Question

What is the velocity of sound in air at $61{}^{\circ }\text{C}$? (the velocity of sound in air at $0{}^{\circ }\text{C}=330{\text{m s}}^{-1}$)

• A. $292.79{\text{m s}}^{-1}$
• B. $367.21{\text{m s}}^{-1}$
• C. $405.28{\text{m s}}^{-1}$
• D. $663.40{\text{m s}}^{-1}$

Answer 1

The correct option is B $367.21{\text{m s}}^{-1}$

Velocity of sound in air is related to temperature as:
$\text{v}={\text{v}}_0+(0.61\times \text{t}{}^{\circ }\text{C})$
where ${\text{v}}_0$ is the velocity of sound in air at $0{}^{\circ }\text{C}=330{\text{m s}}^{-1}$ (given)
Given:
$\text{t}=61{}^{\circ }\text{C}$
$⟹\text{v}=330+(0.61\times 61)$
$⟹\text{v}=330+37.21$
$⟹\text{v}=367.21{\text{m s}}^{-1}$