Answer:
The temperature of the gas is approximately 349.76980 K
Explanation:
The given parameter for the speed of the sound wave, v is v = 375 m/s
The formula for the speed of sound in a gas given the temperature of the gas, is given as follows;
[tex]v = 331.3 \times \sqrt{ \dfrac{T_K}{273 \ K } }[/tex]
Where;
[tex]T_K[/tex] = The temperature of the gas through which the sound travels
Therefore, for a speed of sound of 375 m/s, we have;
[tex]375 = 331.3 \times \sqrt{ \dfrac{T_K}{273 \ K } }[/tex]
[tex]T_K = 273 \ K \times \left (\dfrac{375}{331.3} \right )^2 \approx 349.76980 \ K[/tex]
[tex]T_K[/tex] ≈ 349.76980 K
The temperature of the gas, [tex]T_K[/tex] ≈ 349.76980 K.
