Atoms to Moles Calculator

How to Calculate Atoms to Moles Conversion

The conversion between atoms and moles is a fundamental concept in chemistry that relates the number of particles to the amount of substance. This calculator helps you convert between atoms and moles using Avogadro's constant.

What is the Formula?

The basic formulas for converting between atoms and moles are:

1. Atoms to Moles: \[ \text{moles} = \frac{\text{number of atoms}}{\text{Avogadro's constant}} \]

2. Moles to Atoms: \[ \text{number of atoms} = \text{moles} \times \text{Avogadro's constant} \]

Where:

• Avogadro's constant ≈ 6.022 × 10²³ particles/mole

What are the calculation steps?

1. Identify whether you're converting from atoms to moles or vice versa.
2. Use the appropriate formula based on your conversion direction.
3. Plug in the known value (either number of atoms or number of moles).
4. Perform the calculation to get your result.

Example Calculation

Let's convert 3.011 × 10²³ atoms to moles:

Step 1: Identify the formula

We're converting from atoms to moles, so we'll use: moles = number of atoms / Avogadro's constant

Step 2: Plug in the values

moles = (3.011 × 10²³) / (6.022 × 10²³)

Step 3: Perform the calculation

moles = 0.5 moles

Therefore, 3.011 × 10²³ atoms is equivalent to 0.5 moles.

Diagram of Atoms to Moles Conversion

The following diagram illustrates the relationship between atoms and moles:

This diagram shows the conversion between atoms and moles. The arrow represents division by Avogadro's constant when converting from atoms to moles, and multiplication by Avogadro's constant when converting from moles to atoms.