Question

Question 5
1 pts
Use the table to calculate the average speed of sound in a gas, a liquid, and a solid, to the nearest m/s. Which of the following statements are true? Select all that apply.
• The average speed of sound in a solid is about 0.07 times the average speed of sound in a gas.
• The average speed of sound in a solid is about 3.7 times the average speed of sound in a liquid.
• he average speed of sound in a liquid is about 3.7 times the average speed of sound in a gas.
• The average speed of sound in a solid is about 13.9 times the average speed of sound in a gas.

Answer 1

To answer your question, we first need the average speeds of sound in gases, liquids, and solids. Typical approximate values are:

- Average speed of sound in air (a gas): ~343 m/s
- Average speed of sound in water (a liquid): ~1482 m/s
- Average speed of sound in steel (a solid): ~5960 m/s

Let's calculate the ratios for each of the statements:

1. **The average speed of sound in a solid is about 0.07 times the average speed of sound in a gas.**
\[
\frac{5960 \text{ m/s} (solid)}{343 \text{ m/s} (gas)} \approx 17.4 \quad \text{(False)}
\]

2. **The average speed of sound in a solid is about 3.7 times the average speed of sound in a liquid.**
\[
\frac{5960 \text{ m/s} (solid)}{1482 \text{ m/s} (liquid)} \approx 4.02 \quad \text{(False)}
\]

3. **The average speed of sound in a liquid is about 3.7 times the average speed of sound in a gas.**
\[
\frac{1482 \text{ m/s} (liquid)}{343 \text{ m/s} (gas)} \approx 4.32 \quad \text{(False)}
\]

4. **The average speed of sound in a solid is about 13.9 times the average speed of sound in a gas.**
\[
\frac{5960 \text{ m/s} (solid)}{343 \text{ m/s} (gas)} \approx 17.4 \quad \text{(False)}
\]

Based on these calculations, **none** of the statements are true.