Artificial diamonds can be made using high$-$pressure, high$-$temperature presses. Suppose an artificial diamond of volume $1\mathrm{.}14{10}^{-6}{m}^3$ is formed under a pressure of $5\mathrm{.}50$ GPa $.$ Find the change in its volume $($in $m^3)$ when it is released from the press and brought to atmospheric pressure. Take the diamond's bulk modulus to be $B=194$GPa. $($Assume the system is at sea level.$)$

Apply the stress$-$strain relation for volume elasticity.

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