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Multiple Choice
If 920 mL of water is added to 78.0 mL of a 1.28 M HBrO4 solution what is the resulting molarity?
A
0.110 M
B
15.1 M
C
0.100 M
D
0.119 M
Verified step by step guidance
1
First, calculate the initial number of moles of HBrO4 in the solution using the formula: \( \text{moles} = \text{molarity} \times \text{volume in liters} \). Convert 78.0 mL to liters by dividing by 1000.
Use the initial molarity (1.28 M) and the converted volume (0.078 L) to find the moles of HBrO4: \( \text{moles of HBrO4} = 1.28 \times 0.078 \).
Next, determine the total volume of the solution after adding water. Add the initial volume of the HBrO4 solution (78.0 mL) to the volume of water added (920 mL) to get the total volume in mL, then convert this total volume to liters.
Calculate the resulting molarity of the solution using the formula: \( \text{molarity} = \frac{\text{moles of solute}}{\text{total volume in liters}} \). Use the moles calculated in step 2 and the total volume in liters from step 3.
Finally, simplify the expression to find the resulting molarity of the solution. This will give you the concentration of HBrO4 after dilution.