Moles/Mass/Molecules Practice Problem Worksheet

Complete the following problems:

1. Convert 11.03 moles of calcium nitrate to grams.

2. How many molecules are contained in 103.4g of sulfuric acid?

3. 3.25 x 1024 molecules of dinitrogen pentoxide would be how many moles?

4. What would be the mass of 9.03 x 1021 molecules of hydrobromic acid?

5. A sample of iron (III) chloride has a mass of 26.29g. How many moles would this be?

Respuesta :

Neetoo

Answer:

Explanation:

1) Convert 11.03 moles of calcium nitrate to grams.

Given data:

Number of moles = 11.03 mol

Mass of calcium nitrate = ?

Solution:

Formula:

Number of moles = mass / molar mass

Now we will rearrange the formula because we have to calculate the mass.

Mass = number of moles × molar mass

Molar mass of calcium nitrate =  164.088 g/mol

Mass = 11.03 mol ×  164.088 g/mol

Mass = 1809.89 g

2. How many molecules are contained in 103.4g of sulfuric acid?

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

The number 6.022 × 10²³ is called Avogadro number.

For example,

18 g of water = 1 mole = 6.022 × 10²³ molecules of water

Given data:

Number of molecules = ?

Mass of sulfuric acid = 103.4 g

Solution:

Formula:

Number of moles = mass / molar mass

Number of moles = 103.4 g/ 98.079 g/mol

Number of moles = 1.05 mol

1 mole =  6.022 × 10²³ molecules

1.05 mol × 6.022 × 10²³ molecules / 1mol

6.323 × 10²³ molecules of sulfuric acid

3. 3.25 x 1024 molecules of dinitrogen pentoxide would be how many moles?

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

The number 6.022 × 10²³ is called Avogadro number.

For example,

18 g of water = 1 mole = 6.022 × 10²³ molecules of water

Given data:

Number of molecules of dinitrogen pentoxide = 3.25 × 10²⁴

Moles of dinitrogen pentoxide = ?

Solution:

1 mole =  6.022 × 10²³ molecules

1 mol  × 3.25 × 10²⁴ molecules / 6.022 × 10²³ molecules

5.4 moles

4. What would be the mass of 9.03 x 1021 molecules of hydrobromic acid?

The given problem will solve by using Avogadro number.

It is the number of atoms , ions and molecules in one gram atom of element, one gram molecules of compound and one gram ions of a substance.

The number 6.022 × 10²³ is called Avogadro number.

For example,

18 g of water = 1 mole = 6.022 × 10²³ molecules of water

Given data:

Number of molecules of hydrobromic acid = 9.03 × 10²¹

Mass of hydrobromic acid = ?

Solution:

First of all we will calculate the moles of hydrobromic acid.

1 mole =  6.022 × 10²³ molecules

1 mol  × 9.03 × 10²¹ molecules / 6.022 × 10²³ molecules

0.015  moles

Mass of hydrobromic acid:

Mass =  number of moles × molar mass

Mass = 0.015 mol × 80.9 g/mol

Mass =1.21 g

5. A sample of iron (III) chloride has a mass of 26.29g. How many moles would this be?

Given data:

Number of moles =?

Mass of iron(III) chloride = 26.29 g

Solution:

Formula:

Number of moles = mass / molar mass

Molar mass of iron chloride  =  162.2 g/mol

Now we will put the values in formula.

Moles = 26.29 g/ 162.2 g/mol

Moles = 0.16 g

Lanuel

1. Converting 11.03 moles of calcium nitrate to grams gives 1,809.89 grams.

2. The number of molecules that are contained in 103.4 g of sulfuric acid is  [tex]6.35 \times 10^{23}[/tex]  molecules.

3. Converting [tex]3.25 \times 10^{24}[/tex] molecules of dinitrogen pentoxide to moles is equal to 5.3987 moles.

4. The mass of [tex]9.03 \times 10^{21}[/tex] molecules of hydrobromic acid is 1.2135 grams.

5. The number of moles contained in 26.29 g of iron (III) chloride is 0.1621 moles.

Given the following data:

  • Number of moles of calcium nitrate = 11.03 moles
  • Mass of sulfuric acid = 103.4 grams
  • Number of molecules of dinitrogen pentoxide = [tex]3.25 \times 10^{24 }[/tex]
  • Number of molecules of hydrobromic acid = [tex]9.03 \times 10^{21 }[/tex]
  • Mass of iron (III) chloride = 26.29 grams

Scientific data:

  • The molar mass of calcium nitrate = 46.07 g/mol.
  • The molar mass of sulfuric acid = 98.079 g/mol.
  • The molar mass of hydrobromic acid = 80.91 g/mol.
  • The molar mass of iron (III) chloride = 162.2 g/mol.
  • Avogadro's number = [tex]6.02 \times 10^{23}[/tex]

1. To convert 11.03 moles of calcium nitrate to grams:

[tex]Mass = Number\;of\;moles \times molar\;mass\\\\Mass = 11.03 \times 164.088[/tex]

Mass of calcium nitrate = 1,809.89 grams.

2. To calculate how many molecules are contained in 103.4 g of sulfuric acid:

First of all, we would determine the number of moles contained in 103.4 g of sulfuric acid.

[tex]Number\;of\;moles = \frac{mass}{molar\;mass}\\\\Number\;of\;moles = \frac{103.4}{98.079}[/tex]

Number of moles = 1.0543 moles

By stoichiometry:

1 mole of sulfuric acid = [tex]6.02 \times 10^{23}[/tex]  molecules

1.0543 mole of sulfuric acid = X molecules

Cross-multiplying, we have:

[tex]X = 1.0543 \times 6.02 \times 10^{23}[/tex]

X = [tex]6.35 \times 10^{23}[/tex]  molecules

3. To convert [tex]3.25 \times 10^{24}[/tex] molecules of dinitrogen pentoxide to moles:

By stoichiometry:

1 mole of dinitrogen pentoxide = [tex]6.02 \times 10^{23}[/tex]  molecules

X mole of dinitrogen pentoxide = [tex]3.25 \times 10^{24}[/tex] molecules

Cross-multiplying, we have:

[tex]X=\frac{3.25 \times 10^{24}}{6.02 \times 10^{23}}[/tex]

X = 5.3987 moles

4. To calculate the mass of [tex]9.03 \times 10^{21}[/tex] molecules of hydrobromic acid:

First of all, we would determine the number of moles contained in [tex]9.03 \times 10^{21}[/tex] molecules of hydrobromic acid.

By stoichiometry:

1 mole of hydrobromic acid = [tex]6.02 \times 10^{23}[/tex]  molecules

X mole of hydrobromic acid =  [tex]9.03 \times 10^{21}[/tex] molecules

Cross-multiplying, we have:

[tex]X=\frac{9.03 \times 10^{21} }{6.02 \times 10^{23}}[/tex]

X = 0.015 moles

[tex]Mass = Number\;of\;moles \times molar\;mass\\\\Mass = 0.015 \times 80.91[/tex]

Mass of hydrobromic acid = 1.2135 grams.

5. To calculate the number of moles contained in 26.29 g of iron (III) chloride:

[tex]Number\;of\;moles = \frac{mass}{molar\;mass}\\\\Number\;of\;moles = \frac{26.29}{162.2}[/tex]

Number of moles = 0.1621 moles.

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