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Multiple Choice
What is the molarity of a solution prepared by dissolving 5.00 g of NaCl in 500.0 mL of water?
A
0.0100 M
B
0.0856 M
C
0.171 M
D
5.84 M
E
10.0 M
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Verified step by step guidance
1
Calculate the molar mass of NaCl. Sodium (Na) has an atomic mass of approximately 22.99 g/mol, and Chlorine (Cl) has an atomic mass of approximately 35.45 g/mol. Add these values to find the molar mass of NaCl.
Convert the mass of NaCl from grams to moles using the formula: \( \text{moles of NaCl} = \frac{\text{mass of NaCl (g)}}{\text{molar mass of NaCl (g/mol)}} \).
Convert the volume of the solution from milliliters to liters, since molarity is expressed in moles per liter. Use the conversion: \( 1 \text{ L} = 1000 \text{ mL} \).
Calculate the molarity of the solution using the formula: \( \text{Molarity (M)} = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \).
Substitute the values obtained from the previous steps into the molarity formula to find the molarity of the NaCl solution.