Homework Statement
An error matrix is in the form, has a characteristic equation:
## CE: s^2 + 120s + 7200 = 0 ##
A state variable feedback system is described by:
## A_F = \begin{bmatrix}0 & 1 \\-616.8 & -40 \end{bmatrix} ##
## B = \begin{bmatrix}0 \\ 1 \end{bmatrix} ##
## C =...
Hi Ray, thanks for the response.
I understand I can get equation 2 in terms of ##x_0 , x_1##, however my ultimate goal is to get ##F## in terms of ##x_0, x_1## . I'm worried that using the same equation twice will create redundancy. Would I be able to use the resulting ##y_0## and ##y_1## in...
Homework Statement
I have three equations:
## F = ρw(x_0 y^2_0 - x_1 y^2_1) + \frac{1}{2} γ w (x^2_0 - x^2_1)## ----- 1
##y_0 = y_1 \frac{x_1}{x_0}## ----- 2
##\frac{y^2_0}{2} + gx_0 = \frac{y^2_1}{2} + gx_1## ------ 3
Homework Equations
N/A
The Attempt at a Solution
My goal is to have...
I see, I always assumed it to be dimensionless (as a ratio of concentration), since it's analogous to equilibrium constant.
I'm still not sure exactly sure how to calculate ##Q##
Righto, I converted it to a Kpa, I just has a feeling that Bar is not a the correct unit of measurement.
## Q = \frac{1}{(51)^4(0.027)} ##
## ln|Q| = -11.9 ##
## E = 1.23 - \frac{(8.314)(298)}{(4)(96485)}(-11.9) ##
## E = 1.306V ##
Quick question, why do I use the partial pressure of...
Ok...
## E = E^o - \frac{RT}{nF} ln| Q | ##
## Q = \frac{[H_2O]}{[O_2][H^+]^4} ##
## Q = \frac{1^2}{(0.00032)^4(0.027)} ##
## ln|Q| = 35.8 ##
so:
## E = (1.23) - \frac{(8.314)(298)}{(4)(96485)} (35.8) ##
## E = (1.23) - 0.230 = 1 ##
Hmm, and If I did the same with the other half cell?
I...
Homework Statement
A voltaic cell utilises the following reaction:
4 Fe2+(aq) + O2(g) + 4 H+(aq) ---> 4 Fe3+(aq) + 2 H2O(l)
What is the emf of this cell when [Fe2+] = 1.3 M, [Fe3+] = 0.010 M, PO2 = 0.51 bar and the pH of the solution in the cathode is 3.5.
The standard reduction potentials...
Homework Statement
A gaseous hydrocarbon X had an approximate molecular weight of 57. It reacted with both bromine and dilute permanganate solutions. Give the structural formula of the only 3 compounds consistent with this information.
X was treated with hydrogen bromide, and the resulting...
I seem to be error prone with my manual calculations, also, I needed to calculate the thermal conductivities of two other metals, at different temperatures. Which is why I wrote the program as well.
I know that is wrong because it seems like I'm a whole order of magnitude from a literature...
Hello, maadj
Thanks for the response.
I used an approximation method to obtain the values for Thot and Tcold. Where T2 and T3 and are temperatures close to the position of Thot and T6 and T7 are temperatures close to Tcold. I worked them out prior to using the equation I have given (did do a...
Homework Statement
Determine the thermal conductivity of a metal (assume linear heat distribution at steady-state, and well insulated), given,
Thot = 96.8
Tcold = 29.5
There is also:
13.7 W being pumped in at one end.
Water convecting heat away on the other end.
Homework Equations...
Sorry I made a mistake with that, I was meant to say that the system reaches steady state at approximately t = 17.
We haven't yet covered the Crank-Nicholson method, so I have a feeling we may have to stick with the explicit method.
Homework Statement
Plot the transient conduction of a material with k = 210 w/m K, Cp = 350 J/kg K, ρ = 6530 kg/m3
Where the material is a cylinder, with constant cross sectional area and is well insulated. The boundary conditions for the cylinder:
T(0,t) = 330K
T(l,t) = 299K...
Well since oxygen has a higher atomic number than carbon, I assume the carboxyl group has more priority.
However, intuitively, if I were to have another single aromatic ring in place of the carboxyl group, how would I go about going down the branches? Which would then be of highest priority...