There are 6.022 x 10^23 atoms in 0.1 moles of carbon.
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The question posed is: how many atoms are there in 0.1 moles of carbon? The answer is that there are 6.022 x 10^23 atoms in 0.1 moles of carbon. This number, better known as Avogadro’s number, was first introduced by Amedeo Avogadro in 1811 and is a fundamental constant in chemistry.
Avogadro’s number represents the number of atoms or molecules in one mole of any substance. A mole is a unit of measurement that allows scientists to calculate how many particles are present in a given amount of substance. One mole of any substance contains the same number of atoms or molecules as there are in 12 grams of carbon-12, which is defined as having 6 protons and 6 neutrons.
To put Avogadro’s number into perspective, here are some interesting facts:
- The number of stars in the observable universe is estimated to be between 10^22 to 10^24. Avogadro’s number is in the same order of magnitude, which highlights the vastness of the universe.
- If we were to count to Avogadro’s number at a rate of 1 count per second, it would take over 19 million years to reach this number.
- The International System of Units (SI) redefined the kilogram in 2019 to be based on a fundamental constant of nature, the Planck constant. This allows for a more precise definition of Avogadro’s number, which in turn improves measurements in various fields, such as pharmaceuticals, nanotechnology, and energy.
As for the number of atoms in 0.1 moles of carbon, here is a table showing the number of atoms in different amounts of moles:
| Moles of Carbon | Number of Atoms |
|---|---|
| 0.1 | 6.022 x 10^23 |
| 0.2 | 1.204 x 10^24 |
| 0.5 | 3.011 x 10^24 |
| 1 | 6.022 x 10^24 |
| 2 | 1.204 x 10^25 |
In summary, Avogadro’s number represents the number of atoms or molecules in one mole of any substance and is a fundamental constant in chemistry. 0.1 moles of carbon contains 6.022 x 10^23 atoms, which highlights the incredible scale of atoms and the importance of Avogadro’s number in scientific calculations.
Associated video
The video explains that Avogadro’s number of atoms or molecules is present in one mole, or 6.02 x 10^23 atoms. To determine the number of moles from the number of atoms, one must divide the number by Avogadro’s number. Similarly, one must multiply by Avogadro’s number to go from moles to particles and divide by Avogadro’s number to go from particles to moles. Understanding the concept of Avogadro’s number is important in the field of chemistry.
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Number of mol is calculated by ratio of given mass to the molar mass. Given: Number of mol of carbon = 0.1 mol. Hence, the number of atoms in $0.1 \ mol$ of carbon atom is $0.1 \ {{N}_{A}}$ atoms or $6.022\times{{10}^{22}}$ atoms.
Number of Carbon atoms in 1 mole is indicated by its molecular formula; C12H22O11. Since number of moles and atoms (or molecules)are directly proportional to each other, we can apply unitary method. We can proceed as :
More intriguing questions on the topic
Similarly one may ask, How many atoms are there in 0.1 mole? In reply to that: Thus, number of atoms present in 0.1 mole of sulphur is 4. 8×1023 atoms.
How many atoms of carbon are there in 1.00 mol of carbon? 6.022 × 1023 atoms
The value of the mole is equal to the number of atoms in exactly 12 grams of pure carbon-12. 12.00 g C-12 = 1 mol C-12 atoms = 6.022 × 1023 atoms • The number of particles in 1 mole is called Avogadro’s Number (6.0221421 x 1023).
What is the mass of 0.1 mole of carbon?
As a response to this: Mass of 0.1 mole of CO2 will be 44 x 0.1 = 4.4 g.
What is 1.0 moles of carbon?
Answer will be: 12.01 grams
Example: Carbon (atomic mass = 12.01) – 1 mole of Carbon weighs 12.01 grams. This means that 6.022×1023 carbon atoms (or molecules) weights 12.01 grams.