Final answer:
The velocities of sound waves in air, helium, and carbon dioxide are 340 m/s, 970 m/s, and 258 m/s respectively. Helium has the fastest sound wave due to its lower density and higher compressibility. Sound waves travel at different speeds in each gas because of the differences in density and compressibility.
Step-by-step explanation:
The velocities of sound waves in air, helium, and carbon dioxide are as follows:
- Speed of sound in air (at room temperature): 340 m/s
- Speed of sound in helium (at room temperature): 970 m/s
- Speed of sound in carbon dioxide (at room temperature): 258 m/s
The fastest sound wave is in helium with a speed of 970 m/s.
Sound waves travel at different speeds in each gas due to the differences in density and compressibility of the gases. Helium, being a lighter gas with lower density and higher compressibility, allows sound waves to propagate faster compared to air or carbon dioxide.