Homework Statement
What is the probability, P, of locating a particle between x = 0 (the left-hand end of
a box) and x = 0.2 nm in its lowest energy state in a box of length 1.0 nm?
Homework Equations
Probability = ∫ψ2dx
ψ = (2/L)1/2sin(n∏x)
The Attempt at a Solution
ψ2 =...
Homework Statement
Write down the v=1 eigenfunction for the harmonic oscillator. Substitute this eigenfunction into the Schrodinger equation and show that the eigenvalue is (3/2)hν.
Homework Equations
The Attempt at a Solution
I'm not really sure on how to to this, but heres...
Homework Statement
Consider ψ (x) for a particle in a box:
ψn(x) = (2/L)1/2sin(n∏x/L)
Calculate the probability of finding the particle in the middle half of the box (i.e., L/4 ≤ x ≤ 3L/4). Also, using this solution show that as ''n'' goes to infinity you get the classical solution of...
Not sure if correct but heres what I did to find the concentration.
5.49 ppm = 5.49 micrograms/mL = 0.00549 grams/L
0.00549 grams/L /(55.845 grams/mole) = 0.000106 M
0.000106 M * 5 mL / 50 mL = 0.0000106 M
EDIT : Also I just realized that the molar absorptivity of FeSCN is not given in the...
Homework Statement
2. A 5.00 mL aliquot of a solution that contains 5.94 ppm iron (III) is treated with an appropriate excess of KSCN and is diluted to 50.0 mL.What is the absorbance of the resulting solution at 580 nm in 2.50-cm cell?
Homework Equations
The Attempt at a Solution...
Homework Statement
Use Green's Theorem to evaluate the line integral of the vector field F along the given positively oriented curve C.
F(x,y) = <sin(x^3) +x^2(y), 3xy-(x)(y^2)+e^(y^2)> and C is the boundary of the region enclosed by the semicircle y = √(4-x^2) and the x-axis.
Homework...
Homework Statement
F(x,y,z) = <2xy + ze^xz, x^2 +ze^yz, xe^xz + ye^yz + 2z>
Homework Equations
The Attempt at a Solutionf
I know how to find the partial of F(x,y) but I don't know how to do it for F(x,y,z). How do I do this?
Honestly, I have no idea what to do, but here what I did.
From (0,0) to (2,1)
r(t) = (1-t)<0,0> + t<2,1>
r(t) = <2t,t>
x=2t
y=t
I found that the integral is from 0 to 1.
dx/dt = 2
dy/dt = 1
∫(x+2y)dx+(x^2)dy
Then I set x as 2t and y as t into the equation...
Homework Statement
Evaluate the line integral ∫(x+2y)dx+(x^2)dy, where C consists of the line segments from (0,0) to (2,1) and (2,1) to (3,0)
Homework Equations
The Attempt at a Solution
I'm unsure of what to do. I did (1-t)r0 + t(r1) for (0,0) to (2,1) and (2,1) to (3,0). I...
Homework Statement
Let D be the triangular region in the xy-plane with the vertices (1, 2), (3, 6), and (7, 4).
Consider the transformation T : x = 3u − 2v, y = u + v.
(a) Find the vertices of the triangle in the uv-plane whose image under the transformation T is the triangle D.
(b)...
Homework Statement
Let’s say you’re a scientist or engineer working for NASA and you are tasked with the responsibility of diverting an asteroid heading straight for Earth. You know that you must fire a projectile to deflect the asteroid as much as possible (without breaking it into many...
Homework Statement
Calculate the theoretical pH of each solution. The first solution was 30.00 mmol of HOAc (acetic acid) and 53.00 mmol of NaOAc. There was no water in this solution.
Homework Equations
We have to use this equation.
The Attempt at a Solution
I'm unsure of what...
Homework Statement
Find the local max/min or saddle points of f(x,y) = (x-y)(1-xy)
Homework Equations
The Attempt at a Solution
I expanded the equation to f(x,y) = x-y-(x^2)y+xy^2.
Then I found the partial derivatives of the function.
fx = 1-2xy +y^2
fy = -x^2-2xy
I'm...
Homework Statement
When plotting the centripetal force vs period graph, what goes on the x-axis and y-axis? I thought that since centripetal force does not depend on period, it goes on the x-axis, but now I'm not too sure.
It also says plot Plot Fc as a function of T.
Homework Equations...
Hey Borek, I wrote out all the formulas. My question now is what exactly am I solving for? Am I suppose to solve for all the concentrations? [Ag+], [C2O4(2-)], [HC2O4-] and [H2C2O4]?
Also how am I suppose to solve for Ag+? Is it 5.4E-12 = [2x]^2 [x]?
I found that Ka1 = 5.60 x 10^-2 and ka2 =5.10 x 10^-5. Another site listed 5.4x10^-2 and 5.4x10^-5.
EDIT: Actually, I finally found it in my text book. Ka1 = 5.62E-2 and ka2 = 5.42E-5
Homework Statement
Calculate the molar solubility of Ag2C2O4 (silver oxalate) in a solution that has a fixed H3O+ concentration of 1.0 x 10^-6 M.
Homework Equations
The Attempt at a Solution
I found the pertinent reactions, the charge balance and the mass balance so far, but I...
Homework Statement
Find the volume of the parallelepiped with adjacent edged PQ, PR, and PS.
P (-2,1,0)
Q (2,3,2)
R (1,4,-1)
S (3,6,1)
Homework Equations
Volume = PQ . (PR x PS)
The Attempt at a Solution
I first found the vectors PQ, PR and PS. Then I did the cross product...
Homework Statement
lim of (y^2)(sin^2x) /(x^4+y^4) as (x,y) approaches (0,0)
Homework Equations
The Attempt at a Solution
I got the limit as (x,y) approaches (0,y) and as (x,y) approaches (x,0), and it equals 0. But now I'm unsure of what to to next. I think it was the limit...