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Multiple Choice
Which of the following solutions would you expect to have the greatest molarity?
A
1 mole of NaCl dissolved in 2 liters of water
B
0.5 moles of NaCl dissolved in 1 liter of water
C
1 mole of NaCl dissolved in 1 liter of water
D
0.5 moles of NaCl dissolved in 0.5 liters of water
Verified step by step guidance
1
Understand that molarity (M) is defined as the number of moles of solute divided by the volume of solution in liters. The formula is: M = \( \frac{\text{moles of solute}}{\text{liters of solution}} \).
Calculate the molarity for each solution option. Start with the first option: 1 mole of NaCl dissolved in 2 liters of water. Use the formula: M = \( \frac{1 \text{ mole}}{2 \text{ liters}} \).
Next, calculate the molarity for the second option: 0.5 moles of NaCl dissolved in 1 liter of water. Use the formula: M = \( \frac{0.5 \text{ moles}}{1 \text{ liter}} \).
For the third option, calculate the molarity: 1 mole of NaCl dissolved in 1 liter of water. Use the formula: M = \( \frac{1 \text{ mole}}{1 \text{ liter}} \).
Finally, calculate the molarity for the fourth option: 0.5 moles of NaCl dissolved in 0.5 liters of water. Use the formula: M = \( \frac{0.5 \text{ moles}}{0.5 \text{ liters}} \). Compare the calculated molarities to determine which solution has the greatest molarity.