quarters are 91.67% mass/mass copper and 8.33% mass/mass nickel. if the average quarter weighs 5.67 grams, how many atoms of nickel are in a quarter?
grams Ni = 5.67g x 0.0833 = ??
moles Ni = grams/molar mass.
To determine the number of atoms of nickel in a quarter, we need to follow these steps:
Step 1: Calculate the mass of nickel in a quarter.
Mass of nickel = (8.33% mass/mass nickel / 100%) * 5.67 grams = 0.0833 * 5.67 grams = 0.472611 grams
Step 2: Calculate the molar mass of nickel (Ni).
The molar mass of nickel (Ni) is 58.6934 grams/mol.
Step 3: Calculate the number of moles of nickel.
Number of moles = mass of nickel / molar mass of nickel
Number of moles = 0.472611 grams / 58.6934 grams/mol
Number of moles = 0.008052 mol
Step 4: Calculate the number of atoms using Avogadro's number (6.022 x 10^23 atoms/mol).
Number of atoms = number of moles * Avogadro's number
Number of atoms = 0.008052 mol * 6.022 x 10^23 atoms/mol
Number of atoms = 4.851 x 10^21 atoms
Therefore, there are approximately 4.851 x 10^21 atoms of nickel in a quarter.
To find the number of atoms of nickel in a quarter, we need to follow these steps:
Step 1: Calculate the mass of nickel in a quarter.
Since we know that a quarter is 8.33% nickel by mass and the average weight of a quarter is 5.67 grams, we can find the mass of nickel using the following equation:
Mass of Nickel = 8.33% * 5.67 grams
Step 2: Calculate the number of moles of nickel.
To calculate the number of moles, we need to divide the mass of nickel by its molar mass. The molar mass of nickel is 58.69 g/mol.
Number of Moles of Nickel = Mass of Nickel / Molar Mass of Nickel
Step 3: Calculate the number of atoms of nickel.
The Avogadro's number states that there are 6.022 x 10^23 atoms in one mole of any element. We can use this value to calculate the number of atoms of nickel.
Number of Atoms of Nickel = Number of Moles of Nickel * Avogadro's Number
Let's calculate each step:
Step 1: Mass of Nickel = 8.33% * 5.67 grams
= (8.33 / 100) * 5.67 grams
= 0.0833 * 5.67 grams
≈ 0.472 fractions of a gram
Step 2: Number of Moles of Nickel = Mass of Nickel / Molar Mass of Nickel
= 0.472 grams / 58.69 g/mol
≈ 0.008048 moles
Step 3: Number of Atoms of Nickel = Number of Moles of Nickel * Avogadro's Number
= 0.008048 moles * (6.022 x 10^23 atoms/mol)
≈ 4.8471 x 10^21 atoms of nickel
Therefore, there are approximately 4.8471 x 10^21 atoms of nickel in a quarter.