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How many moles of KNO3 are present in 500.0 mL of a 2.0 M KNO3 solution?
A
2.0 mol
B
1.0 mol
C
0.25 mol
D
0.5 mol
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1
Identify the given information: the volume of the solution is 500.0 mL and the molarity (M) of KNO3 is 2.0 M.
Convert the volume from milliliters to liters because molarity is expressed in moles per liter. Use the conversion: \(1\, \text{L} = 1000\, \text{mL}\). So, \(500.0\, \text{mL} = \frac{500.0}{1000} = 0.500\, \text{L}\).
Recall the definition of molarity: \(M = \frac{\text{moles of solute}}{\text{liters of solution}}\).
Rearrange the molarity formula to solve for moles of solute: \(\text{moles of solute} = M \times \text{liters of solution}\).
Substitute the known values into the equation: \(\text{moles of KNO3} = 2.0\, \text{mol/L} \times 0.500\, \text{L}\). This will give the number of moles of KNO3 in the solution.