Answer :
Answer: The speed of sound in mercury is 5167.08 km/hr
Explanation:
To calculate the speed of sound in any liquid, we use the equation:
[tex]v=\sqrt{\frac{\text{Bulk modulus}}{\text{Density}}}[/tex]
We are given:
Bulk modulus = [tex]2.80\times 10^{10}N/m^2[/tex]
Density of liquid = [tex]13600kg/m^3[/tex]
Putting values in above equation, we get:
[tex]v=\sqrt{\frac{2.80\times 10^{10}N/m^2}{13600kg/m^3}}\\\\v=1435.5m/s[/tex]
Converting the given quantity into km/hr, we use the conversion factors:
1 km = 1000 m
1 hr = 3600 s
So, [tex]\Rightarrow 1435.3m/s\times (\frac{1km}{1000m})\times (\frac{3600s}{1hr})=5167.08km/hr[/tex]
Hence, the speed of sound in mercury is 5167.08 km/hr