Use the relations for the speed of sound, $c_s,$ and the bulk modulus, $B,$ below to show that

$c_s=v_{rms}\sqrt[\phantom{2}]{\frac{}{3}}.$ What assumptions should be made concerning the compressions$/$expansions

that comprise the sound wave?

$c_s=\sqrt[\phantom{2}]{\frac{B}{}},B-=-V\frac{dP}{dV}$