How many moles of oxygen atoms are contained in 1.86 x 10-2 mol CuSO4·5H2O

There are 9 oxygen atoms in 1 molecule of CuSO4.5H2O (which is the same as saying there are 9 moles oxygen atoms in 1 mole of CuSO4.5H2O).

So 0.0186 moles CuSO4.5H2O must contain 9*0.0186 moles oxygen atoms.

To determine the number of moles of oxygen atoms in 1.86 x 10^(-2) mol of CuSO4·5H2O, we first need to determine the number of moles of CuSO4·5H2O in this sample.

CuSO4·5H2O has one Cu atom, one S atom, four O atoms, and ten H2O molecules. The molar mass of CuSO4 is 63.55 g/mol, and the molar mass of H2O is 18.02 g/mol. Therefore, the molar mass of CuSO4·5H2O is:

Molar mass of CuSO4·5H2O = (63.55 g/mol + 32.06 g/mol + (16.00 g/mol x 4)) + (18.02 g/mol x 5)
= 159.62 g/mol + 90.10 g/mol
= 249.72 g/mol

Now we can determine the number of moles of CuSO4·5H2O in the given sample:

Moles of CuSO4·5H2O = (1.86 x 10^(-2) mol) x (1 mol / 249.72 g)
= 7.45 x 10^(-5) mol

Since there are 4 O atoms in one molecule of CuSO4·5H2O, the number of moles of oxygen atoms is:

Moles of O atoms = (7.45 x 10^(-5) mol) x (4 O atoms / 1 molecule)
= 2.98 x 10^(-4) mol

Therefore, there are 2.98 x 10^(-4) moles of oxygen atoms in 1.86 x 10^(-2) mol of CuSO4·5H2O.

To determine the number of moles of oxygen atoms in 1.86 x 10^-2 mol of CuSO4·5H2O, we need to consider the formula of the compound. CuSO4·5H2O is a hydrated compound that contains water molecules, denoted by the "·5H2O" part.

From the formula, we can see that each CuSO4·5H2O unit contains five water molecules (H2O). Each water molecule has two hydrogen atoms (H) and one oxygen atom (O).

So, for each CuSO4·5H2O unit, there are 5 x 1 = 5 oxygen atoms.

Since we have 1.86 x 10^-2 mol of CuSO4·5H2O, we can multiply this by the number of oxygen atoms per CuSO4·5H2O unit:

Number of moles of oxygen atoms = 1.86 x 10^-2 mol CuSO4·5H2O x 5 atoms of O / 1 mol of CuSO4·5H2O

Calculating this expression gives us:

Number of moles of oxygen atoms = 1.86 x 10^-2 mol x 5 / 1 = 9.3 x 10^-2 mol

Therefore, there are 9.3 x 10^-2 moles of oxygen atoms in 1.86 x 10^-2 mol of CuSO4·5H2O.