Using approximations, show that the sound velocity is approximately 1150 m/s. The sound velocity is given by the square root of the bulk modulus divided by the mass density. Argon is bonded together through van der Waals interaction and takes an fcc structure with nearest neighbor distance 3.76 Å. Assume for argon that the bulk modulus = (75 * epsilon) / ∛3 where epsilon = 10 meV and σ = 4/1.09 Å are the parameters of the Lennard-Jones potential.
Also, evaluate the Debye temperature for this material with this sound velocity.