indigo C16H10N2O2 (numbers are suppose to b as a subscript) is the common name of the dye that gives blue jeans their characteristic colour. Calculate the mass of oxygenin 25.0g og indigo. show your work.
To calculate the mass of oxygen in 25.0 g of indigo (C16H10N2O2), we first need to determine the molar mass of indigo.
The molar mass is calculated by adding up the atomic masses of all the atoms in the molecule. To calculate the molar mass of indigo, we can use the periodic table to look up the atomic masses of carbon (C), hydrogen (H), nitrogen (N), and oxygen (O):
Carbon (C) has an atomic mass of 12.01 g/mol
Hydrogen (H) has an atomic mass of 1.008 g/mol
Nitrogen (N) has an atomic mass of 14.01 g/mol
Oxygen (O) has an atomic mass of 16.00 g/mol
So let's calculate the molar mass of indigo:
(16 C atoms × 12.01 g/mol) + (10 H atoms × 1.008 g/mol) + (2 N atoms × 14.01 g/mol) + (2 O atoms × 16.00 g/mol)
= (192.16 g/mol) + (10.08 g/mol) + (28.02 g/mol) + (32.00 g/mol)
= 262.26 g/mol
Now that we know the molar mass of indigo, we can calculate the mass of oxygen in 25.0 g of indigo.
First, we need to find the number of moles of indigo in 25.0 g. We can use the formula:
moles = mass / molar mass
moles of indigo = 25.0 g / 262.26 g/mol
= 0.0952 mol
Since the formula for indigo (C16H10N2O2) has 2 oxygen (O) atoms, there are 0.0952 mol × 2 O atoms = 0.1904 mol of oxygen present.
Finally, to find the mass of oxygen, we can use the formula:
mass = moles × molar mass
mass of oxygen = 0.1904 mol × 16.00 g/mol
= 3.0464 g
Therefore, the mass of oxygen in 25.0 g of indigo is approximately 3.0464 grams.