What is the molarity of a solution containing 0.45 moles of NaCl in 4 liters?
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A
0.11 M NaCl
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B
0.45 M NaCl
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C
1.8 M NaCl
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D
8.9 M NaCl
The molarity of the solution is 0.11 M NaCl.
Molarity is a measure of concentration defined as the number of moles of solute dissolved per liter of solution. It tells us how much substance is present in a given volume. The formula used is
M = moles of solute ÷ liters of solution.
In this case, the solution contains 0.45 moles of NaCl dissolved in 4 liters of solution. Dividing the moles by the volume gives:
0.45 ÷ 4 = 0.1125 M, which rounds to approximately 0.11 M.
A. 0.11 M NaCl
This is correct. The calculated molarity of 0.1125 M rounds to 0.11 M, matching this option.
B. 0.45 M NaCl
A molarity of 0.45 M would occur only if 0.45 moles of NaCl were dissolved in 1 liter, not 4 liters.
C. 1.8 M NaCl
This value results from incorrectly dividing the volume by the moles instead of dividing moles by volume.
D. 8.9 M NaCl
This value is far too large and does not correspond to any correct calculation using the given data.
Conclusion
Using the molarity formula and the given values, the concentration of the NaCl solution is approximately 0.11 moles per liter.

Topic Flashcards
Click to FlipWhat is the definition of molarity, and what is its standard unit?
Molarity is the concentration of a solution, defined as the number of moles of solute per liter of solution. Its unit is moles per liter (M or mol/L).
Rearrange the molarity formula (M = mol / L) to solve for the number of moles of solute.
Moles of solute = Molarity (M) × Volume of solution (L).
If you have 2.0 moles of KBr dissolved to make 500 mL of solution, what is the molarity?
4.0 M. (Moles = 2.0, Volume = 0.500 L, so M = 2.0 mol / 0.500 L = 4.0 M).
How would the molarity change if you took 1 liter of a 0.5 M NaCl solution and added 1 liter of water to it?
It would be halved. The new molarity would be 0.25 M. (Moles remain constant at 0.5 mol, but volume doubles to 2 L).
Which solution is more concentrated: 0.2 moles of sugar in 0.5 L of water, or 0.4 moles of sugar in 2.0 L of water?
The first solution. M1 = 0.2/0.5 = 0.4 M. M2 = 0.4/2.0 = 0.2 M. Therefore, 0.4 M > 0.2 M.