Proton Chemistry Example 2

Follow the full solution, then compare it with the other examples linked below.

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The mass of a single proton is approximately

1.673 \times 10^{-24}

g. How many protons would it take to have a combined mass of

1

1
Each proton has a mass of approximately $1.673 \times 10^{-24}\,\text{g}$ . Set up the division: $\text{Number of protons} = \frac{\text{total mass}}{\text{mass per proton}} = \frac{1\,\text{g}}{1.673 \times 10^{-24}\,\text{g}}$
2
Perform the calculation: $\frac{1}{1.673 \times 10^{-24}} = \frac{10^{24}}{1.673} \approx 5.98 \times 10^{23}$
3
This number is close to Avogadro's number, which makes sense because hydrogen nuclei are essentially single protons.

Answer

\approx 5.98 \times 10^{23}\text{ protons}

This number is remarkably close to Avogadro's number (

6.022 \times 10^{23}

), which connects the atomic scale to the macroscopic scale we work with in the laboratory.

About Proton

A positively charged subatomic particle found in the nucleus of every atom, with a charge of $+1$ and a mass of approximately 1 atomic mass.

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