Calculate the mass of. aluminum. That would have The same number of atoms as. 6.35 gram off cadmium.
To calculate the mass of aluminum that would have the same number of atoms as 6.35 grams of cadmium, we need to know the molar mass of both elements.
The molar mass of cadmium (Cd) is 112.41 g/mol, and the molar mass of aluminum (Al) is 26.98 g/mol.
First, we calculate the number of moles of cadmium:
Number of moles of Cd = Mass of Cd / Molar mass of Cd
Number of moles of Cd = 6.35 g / 112.41 g/mol
Number of moles of Cd ≈ 0.056 moles
Since the number of atoms is directly proportional to the number of moles, the same number of moles of aluminum will have the same number of atoms.
Now, we calculate the mass of aluminum:
Mass of Al = Number of moles of Al * Molar mass of Al
Mass of Al = 0.056 moles * 26.98 g/mol
Mass of Al ≈ 1.512 g
Therefore, the mass of aluminum that would have the same number of atoms as 6.35 grams of cadmium is approximately 1.512 grams.
To calculate the mass of aluminum that would have the same number of atoms as 6.35 grams of cadmium, you will need to use the molar mass and Avogadro's number.
First, determine the molar mass of cadmium (Cd). The atomic mass of cadmium is approximately 112.41 grams per mole.
Next, use Avogadro's number, which is 6.022 x 10^23 atoms per mole, to calculate the number of cadmium atoms in 6.35 grams.
Number of atoms of cadmium = (6.35 grams) x (1 mole / 112.41 grams) x (6.022 x 10^23 atoms / 1 mole)
Now, you can calculate the mass of aluminum (Al) that would have the same number of atoms.
Mass of aluminum = (Number of atoms of cadmium) x (27 grams / 6.022 x 10^23 atoms)
You can substitute the calculated value of the number of atoms of cadmium into the formula to calculate the mass of aluminum.