How many liters of a 0.80 M solution can be made with 2.0 mol [tex]$KNO_3$[/tex]?

[tex]
M = \frac{\text{mol solute}}{\text{volume solution (L)}}
[/tex]

Volume (L) = ?



Answer :

To determine how many liters of a 0.80 M solution can be made with 2.0 moles of potassium nitrate (KNO₃), we'll follow a step-by-step solution according to the formula for molarity.

Step 1: Understand the given data

- The number of moles of solute ([tex]\( n \)[/tex]) is given as 2.0 mol.
- The molarity ([tex]\( M \)[/tex]) of the solution is given as 0.80 M (which is moles of solute per liter of solution).

Step 2: Use the molarity formula

The formula to calculate the volume of the solution is:
[tex]\[ M = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \][/tex]

Rearranging this formula to solve for the volume of solution ([tex]\( V \)[/tex]) gives us:
[tex]\[ V = \frac{\text{moles of solute}}{M} \][/tex]

Step 3: Substitute the known values into the equation

Using the given values:
- Moles of solute ([tex]\( n = 2.0 \)[/tex] mol)
- Molarity ([tex]\( M = 0.80 \)[/tex] M)

Substitute these values in:
[tex]\[ V = \frac{2.0 \text{ mol}}{0.80 \text{ M}} \][/tex]

Step 4: Calculate the solution

[tex]\[ V = \frac{2.0}{0.80} \][/tex]

[tex]\[ V = 2.5 \text{ liters} \][/tex]

Step 5: Conclusion

Therefore, you can make 2.5 liters of a 0.80 M solution with 2.0 moles of KNO₃.