Calculate the Laplace pressure, in units of bar, for a spherical copper nanoparticle, where the

interfacial free energy is $0\mathrm{.}5$ J$/$m$2$

$.$ Do this for radii of $1\mathrm{.}0$ nm$,10\mathrm{.}0$ nm$,$ and $100$ nm$.$

Copper has a bulk modulus of $123$ GPa. The equation for isotropic compression is

P $=$E$$V$/$V$.$ For the $1$ nm radius particle, calculate the strain due to the Laplace pressure

$($that is$,$ the fractional change in unit cell parameter