Table of contents

1. Matter and Measurements4h 31m
2. Atoms and the Periodic Table5h 23m
3. Ionic Compounds2h 18m
4. Molecular Compounds2h 18m
5. Classification & Balancing of Chemical Reactions3h 17m
6. Chemical Reactions & Quantities2h 27m
7. Energy, Rate and Equilibrium3h 46m
8. Gases, Liquids and Solids3h 25m
9. Solutions4h 10m
10. Acids and Bases3h 29m
11. Nuclear Chemistry56m
BONUS: Lab Techniques and Procedures1h 38m
BONUS: Mathematical Operations and Functions47m
12. Introduction to Organic Chemistry1h 34m
13. Alkenes, Alkynes, and Aromatic Compounds2h 12m
14. Compounds with Oxygen or Sulfur1h 6m
15. Aldehydes and Ketones1h 1m
16. Carboxylic Acids and Their Derivatives1h 11m
17. Amines39m
18. Amino Acids and Proteins1h 51m
19. Enzymes1h 37m
20. Carbohydrates1h 41m
21. The Generation of Biochemical Energy2h 8m
22. Carbohydrate Metabolism2h 22m
23. Lipids2h 26m
24. Lipid Metabolism1h 45m
25. Protein and Amino Acid Metabolism1h 37m
26. Nucleic Acids and Protein Synthesis2h 54m

9. Solutions

Percent Concentrations

GOB Chemistry

9. Solutions

Percent Concentrations

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4:43 minutes

Problem 58

Textbook Question

Nalorphine, a relative of morphine, is used to combat withdrawal symptoms in heroin users. How many milliliters of a 0.40% (m/v) solution of nalorphine must be injected to obtain a dose of 1.5 mg?

Verified step by step guidance

Step 1: Understand the problem. You are tasked with determining the volume (in milliliters) of a nalorphine solution with a concentration of 0.40% (m/v) that contains a dose of 1.5 mg of nalorphine. Recall that % (m/v) means grams of solute per 100 mL of solution.

Step 2: Convert the dose of nalorphine from milligrams to grams. Use the conversion factor: 1 mg = 0.001 g. This is necessary because the concentration is given in terms of grams.

Step 3: Write the relationship for the concentration of the solution: \( \text{Concentration} = \frac{\text{Mass of solute (g)}}{\text{Volume of solution (mL)}} \times 100 \). Rearrange this equation to solve for the volume of solution: \( \text{Volume of solution (mL)} = \frac{\text{Mass of solute (g)} \times 100}{\text{Concentration (% m/v)}} \).

Step 4: Substitute the known values into the rearranged equation. Use the mass of nalorphine in grams (from Step 2) and the concentration of the solution (0.40% m/v).

Step 5: Perform the calculation to determine the volume of solution in milliliters. Ensure that your units are consistent throughout the calculation.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Concentration (m/v) Solutions

The concentration of a solution can be expressed in mass/volume (m/v) percentage, which indicates the mass of solute per 100 mL of solution. In this case, a 0.40% (m/v) solution means there are 0.40 grams of nalorphine in 100 mL of the solution. Understanding this concept is crucial for calculating the volume needed to achieve a specific dose.

Dosage Calculation

Dosage calculation involves determining the appropriate amount of a drug to administer based on the desired therapeutic effect. In this scenario, the goal is to find out how many milliliters of nalorphine are required to deliver a dose of 1.5 mg. This requires converting the desired dose into a compatible unit with the concentration of the solution.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it is necessary to convert milligrams (mg) to grams (g) since the concentration is given in grams per 100 mL. This step is essential for ensuring that the calculations align with the units used in the concentration of the nalorphine solution.

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