A $1\mathrm{.}840-$m$31\mathrm{.}840-$m$3$ rigid tank contains steam at $220$C$.$ One$-$third of the volume is in the liquid phase and the rest is in the vapor form.$$The properties of steam at $220$C are given as follows:$$ vf$=0\mathrm{.}001190$m$3/$kg$$and$$vg$=0\mathrm{.}08609$m$3/$kgvf$=0\mathrm{.}001190$m$3/$kg$$and$$vg$=0\mathrm{.}08609$m$3/$kg $.$ Determine$$the quality of the saturated mixture.$($Round the final answer to four$$decimal places.$)$