What is the mass of one carbon atom in grams? (Given molar mass of carbon is 12 gram)

The mass of a single carbon atom can be determined using its molar mass and Avogadro's number. The molar mass of carbon is approximately 12 grams per mole, which means that one mole of carbon atoms weighs 12 grams. To find the mass of one individual carbon atom, we need to divide the molar mass by Avogadro's number, which is about 6.022 x 10²³ atoms per mole.

Calculating the Mass of One Carbon Atom

Let’s break down the calculation step by step:

• Molar Mass of Carbon: 12 grams/mole
• Avogadro's Number: 6.022 x 10²³ atoms/mole

To find the mass of a single carbon atom, we use the formula:

Mass of one carbon atom = (Molar mass of carbon) / (Avogadro's number)

Substituting the values into the formula gives:

Mass of one carbon atom = 12 grams/mole / 6.022 x 10²³ atoms/mole

Now, performing the division:

Mass of one carbon atom ≈ 1.99 x 10^-23 grams

Understanding the Result

This result means that a single carbon atom has an incredibly small mass, approximately 1.99 x 10^-23 grams. To put this into perspective, if you were to weigh out a mole of carbon atoms, you would have 12 grams, but each individual atom is so light that it is difficult to comprehend without the context of the scale involved.

Real-World Implications

Understanding the mass of individual atoms is crucial in fields like chemistry and materials science. For instance, when calculating the amounts of substances needed for chemical reactions, knowing the mass of individual atoms helps chemists determine how much of each reactant is required to achieve the desired outcome.

In summary, the mass of one carbon atom is approximately 1.99 x 10^-23 grams, a figure that highlights the minuscule scale at which atomic interactions occur. This understanding is foundational in both theoretical and practical applications in science.