Junction 1-14 is at function of t: when one a celsius temperature t, the emf of a thermocouple is kept at the ice point, and the other junction of the thermocouple is given by a quadratic if δ is in millivolts, the numerical values of α and β for a certain thermocouple are found to be α= .50, β=-1×10-3. (a) compute the emf when t =-100°c, 200°c,400°c, and 500°c, and sketch a graph of δ versus t. (b) suppose the emf is taken as a thermometric property and that a tem- perature scale t* is defined by the linear equation t* = a8 + b. let t*-0 at the ice point, and t* 100 at the steam point. find the numerical values of a and b and sketch a graph of δ versus t *. (c) find the values of t* when t =-100°c, 200°c, 400°c, and 500°c, and sketch a graph of t* versus t over this range. (d) is the t* scale a celsius scale? does it have any advantage or disadvantages compared with the ipts scale?

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

The particle in a two-dimensional well is a useful model for the motion of electrons around the indole ring (3), the conjugated cycle found in the side chain of tryptophan. we may regard indole as a rectangle with sides of length 280 pm and 450 pm, with 10 electrons in the conjugated p system. as in case study 9.1, we assume that in the ground state of the molecule each quantized level is occupied by two electrons. (a) calculate the energy of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels. 9.27 electrons around the porphine ring (4), the conjugated macrocycle that forms the structural basis of the heme group and the chlorophylls. we may treat the group as a circular ring of radius 440 pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. as in exercise 9.26, assume that in the ground state of the molecule quantized each level is occupied by two electrons. (a) calculate the energy and angular momentum of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

What are two different ways you could find the value of a? explain these methods.