In these lessons, we will learn

** Mole-Mass Equation**

**Moles to Mass Calculation**

**Examples of moles to mass calculation**

Example:

If an experiment calls for 0.200 mol acetic acid (HC_{2}H_{3}O_{2}), how many grams of glacial acetic acid do we need?

Formula: m = nM Example:

If an experiment calls for 0.500 mol CaCO_{3}, how many grams of pure calcium carbonate do we need?

**Mass to Moles Calculation**

**Examples of mass to mole calculation**

Example:

How many moles of acetic acid (HC_{2}H_{3}O_{2}) are present in a 5.00 g sample of pure acetic acid?
**How to use formula mass to convert grams to moles and moles to grams?**

Examples:

1. How many moles of NAOH are represented by 80.0 grams of NAOH?

2. How many grams will 3.5 moles of NAOH weigh?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

- how to calculate the mass of a substance when we are given the number of moles (mole to mass conversion).
- how to calculate the number of moles of a substance when we are given the mass (mass to mole conversion).

mass = number of moles × molar mass

where mass is in grams and the molar mass is in grams per mole.

We can use the above equation to find the mass of a substance when we are given the number of moles of the substance.

*Example: *

Calculate the mass of (a) 2 moles and (b) 0.25 moles of iron. (Relative atomic mass: Fe = 56)

*Solution: *

a) mass of 2 moles of iron

= number of moles × molar mass

= 2 × 56

= 112 g

b) mass of 0.25 mole of iron

= number of moles × molar mass

= 0.25 × 56

= 14 g

*Example: *

Calculate the mass of (a) 3 moles and (b) 0.2 moles of carbon dioxide gas, CO2. (Relative atomic mass: C = 12; O = 16)

*Solution: *

a) mass of 1 mole of CO_{2
}= (1 × 12) + (2 × 16)

= 44 g

mass of 3 moles of CO_{2
}= 3 × 44

= 132g

b) mass of 0.2 mole of CO_{2
}= 0.2 × 44

= 8.8 g

Example:

If an experiment calls for 0.200 mol acetic acid (HC

Formula: m = nM Example:

If an experiment calls for 0.500 mol CaCO

If we are given the mass of a substance and we are asked to find the number of moles of the substance, we can rewrite the above equation as

*Example: *

Calculate the number of moles of aluminum present in (a) 108 g and (b) 13.5 g of the element. (Relative atomic mass: Al = 27)

*Solution: *

a)

b)

*Example: *

Calculate the number of moles of magnesium oxide, MgO in (a) 80 g and (b) 10 g of the compound. (Relative atomic mass: O = 16, Mg = 24)

*Solution: *

a) Mass of 1 mole of MgO

= (1 x 24) + (1 x 16)

= 40 g

b)

Example:

How many moles of acetic acid (HC

Examples:

1. How many moles of NAOH are represented by 80.0 grams of NAOH?

2. How many grams will 3.5 moles of NAOH weigh?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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