Question

How much 0.075 M NaCl solution can be made by diluting 450 mL of 9.0 M NaCl? (1L = 1000 mL)

a) Calculate the volume of the dilute solution.
b) Determine the molarity of the dilute solution.

Answer 1

The volume of 0.075 M NaCl solution that can be made by diluting 450 mL of 9.0 M NaCl is 54 L. The molarity of the dilute solution remains as given, which is 0.075 M.

Step-by-step explanation:

The subject of this question is Chemistry, specifically involving the concept of molarity and dilution of solutions. When you're diluting a solution, the amount of solute in the solution remains the same, but the volume it occupies increases.

To answer part (a) of the student's question:

• You have 450 mL of a 9.0 M NaCl solution initially.
  
• To find the volume of the diluted solution (V2), you can use the dilution equation M1V1 = M2V2, where M1 and V1 are the molarity and volume of the concentrated solution and M2 and V2 are the molarity and volume of the diluted solution respectively.
  
• Plugging in the known values, we have (9.0 M)(450 mL) = (0.075 M)(V2).
  
• Solving for V2, we find that V2 = (9.0 M)(450 mL) / 0.075 M.
  
• After performing the calculation, we find that V2 = 54,000 mL or 54 L.

So, part (a) - the volume of the 0.075 M diluted solution that can be made is 54 liters.

To answer part (b) of the student's question:

• The molarity of the dilute solution, as asked by the student, remains constant in this process as per the design of the question. It is given as 0.075 M.