In normal operation, Valve 1 is closed (R1 → [infinity]) and q1 = 0. What is the transfer function relating changes in q0 to changes in outflow rate q2 for these conditions? (b) Someone inadvertently leaves Valve 1 partially open (0 < R1 < [infinity]). What is the differential equation model for this system? (c) What do you know about the form of the transfer function Q′ 2(s)∕Q′ 0(s) for Valve 1 partially open? Discuss but do not derive.

1in2 processor chip can be modelled as an isothermal plane wall of silicon, isothermal on both sides. the power input to the bottom of the plane wall, or the processing power of the chip, often called the thermal design power (tdp), is 100w. assume the periphery is adiabatic. the silicon is 400 microns thick. the temperature at the junction, or in this case on the bottom of the isothermal plane wall, is 85°c. what is the top surface temperature, assuming that the only mode of heat transfer is conduction