Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 38m
5. BONUS: Mathematical Operations and Functions48m
6. Chemical Quantities & Aqueous Reactions3h 53m
7. Gases3h 49m
8. Thermochemistry2h 37m
9. Quantum Mechanics2h 58m
10. Periodic Properties of the Elements3h 9m
11. Bonding & Molecular Structure3h 29m
12. Molecular Shapes & Valence Bond Theory1h 57m
13. Liquids, Solids & Intermolecular Forces2h 23m
14. Solutions3h 1m
15. Chemical Kinetics2h 53m
16. Chemical Equilibrium2h 29m
17. Acid and Base Equilibrium5h 1m
18. Aqueous Equilibrium4h 47m
19. Chemical Thermodynamics1h 50m
20. Electrochemistry2h 42m
21. Nuclear Chemistry2h 36m
22. Organic Chemistry5h 7m
23. Chemistry of the Nonmetals2h 39m
24. Transition Metals and Coordination Compounds3h 16m

7. Gases

Root Mean Square Speed

General Chemistry

7. Gases

Root Mean Square Speed

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Multiple Choice

What is the root-mean-square speed of a carbon monoxide molecule at 27°C?

700 m/s

400 m/s

515 m/s

600 m/s

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Verified step by step guidance

First, understand the concept of root-mean-square speed (v_rms), which is a measure of the average speed of particles in a gas. It is derived from the kinetic theory of gases.

The formula for calculating the root-mean-square speed is:

\sqrt{\frac{3 R T}{M}}

, where R is the universal gas constant (8.314 J/mol·K), T is the temperature in Kelvin, and M is the molar mass of the gas in kg/mol.

Convert the given temperature from Celsius to Kelvin by adding 273.15 to the Celsius temperature:

27 + 273.15

Determine the molar mass of carbon monoxide (CO). Carbon has a molar mass of approximately 12.01 g/mol and oxygen has a molar mass of approximately 16.00 g/mol. Add these values to find the molar mass of CO:

12.01 + 16.00

g/mol, then convert to kg/mol by dividing by 1000.

Substitute the values for R, T, and M into the root-mean-square speed formula and solve for v_rms. Ensure all units are consistent, particularly converting the molar mass to kg/mol.