A catalytic zero-order reaction is conducted using a catalyst with a flat-plate geometry. a. Write the governing material balance equations to describe the processes occurring within the pellet. b. What is the maximum value of Thiele modulus ( max, =1) for the internal effectiveness factor to be 1? Obtain the concentration profile of the reactant as a function of position for  <  max, =1.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?

Acircular aluminum shaft mounted in a journal is shown. the symmetric clearance gap between the shaft and journal is filled with sae 10w-30 oil at t 30°c. the shaft is caused to turn by the attached mass and cord. develop and solve a differential equation for the angular speed of the shaft as a function of time.