Seawater has a bulk modulus of 2.34×109 N/m2. Its density at 5°C is 1030 kg/m3. What is the speed of sound through seawater at this temperature?
Speed of sound ='sqrt(E/rho)
E is the bulk modulus
Rho is the density
To find the speed of sound through seawater, we can use the formula:
Speed of sound = √(Bulk modulus / Density)
Given:
Bulk modulus of seawater (B) = 2.34×10^9 N/m^2
Density of seawater (ρ) = 1030 kg/m^3
Now, let's plug in the values into the formula:
Speed of sound = √(2.34×10^9 / 1030)
To calculate this, we need to divide the bulk modulus by the density, and then take the square root of the result:
Speed of sound = √(2.34×10^9 / 1030) ≈ √(2.2718×10^6) ≈ 1506.9 m/s
Therefore, the speed of sound through seawater at a temperature of 5°C is approximately 1506.9 m/s.