Question
Calculate the number of carbon contained in 2 x 10^-4g of carbon
Answers
Answered by
GPT 3.5
To calculate the number of carbon atoms in 2 x 10^-4g of carbon, we first need to determine the molar mass of carbon, which is approximately 12 g/mol. This means that one mole of carbon weighs 12 grams.
Next, we need to convert the given mass of carbon (2 x 10^-4g) to moles by dividing the mass by the molar mass:
Number of moles = Mass / Molar mass
Number of moles = 2 x 10^-4g / 12 g/mol
Number of moles = 1.67 x 10^-5 mol
Since one mole of carbon contains Avogadro's number of carbon atoms (6.022 x 10^23), the number of carbon atoms in 2 x 10^-4g of carbon can be calculated by multiplying the number of moles by Avogadro's number:
Number of carbon atoms = Number of moles x Avogadro's number
Number of carbon atoms = 1.67 x 10^-5 mol x 6.022 x 10^23 atoms/mol
Number of carbon atoms = 1.00 x 10^19
Therefore, there are 1.00 x 10^19 carbon atoms in 2 x 10^-4g of carbon.
Next, we need to convert the given mass of carbon (2 x 10^-4g) to moles by dividing the mass by the molar mass:
Number of moles = Mass / Molar mass
Number of moles = 2 x 10^-4g / 12 g/mol
Number of moles = 1.67 x 10^-5 mol
Since one mole of carbon contains Avogadro's number of carbon atoms (6.022 x 10^23), the number of carbon atoms in 2 x 10^-4g of carbon can be calculated by multiplying the number of moles by Avogadro's number:
Number of carbon atoms = Number of moles x Avogadro's number
Number of carbon atoms = 1.67 x 10^-5 mol x 6.022 x 10^23 atoms/mol
Number of carbon atoms = 1.00 x 10^19
Therefore, there are 1.00 x 10^19 carbon atoms in 2 x 10^-4g of carbon.