Which one of the following statements is not true concerning 2.00 L of a 0.100 M solution of Ca3(PO4)2?

(A) This solution contains 0.200 mol of Ca3(PO4)2.
(B) This solution contains 0.800 mol of oxygen atoms.
(C) 1.00 L of this solution is required to furnish 0.300 mol of Ca2+ ions.
(D) There are 6.022 × 1023 phosphorus atoms in 5.0 L of this solution.
(E) This solution contains 0.600 mol of Ca2+ ions.

Respuesta :

Answer: The correct answer is Option B.

Explanation:

To calculate the molarity of solution, we use the equation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}}{\text{Volume of solution (in L)}}[/tex]     .......(1)

  • For A:

Molarity of calcium phosphate solution = 0.100 M

Volume of solution = 2.00 L

Putting values in equation 1, we get:

[tex]0.100M=\frac{\text{Moles of }Ca_3(PO_4)_2}{2.00}\\\\\text{Moles of }Ca_3(PO_4)_2=(0.100mol/L\times 2.00L)=0.200mol[/tex]

Moles of calcium phosphate = 0.200 moles

  • For B:

1 mole of calcium phosphate contains 3 moles of calcium atoms, 2 moles of phosphate atoms and 8 moles of oxygen atoms.

So, 0.200 moles of calcium phosphate will contain = [tex](8\times 0.200)=1.6[/tex] moles of oxygen atoms.

Moles of oxygen atoms = 1.6 moles

  • For C:

Molarity of calcium phosphate solution = 0.100 M

Volume of solution = 1.00 L

Putting values in equation 1, we get:

[tex]0.100M=\frac{\text{Moles of }Ca_3(PO_4)_2}{1.00}\\\\\text{Moles of }Ca_3(PO_4)_2=(0.100mol/L\times 1.00L)=0.100mol[/tex]

Moles of calcium ions = [tex](0.100\times 3)=0.300[/tex] moles

  • For D:

Molarity of calcium phosphate solution = 0.100 M

Volume of solution = 5.00 L

Putting values in equation 1, we get:

[tex]0.100M=\frac{\text{Moles of }Ca_3(PO_4)_2}{5.00}\\\\\text{Moles of }Ca_3(PO_4)_2=(0.100mol/L\times 5.00L)=0.500mol[/tex]

Moles of phosphorus atoms = [tex](0.500\times 2)=1.00[/tex] moles

According to mole concept:

1 mole of a compound contains [tex]6.022\times 10^{23}[/tex] number of atoms

Number of phosphorus atoms in 0.500 moles of calcium phosphate will be = [tex](1.00\times 6.022\times 10^{23})=6.022\times 10^{23}[/tex]

  • For E:

1 mole of calcium phosphate contains 3 moles of calcium ions and 2 moles of phosphate ions.

So, 0.200 moles of calcium phosphate will contain = [tex](3\times 0.200)=0.600[/tex] moles of calcium ions

Moles of calcium ions = 0.600 moles

Hence, the correct answer is Option B.