$4\mathrm{.}84$ A two$-$phase liquid$-$vapor mixture of Refrigerant $134$a is contained in a $\backslash (0\mathrm{.}06\backslash$mathrm$\{$~m$\}^\{3\}\backslash ),$ cylindrical storage tank at $670$ kPa $.$ Initially, saturated liquid occupies $\backslash (0\mathrm{.}04\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$ The valve at the top of the tank develops a leak, allowing saturated vapor to escape slowly. Eventually, the volume of the liquid drops to

$\backslash (0\mathrm{.}02\backslash$mathrm$\{$~m$\}^\{3\}\backslash ).$ If the pressure in the tank remains constant, determine the mass of refrigerant that has escaped, in kg $,$ and the heat transfer, in kJ$.$