Chapter SH, Problem 10.5APP

To determine

To calculate: Percent change in the speed of sound at $20°\text{C}$ compared to $0°\text{C}$ .

Answer to Problem 10.5APP

Percent change in the speed of sound at $20°\text{C}$ compared to $0°\text{C}$ is approximately $\underset{\_}{4\%}$ .

Explanation of Solution

Given:

Speed of sound wave in air at $0°\text{C}$ = $331\text{ m/s}$

Speed of sound wave in air at $20°\text{C}$ = $\text{344 m/s}$

Formula used:

Percent change is given by,

  $\text{Percent change = }\frac{\text{New value}-\text{old value}}{\text{Old value}}\times 100$

Calculation:

Percent change in the speed of sound at $20°\text{C}$ compared to $0°\text{C}$ is calculated as:

  $\begin{array}{l}\text{Percent change = }\frac{\text{New value}-\text{old value}}{\text{Old value}}\times 100\\ =\frac{344\text{ m/s}-331\text{ m/s}}{331\text{ m/s}}\times 100\\ =\frac{13\text{ m/s}}{331\text{ m/s}}\times 100\\ \approx 4\%\end{array}$

Conclusion:

Percent change in the speed of sound at $20°\text{C}$ compared to $0°\text{C}$ is approximately $\underset{\_}{4\%}$ .