What mass of sodium has the same number of atoms as 50.0 g of calcium?
massNa/molmassNa=50/molmassCa
MassNa=23*50/40
To determine the mass of sodium that has the same number of atoms as 50.0 g of calcium, we need to compare the moles of calcium to the moles of sodium.
First, we need to determine the number of moles of calcium. We can do this by using the molar mass of calcium, which is 40.08 g/mol. The formula to calculate moles is:
Moles = Mass (in grams) / Molar mass
Moles of calcium = 50.0 g / 40.08 g/mol
Moles of calcium ≈ 1.248 moles
Now, since the number of atoms is the same for both calcium and sodium, we can equate the moles of calcium to the moles of sodium. Sodium has a molar mass of 22.99 g/mol. Rearranging the equation, we get:
Moles of sodium = Moles of calcium
Moles of sodium = 1.248 moles
Finally, we can calculate the mass of sodium by multiplying the number of moles of sodium by its molar mass:
Mass of sodium = Moles of sodium x Molar mass of sodium
Mass of sodium = 1.248 moles x 22.99 g/mol
Mass of sodium ≈ 28.66 g
Therefore, the mass of sodium that has the same number of atoms as 50.0 g of calcium is approximately 28.66 g.