Table of contents

1. The Chemical World9m
- The Scientific Method
  9m
2. Measurement and Problem Solving2h 19m
3. Matter and Energy2h 15m
4. Atoms and Elements2h 33m
5. Molecules and Compounds1h 50m
6. Chemical Composition1h 23m
7. Chemical Reactions1h 43m
8. Quantities in Chemical Reactions1h 8m
9. Electrons in Atoms and the Periodic Table2h 32m
10. Chemical Bonding2h 10m
11 Gases2h 7m
12. Liquids, Solids, and Intermolecular Forces1h 11m
13. Solutions3h 1m
14. Acids and Bases2h 14m
15. Chemical Equilibrium1h 27m
16. Oxidation and Reduction1h 33m
17. Radioactivity and Nuclear Chemistry53m

13. Solutions

Dilutions

Introduction to Chemistry

13. Solutions

Dilutions

Previous problemNext problem

Struggling with Introduction to Chemistry?

Join thousands of students who trust us to help them ace their exams!Watch the first video

Multiple Choice

A student prepared a stock solution by dissolving 25.00 g of NaOH in enough water to make 150.0 mL solution. The student took 20.0 mL of the stock solution and diluted it with enough water to make 250.0 mL solution. Finally taking 75.0 mL of that solution and dissolving it in water to make 500 mL solution. What is the concentration of NaOH for this final solution? (MW of NaOH:40.00 g/mol).

0.0500 M

0.025 M

0.005 M

0.500 M

0.0100 M

Previous problemNext problem

Verified step by step guidance

Calculate the molarity of the stock solution. First, determine the number of moles of NaOH using the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \). Here, the mass is 25.00 g and the molar mass of NaOH is 40.00 g/mol.

Once you have the moles of NaOH, calculate the molarity of the stock solution using the formula: \( \text{Molarity} = \frac{\text{moles}}{\text{volume in liters}} \). Convert the volume from mL to L by dividing by 1000.

Determine the molarity of the first diluted solution. Use the dilution formula: \( M_1V_1 = M_2V_2 \), where \( M_1 \) and \( V_1 \) are the molarity and volume of the stock solution, and \( M_2 \) and \( V_2 \) are the molarity and volume of the diluted solution. Solve for \( M_2 \).

Calculate the molarity of the second diluted solution using the same dilution formula: \( M_1V_1 = M_2V_2 \). Here, \( M_1 \) and \( V_1 \) are the molarity and volume of the first diluted solution, and \( M_2 \) and \( V_2 \) are the molarity and volume of the second diluted solution. Solve for \( M_2 \).

The molarity obtained from the last step is the concentration of NaOH in the final solution. Compare this value with the given options to identify the correct answer.