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

8. Gases, Liquids and Solids

Chemistry Gas Laws: Combined Gas Law

GOB Chemistry

8. Gases, Liquids and Solids

Chemistry Gas Laws: Combined Gas Law

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1:38 minutes

Problem 42

Textbook Question

Rearrange the variables in the combined gas law to solve for P₂.

Verified step by step guidance

Start with the combined gas law formula:

PV/T = constant

. For two states, the formula becomes:

P₁V₁/T₁ = P₂V₂/T₂

Identify the variable you need to solve for, which is

P₂

. Rearrange the equation to isolate

P₂

Multiply both sides of the equation by

T₂

to eliminate the denominator on the right-hand side:

P₁V₁T₂/T₁ = P₂V₂

Divide both sides of the equation by

V₂

to isolate

P₂

P₂ = (P₁V₁T₂)/(T₁V₂)

Verify that the rearranged formula makes sense by checking the units of each variable (pressure, volume, and temperature) to ensure dimensional consistency.

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Key Concepts

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

Combined Gas Law

The Combined Gas Law is an equation that relates the pressure, volume, and temperature of a gas. It combines Boyle's Law, Charles's Law, and Gay-Lussac's Law into a single formula: (P₁V₁)/T₁ = (P₂V₂)/T₂. This law is essential for understanding how changes in one variable affect the others in a closed system.

Rearranging Equations

Rearranging equations involves manipulating an equation to isolate a specific variable. This process often requires using algebraic techniques such as addition, subtraction, multiplication, and division. In the context of the Combined Gas Law, rearranging allows us to solve for P₂ by expressing it in terms of the other variables.

Variables in Gas Laws

In the context of gas laws, the key variables are pressure (P), volume (V), and temperature (T). Each variable plays a crucial role in determining the state of a gas. Understanding how these variables interact and affect each other is vital for solving problems related to gas behavior, such as finding P₂ in the Combined Gas Law.

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Related Practice

Textbook Question

A sample of argon gas has a volume of 735 mL at a pressure of 1.20 atm and a temperature of 112 °C. What is the final volume of the gas, in milliliters, when the pressure and temperature of the gas sample are changed to the following, if the amount of gas does not change?

a. 658 mmHg and 281 K

Multiple Choice

A 4.30 L gas has a pressure of 7.0 atm when the temperature is 60.0 ºC. What will be the temperature of the gas mixture if the volume and pressure are decreased to 2.45 L and 403.0 kPa respectively?

A sealed container with a movable piston contains a gas with a pressure of 1380 torr, a volume of 820 mL and a temperature of 31°C. What would the volume be if the new pressure is now 2.83 atm, while the temperature decreased to 25°C?

a. 658 mmHg and 281 K

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