Answer
47.73 g CuO
Step-by-step explanation
Given:
Chemical equation: 3CuO+ 2H3PO4 = Cu3(PO4)2 + 3H20
mass of orthophosphate acid (Cu3(PO4)2) = 39.2 g
Required: The mass of CuO
Solution:
![\begin{gathered} 39.2g\text{ H}_3PO_4\text{ x }\frac{1\text{ mol H}_3PO_4}{97,994g\text{ H}_3PO_4}\text{ x }\frac{3\text{ moles CuO}}{2\text{ moles H}_3PO_4}\text{ x }\frac{79,545g\text{ CuO}}{1mole\text{ CuO}} \\ \\ =\text{ 47.73 g CuO} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/high-school/40e0g4z4v2sleiltcjqei5jickbfkh2vxz.png)
Second method:
Step 1: Find the moles of H3PO4
n = m/M where m is the mass and M is the molar mass of H3PO4
n = 39.2g/97.994g.mol^-1
n = 0.400 mol
Step 2: Use the stoichiometry to find the moles of CuO
The molar ratio between CuO and H3PO4 is 3:2
Therefore the moles of CuO = 0.400 mol x (3/2) = 0.600 mol
Step 3: Find the mass of CuO, now that we have moles
m = n x M m is the mass, n is the moles and M is the molar mass
m = 0.600 mol x 79,545 g/mol
m = 47.73 g