the isotopic abundance of C-12 and c-14 is 98% and 2% by mass respectively. what would be the no. of atoms of c-14 isotope in 12g carbon sample?

mols C = 12g/12 = 1

1 mol contains 6.02E23 atoms.
98% of those will be C-12 and 2% will be C-14; therefore, number atoms C-14 = 6.02E23 x 0.02 = ?

1.02*1022

To find the number of atoms of C-14 isotope in a 12g carbon sample, you need to follow these steps:

Step 1: Determine the total number of moles of carbon.
You can use the atomic mass of carbon (approximately 12g/mol) to find the number of moles in 12g of carbon.
Given mass of carbon = 12g
Atomic mass of carbon = 12g/mol
Number of moles of carbon = Mass of carbon / Atomic mass of carbon = 12g / 12g/mol = 1 mol

Step 2: Calculate the number of moles of C-14 isotope.
Since the isotopic abundance of C-14 is 2% by mass, we can calculate the number of moles of C-14.
Percentage of C-14 = 2%
Percentage of C-12 = 98%
Moles of C-14 = Percentage of C-14 / 100 * Total moles of carbon
= 2% / 100 * 1 mol
= 0.02 mol

Step 3: Calculate the number of atoms of C-14 isotope.
To convert moles to atoms, multiply the number of moles by Avogadro's number, which is approximately 6.022 × 10^23 atoms/mol.
Number of atoms of C-14 isotope = Moles of C-14 * Avogadro's number
= 0.02 mol * 6.022 × 10^23 atoms/mol
= 1.204 × 10^22 atoms

Therefore, there would be approximately 1.204 × 10^22 atoms of C-14 isotope in a 12g carbon sample.