Consider the system with $3$ plates A$,$ B and C represented in the figure. Plate B represents a nuclear fuel element. The rate of heat generation in nuclear fuel is $4$ MW$/$m$^2.$ Heat is removed from the system on both outer surfaces, one on plate A and the other on plate C$,$ by a flow of water at a temperature of $25\backslash$deg C$,$ with a convective heat transfer coefficient of $1000$ W$(($m$^2\backslash$deg C$).$ The thermal conductivity of the material of the two plates is $50$ W$/$m$\backslash$deg C$.$ The heat transmission area on each plate is $10$ m$^2.$ Determine: a$)$ the heat transfer rate passing through plate A b$)$ the thermal resistance of the wall C$.$ c$)$ the temperature of the internal face of the wall C d$)$ the temperature of the external face of wall A$.$P