Two regions of an ideal dilute solution have a difference

in concentration of potassium ions $(K^{+}).$ At $293K,$ what

is the difference in chemical potential between region

$1,$ with a concentration of $0\mathrm{.}5M{K}^{+},$ and region $2,$ which has a concentration of $2$mM$?$ Please make sure that you explain every step of the calculation and justify any assumptions you make. please write clearly.