$(25\%)$ A $0\mathrm{.}25m^3$ volume tank containing R$134$a is lowered into a hot geothermal pool northern California near the Geysers geothermal power plant. Initially the tank contains $92\%$ vapor by volume of the R $134$ a at a temperature of $20C.$ The $90C$ water heats the exit of the tank is a relief$-$valve that will allow R$134$a to exit the tank when the tank pre bar such that the tank pressure is constant at $10$ bar while mass is leaving the tank. The $($State $2)$ when the last bit of liquid in the tank has evaporated. The water of the geothe maintains a temperature of $90C$ and can be considered equivalent to a reversible heat

a$)(2\%)$ What is the initial pressure of the tank $($ kPa