Given that the carbon atom has a mass of 12 amu, how many carbon atoms are there in a diamond with a mass of 8 g?
....atoms
To find the number of carbon atoms in a diamond with a given mass, we need to use the concept of molar mass and the Avogadro's number.
Here's how you can calculate it:
Step 1: Convert the mass of the diamond to grams.
Since the mass of the diamond is given as 8 g, we don't need to make any conversions in this step.
Step 2: Calculate the moles of carbon in the diamond.
To calculate the moles, we use the molar mass of carbon, which is 12 g/mol (according to the periodic table). We can use the formula:
moles = mass (in grams) / molar mass
moles of carbon = 8 g / 12 g/mol
Step 3: Calculate the Avogadro's number.
Avogadro's number is defined as 6.022 x 10^23 atoms/mol. This means that in one mole of any substance, there are 6.022 x 10^23 atoms present.
Step 4: Calculate the number of carbon atoms in the diamond.
To calculate the number of carbon atoms, we multiply the moles of carbon by Avogadro's number:
number of carbon atoms = moles of carbon * Avogadro's number
Now, we can substitute the values into the equation:
number of carbon atoms = (8 g / 12 g/mol) * (6.022 x 10^23 atoms/mol)
Calculating this expression will give us the number of carbon atoms in the diamond.