explain how you would convert from number of atoms of a specific element to its mass
There are 6.022 x 10^23 atoms in a mole of atoms.
number of atoms/6.022 x 10^23 = number of moles. Then moles x atomic mass element = grams of the element.
To convert from the number of atoms of a specific element to its mass, you need to follow a series of steps that involve formulating and using the concept of molar mass. Here's how you can do it:
Step 1: Ensure you have the number of atoms of the specific element. This can be given as Avogadro's number (6.022 x 10^23 atoms/mol) if you have a mole quantity. If you have a specific number of atoms, you can skip to step 2.
Step 2: Determine the atomic number or the atomic mass of the element you are working with. This information can be found on the periodic table. Let's take carbon (C) with an atomic mass of 12.01 g/mol as an example.
Step 3: Calculate the molar mass (M) of the element. Molar mass is the mass of one mole of a substance and it is expressed in grams per mole (g/mol). For carbon, the molar mass is 12.01 g/mol.
Step 4: Divide the number of atoms by Avogadro's number to convert it to moles. If you already have the number of atoms in moles, you can skip to step 5.
Step 5: Multiply the number of moles by the molar mass to obtain the mass of the element. The result will be in grams. This can be done using the formula: Mass (g) = Number of moles x Molar mass.
For example, let's say you have 2.5 x 10^23 atoms of carbon. We'll use the molar mass of carbon, which is 12.01 g/mol.
Step 1: Given atoms of carbon: 2.5 x 10^23 atoms.
Step 2: Atomic mass of carbon (C): 12.01 g/mol.
Step 3: Molar mass of carbon (C): 12.01 g/mol.
Step 4: Convert atoms to moles: 2.5 x 10^23 atoms / (6.022 x 10^23 atoms/mol) = 0.4149 mol (approximated).
Step 5: Calculate the mass: 0.4149 mol x 12.01 g/mol = 4.981 g (approximated).
Therefore, 2.5 x 10^23 atoms of carbon would have a mass of approximately 4.981 grams.
Remember to always use the correct molar mass and units when performing these conversions.