Nitroglycerin contains 60% as many carbon atoms as hydrogen atoms, three times as many oxygen atoms as nitrogen atoms, and the same number of carbon and nitrogen atoms. The number of moles in 1.00g of nitroglycerin is 0.00441. What is the molecular formula?

Respuesta :

Answer:

C₃H₅N₃O₉

Explanation:

Molar mass of nitroglycerin (Ratio of mass and moles of the compound) is:

1.00g / 0.0041mol = 226.8g/mol

We can write the equations:

0.6H = C (1)

-60% as many carbon atoms as hydrogen atoms-

3N = O (2)

C = N

Using as basis the atoms of Carbon:

Carbon = 1

Nitrogen = 1

Oxygen = 3

Hydrogen = 1/0.6 = 1.67

A molecular formula has just whole numbers. This ratio of atoms times 3:

Carbon = 3

Nitrogen = 3

Oxygen = 9

Hydrogen = 5

C₃H₅N₃O₉. Molar mass of this formula is:

C = 12.01g/mol*3 = 36.03g/mol

H = 1.01g/mol*5 = 5.05g/mol

N = 14g/mol*3 = 42g/mol

O = 16g/mol*9 = 144g/mol

Molar mass:

36.03g/mol + 5.05g/mol + 42g/mol + 144g/mol = 227g/mol ≈ 226.8g/mol

That means molecular formula of nitroglycerin is:

C₃H₅N₃O₉

The molecular formula of nitroglycerin is C₃H₅O₉N₃

Mass of nitroglycerin = 1.00 g

A number of moles of nitroglycerin =  0.0041 mol

It is required to calculate the molecular formula of nitroglycerin.

What is the empirical formula?

An empirical formula tells us the relative ratios of different atoms in a compound.

The molecular formula of nitroglycerin can be estimated with the help of empirical formula.

The molar mass of nitroglycerin (Ratio of mass and moles of the compound) is:

1.00g / 0.0041mol = 226.8 g/mol

We can write the equations:

0.6H = C (1)

-60% as many carbon atoms as hydrogen atoms-

3N = O (2)

C = N

Using as basis the atoms of Carbon:

Carbon = 1

Nitrogen = 1

Oxygen = 3

Hydrogen = 1/0.6 = 1.67

A molecular formula has just whole numbers. This ratio of atoms times 3:

Carbon = 3

Nitrogen = 3

Oxygen = 9

Hydrogen = 5

C₃H₅N₃O₉.

Molar mass of this formula is:

C = 12.01g/mol*3 = 36.03g/mol

H = 1.01g/mol*5 = 5.05g/mol

N = 14g/mol*3 = 42g/mol

O = 16g/mol*9 = 144g/mol

Molar mass:

36.03g/mol + 5.05g/mol + 42g/mol + 144g/mol = 227g/mol ≈ 226.8g/mol

That means molecular formula of nitroglycerin is:

C₃H₅N₃O₉

To learn more about empirical formula, click here:

https://brainly.com/question/11588623

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