The mass of a single niobium atom is 1.54E-22 grams. How many niobium atoms would there be in 312 milligrams of niobium?
To find the number of niobium atoms in a given mass, you'll need to use the concept of molar mass and Avogadro's number.
Step 1: Determine the molar mass of niobium.
The molar mass of niobium (Nb) can be found on the periodic table. It is approximately 92.91 grams per mole (g/mol).
Step 2: Convert the given mass from milligrams to grams.
312 milligrams (mg) is equal to 0.312 grams (g). This conversion is done by dividing the mass in milligrams by 1000.
Step 3: Calculate the number of moles of niobium.
To find the number of moles, divide the given mass by the molar mass of niobium:
Number of moles = Mass (g) / Molar mass (g/mol)
In this case, it will be:
Number of moles = 0.312 g / 92.91 g/mol
Step 4: Use Avogadro's number to determine the number of niobium atoms.
Avogadro's number (N_A) is approximately 6.022 × 10^23 atoms per mole. Multiply the number of moles by Avogadro's number to find the number of niobium atoms:
Number of atoms = Number of moles × Avogadro's number
In this case, it will be:
Number of atoms = Number of moles × 6.022 × 10^23
Now, let's calculate the number of niobium atoms in 312 milligrams of niobium.
Number of moles = 0.312 g / 92.91 g/mol = 0.00336 mol
Number of atoms = 0.00336 mol × 6.022 × 10^23 = 2.02 × 10^21 niobium atoms
Therefore, there would be approximately 2.02 × 10^21 niobium atoms in 312 milligrams of niobium.
To find the number of niobium atoms in 312 milligrams of niobium, we need to use the concept of molar mass and Avogadro's number.
1. Convert 312 milligrams to grams:
1 gram = 1000 milligrams
312 milligrams = 312/1000 grams = 0.312 grams
2. Calculate the number of moles of niobium:
Moles = mass / molar mass
The molar mass of niobium (Nb) is given as 1.54E-22 grams.
Moles = 0.312 grams / (1.54E-22 grams)
≈ 2.025974E+22 moles
3. Convert moles to the number of atoms using Avogadro's number:
1 mole = 6.02214076E+23 atoms
Number of atoms = moles * Avogadro's number
Number of atoms = 2.025974E+22 moles * 6.02214076E+23 atoms
≈ 1.219844E+46 atoms
Therefore, there would be approximately 1.219844E+46 niobium atoms in 312 milligrams of niobium.
moles Nb = grams/molar mass
1 mole of Nb atoms contains 6.022E23 Nb atoms.