Atoms to Grams Calculator:
Enter the values of number of atoms, N, Avogadro’s number, NA and molar mass of the substance, M(g/mol) to determine the value of Mass, M(g).
Atoms to Grams Formula:
The conversion from atoms to grams involves determining the mass of a substance when given its number of atoms. This calculation uses the concept of molar mass and Avogadro’s number, which is 6.022 * 1023 atoms/mole, representing the number of atoms in one mole of a substance. The molar mass is the mass of one mole of a substance in grams and is typically found on the periodic table for elements or calculated for compounds.
To calculate the mass in grams, the number of atoms is first converted to moles by dividing by Avogadro’s number. Then, the number of moles is multiplied by the molar mass of the substance. This process ensures accurate measurement of mass from a given atomic quantity and is crucial in chemistry for stoichiometric calculations and practical laboratory work.
Mass, M(g) in grams equals the number of atoms, N divided by Avogadro’s number, NA, multiplied by the molar mass of the substance, M(g/mol) in grams per mole.
Mass, M(g) = N / NA * M(g/mol)
M(g) = mass in grams, g.
N = number of atoms.
NA = Avogadro’s Number(6.022 * 1023).
M(g/mol) = molar mass of the substance in grams per mole, g/mol.
Atoms to Grams Calculation:
1.A sample contains 3.011 * 1023 atoms of Carbon (C). The molar mass of Carbon is 12 g/mole. Calculate the mass in grams.
Given: N = 3.011 * 1023, NA = 6.022 * 1023, M(g/mol) = 12g/mol.
Mass, M(g) = N / NA * M(g/mol)
M(g) = 3.011 * 1023 / 6.022 * 1023 * 12
M(g) = 0.5 * 12
M(g) = 6g.
2.A sample weighs 24 grams and is made of Oxygen (O). The molar mass of Oxygen is 16 g/mole. Calculate the number of atoms.
Given: M(g) = 24g, NA = 6.022 * 1023, M(g/mol) = 16g/mol.
Mass, M(g) = N / NA * M(g/mol)
N = M(g) / M(g/mol) * NA
N = 24 / 16 * 6.022 * 1023
N = 9.033 * 1023 atoms.