To calculate the number of sodium (Na) atoms in a solution of sodium bicarbonate (NaHCO3), you need to consider the concentration given in parts per million (ppm) and the volume of the solution. Here's how you can calculate it:
Convert the volume of the solution from milliliters (ml) to liters (L): 10 ml = 10/1000 L = 0.01 L
Convert the ppm concentration to a decimal fraction: 1 ppm = 1 part per million = 1/1,000,000 = 1 × 10^(-6)
Calculate the number of moles of NaHCO3 using the ppm concentration and the volume of the solution: Moles of NaHCO3 = Concentration in ppm × Volume in liters Moles of NaHCO3 = (1 × 10^(-6)) × 0.01 = 1 × 10^(-8) moles
Convert the moles of NaHCO3 to the number of moles of Na atoms: Since there is one Na atom in one molecule of NaHCO3, the number of moles of Na atoms is the same as the moles of NaHCO3.
Convert the moles of Na atoms to the number of Na atoms: One mole contains Avogadro's number of particles, which is approximately 6.022 × 10^23. Multiply the number of moles of Na atoms by Avogadro's number to obtain the number of Na atoms: Number of Na atoms = Moles of Na atoms × Avogadro's number
Substituting the values: Number of Na atoms = (1 × 10^(-8)) × (6.022 × 10^23) Number of Na atoms ≈ 6.022 × 10^15 Na atoms
Therefore, there are approximately 6.022 × 10^15 Na atoms in 10 ml of a 1 ppm NaHCO3 solution.