If one atomic mass unit is equal to 1.6606 x 10-24 g, what is the mass in grams of 83549 atoms of Cu? (find in grams)
To find the mass in grams of 83549 atoms of Cu, we need to use the molar mass of copper (Cu). The molar mass of an element is calculated by adding up the atomic masses of all the atoms in one mole of the element.
The atomic mass of copper (Cu) is approximately 63.55 g/mol. This means that one mole of copper atoms has a mass of 63.55 grams.
To find the mass of 83549 atoms, we can use the following steps:
1. Determine the number of moles of copper atoms in 83549 atoms.
- Divide the given number of atoms (83549) by Avogadro's number (6.022 x 10^23 atoms/mol). This will give us the number of moles.
- Moles = 83549 atoms ÷ (6.022 x 10^23 atoms/mol)
2. Calculate the mass of copper atoms in grams.
- Multiply the number of moles by the molar mass of copper (Cu).
- Mass = Moles x Molar mass
- Mass = Moles x 63.55 g/mol
Let's calculate the mass in grams using the given information:
1. Number of moles of copper atoms:
Moles = 83549 atoms ÷ (6.022 x 10^23 atoms/mol)
Moles ≈ 1.386 x 10^-19 mol
2. Mass of copper atoms in grams:
Mass = Moles x Molar mass
Mass ≈ (1.386 x 10^-19 mol) x (63.55 g/mol)
Mass ≈ 8.802 x 10^-18 g
Therefore, the mass in grams of 83549 atoms of Cu is approximately 8.802 x 10^-18 grams.