Chapter 17, Problem 28QAP

Radioactive waste is stored in the spherical stainless-steel container as shown schematically in the figure below. Heat generated within the waste material must be dissipated by conduction through the steel shell and then by convection to the cooling water. Pertinent dimensions and system operating variables are Inside radius of steel shell, ri = 0.4 m; Outside radius of steel shell, ro = 0.5 m Volumetric rate of heat generated within waste material, q˙= 105 W/m3, Thermal conductivity of steel = 15 W/m·K; Thermal conductivity of waste = 20 W/m·K, Convective heat-transfer coefficient between steel shell and water, h = 800 W/m2·K, Water temperature, T∞ = 25 oC. In the stainless-steel shell, the temperature profile as a function of radius, r can be expressed as follows:Can you: At steady state, calculate the temperature at the outside steel surface (r = ro). And Calculate the temperature at the inside steel surface (r = ri).

Consider, M people (aka pax) who want to travel by car from O to D. They all start working at D at Q (e.g., Q=8am). If a person departs at time t, assume the time needed to go from O to D is given by c(t)=A+Bx(t), where x(t) is the flow of people departing at time t [car/unit of time]. In addition, a is the penalty for being early at work (E(t) is how early the person arrived when departing at time t), and ẞ is the penalty for being late at work (L(t) is how late the person arrived when departing at time t). Assume 0 < a < 1 < ß. Further assume the departure time choice problem under the equilibrium conditions. Prove that the arrival time of people who depart when most of the M people start their trips is equal to Q.

state is Derive an expression for the volume expansivity of a substance whose equation of RT P = v-b a v(v + b)TZ where a and b are empirical constants.