar mass is about 120 g?

Respuesta :

C – 19,9%, H – 2,2%, N – 11,6%, O – x%

[tex]M=120\frac{g}{mol}[/tex]

1 percentage

The entire molecule is 100% and all the components of the compound add up to 100%.

100% - 19,9% - 2,5% - 11,6% = 66,1%

The compound contains 66,1% oxygen.

2 molar masses

[tex]M_{C}=12,01\frac{g}{mol}[/tex]

[tex]M_{H}=1,008\frac{g}{mol}[/tex]

[tex]M_{O}=15,999\frac{g}{mol}[/tex]

[tex]M_{N}=14,007\frac{g}{mol}[/tex]

3 masses

The compound has a molar mass of 120g/mol. So one molecule weighs 120 g. To find out how much the percentage of a component weighs, you have to calculate it using the molar mass.

carbon

19,8% of 120g

[tex]m=120g*0,198\\m=23,76g[/tex]

One molecule contains 23,76g of carbon.

hydrogen

2,5% of 120g

[tex]m=120g*0,025\\m=3g[/tex]

One molecule contains 3g of hydrogen.

oxygen

66,1% of 120g

[tex]m=120g*0,661\\m=79,32g[/tex]

One molecule contains 79,32g of oxygen.

nitrogen

11,6% of 120g

[tex]m=120g*0,0,116\\m=13,92g[/tex]

One molecule contains 13,92g of nitrogen.

4 amount of substance

carbon

[tex]n=\frac{23,76g}{12,01\frac{g}{mol} }\\n=1,98mol[/tex]

The compound contains about 2 moles of carbon.

hydrogen

[tex]n=\frac{3g}{1\frac{g}{mol} }\\n=3mol[/tex]

The compound contains about 3 moles of hydrogen.

oxygen

[tex]n=\frac{79,32g}{15,999\frac{g}{mol} }\\n=4,96mol[/tex]

The compound contains about 5 moles of oxygen.

nitrogen

[tex]n=\frac{13,92g}{14,007\frac{g}{mol} }\\n=0,99mol[/tex]

The compound contains about 1 moles of nitrogen.

5. molecular formula

The formula results from the ratio of the amounts of substance.

[tex]n_{C} :n_{H} :n_{O} :n_{N} =2:3:5:1\\C_{2}H_{3}NO_{5}[/tex]

The molecular formula of the given compound is C₂H₃NO₅, and percent composition of oxygen in it is 66.1%.

How do we calculate mass from % composition?

Mass of any composition of any compound will be calculated by using the below formula as:

Mass of component = (% composition)×(mass of compound) / 100

Given mass of compound = 120g/mol

Total composition of compound (100%) = Percent composition of all components

% composition of oxygen = 100 - (19.8 + 2.50 + 11.6) = 66.1%

Moles will be calculated as:

n = W/M, where

W = given mass

M = molar mass

  • For carbon atom:

Mass of Carbon component = (0.198)(120g) = 23.76g

Moles of Carbon atom = 23.76g / 12.01g/mol = 1.98mol = 2 moles

  • For nitrogen atom:

Mass of Nitrogen component = (0.116)(120g) = 13.92g

Moles of Nitrogen atom = 13.92g / 14.007g/mol = 0.99mol = 1 moles

  • For oxygen atom:

Mass of Oxygen component = (0.661)(120g) = 79.32g

Moles of Oxygen atom = 79.32g / 15.99g/mol = 4.96mol = 5 moles

  • For hydrogen atom:

Mass of Hydrogen component = (0.025)(120g) = 3g

Moles of Hydrogen atom = 3g / 1g/mol = 3 moles

So, the molecular formula of the compound on the basis of moles of given entities is C₂H₃NO₅.

Hence required molecular formula is C₂H₃NO₅.

To know more about emperical formula, visit the below link:
https://brainly.com/question/1603500