Best Practices: When working with a system in which phase change is possible, always draw either T$-$v or P$-$v diagram. Write down what is given and what needs to be found. Always start with full Energy Balance equation and simplify it for the system and the situation under consideration.

As shown in figure below, a closed, rigid tank is filled with Refrigerant $22,$ initially at $-10C,$ a quality of $75\%,$ and a volume of $0\mathrm{.}03m^3.$ Since the quality of initial mixture is $75\%,$ there is $25\%$ liquid in the tank. You are asked to convert all liquid into vapor using a $12-$volt battery and fine$-$wire electric resistor. You deicide to pass $6-$amp of current to the resistor for $15$ minutes. After $15$ minutes you measure the temperature of the final vapor to be $40C.$ Show all work

a$.$ determine the amount of electric work used in this process, in kJ$.$

b$.$ assume that tank was not insulated from surroundings. How much energy was wasted to surroundings in the form of heat transfer, in kJ

c$.$ find efficiency of your heating process, where efficiency is defined as the ratio of internal energy change of R$22$ divided by electric work.

d$.$ sketch the process on T$-$v diagram