# Atoms to Grams Calculator

The formula to calculate the mass (\(m\)) of atoms given the number of atoms (\(n\)) and the average atomic mass (\(M\)) is:

\[ m = \frac{n \times M}{6.0221408 \times 10^{23}} \]*Created by Team y2calculate.com*

Content written by Jangir khan (Ph.D. )

Calculator code by Marcelino

Reviewed by Jangir (Ph.D. Chemistry )

Fact checked 🔍✓

#### Table of Contents

## Formula to convert atom to gram

The formula to convert atoms to grams is:

\[ \text{Mass (g)} = \frac{\text{Number of Atoms}}{\text{Avogadro's Number}} \times \text{Molar Mass (g/mol)} \]Convert 100,000 atoms with a molar mass of 32 g/mol to grams.

**Answer:**

Using the conversion formula:

\[ \text{Mass (g)} \approx \frac{100,000 \times 32}{6.022 \times 10^{23}} \] \[ \text{Mass (g)} \approx 5.32 \times 10^{-18} \text{ grams} \]Therefore, 100,000 atoms with a molar mass of 32 g/mol is approximately 5.32 × 10^(-18) grams.

## how to convert atom to gram?

**How to Convert Atom to Gram?**

**Determine the Molar Mass:**Find the molar mass of the substance in grams per mole (g/mol). This information is typically available on the periodic table.**Count the Number of Atoms:**Determine the number of atoms you have.**Use Avogadro's Number:**Utilize Avogadro's number, which is approximately \(6.022 \times 10^{23}\) atoms/mol. This represents the number of atoms in one mole of a substance.**Apply the Conversion Formula:**Use the formula:
\[ \text{Mass (g)} = \left( \frac{\text{Number of Atoms}}{\text{Avogadro’s Number}} \right) \times \text{Molar Mass} \]
**Example:**Suppose you have \(2 \times 10^{24}\) atoms of carbon (C). The molar mass of carbon is approximately \(12 \, \text{g/mol}.\)

Substitute the values into the formula and calculate.

Mass (g) = \(\left( \frac{2 \times 10^{24}}{6.022 \times 10^{23}} \right) \times 12 \, \text{g/mol}.\)

Mass (g) ≈ 39.77 g

So, \(2 \times 10^{24}\) atoms of carbon is approximately 39.77 grams.