Question

Find the speed of sound in mercury, which has a bulk modulus of approximately 2.80 x 1010 N/m2 and a density of 13600 kg/m3. km/s

Answer 1

Answer: The speed of sound in mercury is 5167.08 km/hr

Step-by-step explanation:

To calculate the speed of sound in any liquid, we use the equation:

`v=\sqrt{\frac{\text{Bulk modulus}}{\text{Density}}}`

We are given:

Bulk modulus =
`2.80* 10^(10)N/m^2`

Density of liquid =
`13600kg/m^3`

Putting values in above equation, we get:

`v=\sqrt{(2.80* 10^(10)N/m^2)/(13600kg/m^3)}\\\\v=1435.5m/s`

Converting the given quantity into km/hr, we use the conversion factors:

1 km = 1000 m

1 hr = 3600 s

So,
`\Rightarrow 1435.3m/s* ((1km)/(1000m))* ((3600s)/(1hr))=5167.08km/hr`

Hence, the speed of sound in mercury is 5167.08 km/hr