(A) Derive Bernoulli's Equation from Pressure, Kinetic Energy and Potential Energy
(B) Express Bernoulli's equation:
- Per unit mass
-Per unit volume
- In terms of heads
Use the general integral balance equation to derive an
integral balance equation for the concentration, c, of some
substance that diffuses through boundaries of the control volume.
The substance may also be produced or consumed within the control
volume by chemical reactions
(a)Define the surface fluxes and volumetric
source/sink and explain your choice
(b)Write out the final form of the integral
balance
(c)Explain what additional information or models would
be required in order to solve this equation for the volume-averaged...
a) DERIVE the equation for the change in the free energy of a
CYLINDRICAL nucleus heterogeneously forming from an existing phase.
The nucleus grows with its circular base on
the mold wall and the axis of the cylinder normal to the wall.
ASSUME that the height of the cylinder can be written as h = a * r,
where a is a constant, and r is the cylinder radius.
b) Find the critical radius and the energy barrier to nucleation...
Derive the continuity equation and the torque balance equation
for the water wheel. Show that the Lorenz system does not have any
quasi periodic solutions.
Beginning with the basic balance equation, develop the open
system at steady state energy balance equation that is used for a
system with multiple inlet and outlet streams. Make sure to show
all steps and to define terms in words or by equations.
a. Pentane (200 g) is combusted to produce CO2. Derive and
balance the chemical equation for this reaction. List the oxidation
state of all species. (3 points)
b. All of the CO2 produced in the combustion is taken up by
plants during photosynthesis to produce glucose and oxygen. Derive
the balanced equation. (3 points)
c. How many grams of glucose are produced from the 200 g of
pentane combusted? (3 points)