Two identical rooms are designed, as sketched in Figure 5.23, with the six identical external walls. A cooling system operates in only one of the rooms. Consider it is summertime and heat flow...

Two identical rooms are designed, as sketched in Figure 5.23, with the six identical external walls. A cooling system operates in only one of the rooms. Consider it is summertime and heat flow infiltrates from the outside. Heat also flows through the wall separating the two rooms. Knowing the following amounts, heat flow absorbed by the cooler qi, the outside temperature io as well as the walls thermal resistances and the two rooms thermal capacitances, find the mathematical model of this thermal system that expresses the two indoor temperatures i1 and i2.