Consider the slab above with uniform heat generation. Thermal conductivity of slab is k. a) For the first part, assuming that h1= h2=h and T1= T2= T, derive the expression for temperature at an arbitrary location x, using the simpler energy balance approach introduced in the class. Do not use the second order differential equation for this part. b) Now assume the heat transfer coefficients and ambient temperatures on two sides to be different as shown in the Figure above. Obtain the temperature profile in the slab. Can you still use the energy balance approach ? If T1 T2, where is maximum temperature in the slab located (left half or right half) ?

h1,T1