The following equation is used to calculate the heat transfer Q in a boiler given the surface area A, the overall heat transfer coefficient U, the heating fluid inlet temperature T1, the heating fluid exit temperature T2, and the temperature of the boiling fluid Ts. Let T1 = 600 o F, Ts = 535 o F, and Q/(UA) = 34.1 o F. a. Show that a root exists between T2 = 536 o F and T2 = 580 o F. (Do not find the actual root yet.) b. Write a MATLAB program

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj