An insulated piston$-$cylinder device initially contains $0\mathrm{.}04$m$30\mathrm{.}04$m$3$ of saturated liquid$-$vapor mixture of water with a quality of $0\mathrm{.}1$ at $100$C$.$ Now some ice at $18$C is dropped into the cylinder. If the cylinder contains saturated liquid at $100$C when thermal equilibrium is established, the specific heat of ice at about $0$C is c $=2\mathrm{.}11$ kJ$/$kg$$C$.$The melting temperature and the heat of fusion of ice at $1$ atm are $0$Cand $333\mathrm{.}7$ kJ$/$kg$.$ Use data from tables. Determine the entropy generated during this process.