16.4g of solute is present in 500mL of the solution.
Step-by-step explanation:
Given:
Volume of solution, V = 500mL = 0.5L
Molarity of Sodium phosphate, M = 0.2M
Molecular weight of Na₃PO₄ = 164 g/mol
Mass of the solute, m = ?
We know:
![Molarity = (moles of the solute)/(Volume of solution in litres)](https://img.qammunity.org/2021/formulas/chemistry/high-school/2vzunl3mjv28smwt5vt48isnpsw35zhvcs.png)
And
Number of moles =
![(mass of the solute)/(molecular weight)](https://img.qammunity.org/2021/formulas/chemistry/high-school/55gubnf0y2bcfia7uyvyakopod5f63d8h5.png)
On substituting the value we get:
![0.2 = (m)/(164) X (1)/(0.5) \\\\m = 0.2 X 164 X 0.5\\\\m = 16.4 g](https://img.qammunity.org/2021/formulas/chemistry/high-school/s6qetfuacwo3v7rnpnifj979o24bufyetz.png)
Therefore, 16.4g of solute is present in 500mL of the solution.