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...
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?
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...
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...
Homework Statement
x^2 + y^2 = a^2
A circle with radius a and at the origin (0,0) is rotated around x=b (b is greater than a). Find the volume of the doughnut it creates as it is rotated.
Homework Equations
The Attempt at a Solution
I'm unsure if I'm doing this right, but I...
Homework Statement
3,4-dibromo-2,5-dimethylhexane treated with excess k t-butoxide will form an alkyne and diene. The IR spectra shows bands at 3010,2995,2980,1610,1450,1380 and 1050 cm^-1.
What are the predicted products? Which one actually formed? Why?
Homework Equations
The Attempt...
Homework Statement
Create cis-1,2-epoxy-1-phenylhexane from (E)-1-phenyl-1-hexene
Homework Equations
The Attempt at a Solution
My teacher asked for two ways to create this and I think I've got the first.
The first way was by treating (E)-1-phenyl-1-hexene with H2 and poisoned...
Homework Statement
http://en.wikipedia.org/wiki/File:Aspart… [Broken]
What are the 2 most acidic hydrogens in this molecule?and why?
Homework Equations
The Attempt at a Solution
I narrowed it to:
1) the H on the carbon wedge connected to NH
2) the H on the carboxylic...
Homework Statement
What exactly does partition coefficient tell us? if I have a low partition coefficient, does that mean its less soluble in that compound?
Homework Equations
The Attempt at a Solution
I had .0555g Benzoic acid mixed with water and methylene chloride. It...
Homework Statement
A voitaic cell consists of a Zn/Zn^2+ half-cell and Ni/Ni^2+ half-cell at 25C. The initial concentration of Ni^2+ and Zn^2+ are 1.50M and .100M respectively.
What are the concentrations of Ni2+ and Zn2+ when the cell potential falls to 0.45V?
Homework Equations...
Homework Statement
A 200.0 mL buffer solution is 0.280 M in acetic acid and 0.280 M in sodium acetate. What is the pH after addition of 0.0050 mol of HCl?
Homework Equations
pH = pKa + log[base]/[acid]
The Attempt at a Solution
I have a problem with the significant figures...
Homework Statement
Calculate the ph of a buffer made by mixing 50.0 mL of 0.10M of acetic acid with 50.0 mL of 0.10M sodium acetate. Use the Henderson-Hasselbalch equation.
Homework Equations
pH = pKa + log ([base]/[acid])
The Attempt at a Solution
I know how to do this problem...
Homework Statement
H2 + I2 -> 2HI
A reaction mixture in a 3.67 L flask at a certain temperature initially contains 0.763 g H2 and 96.9 g I2. At equilibrium, the flask contains 90.4 g HI.
Calculate the equilibrium constant Kc for the reaction at this temperature.
Homework Equations
The...
Homework Statement
The equation for the best fit line was y = - 5307.5x + 19.55. Using the equation of the best fit line, calculate the heat of vaporization and the normal boiling point (in C) of this volatile liquid. (Hint: What is the value of Pvap when liquid boils at its normal boiling...
Homework Statement
A 0.250-g sample of a magnesium-aluminum alloy dissolves completely in an excess of HCl(aq). When the liberated H2(g) is collected over water at 29C and 752 torr, the volume is found to be 313 mL. The vapor pressure of water at 29C is 30.0 torr.
Homework Equations...
Homework Statement
Sodium carbonate is often added to laundry detergents to soften hard water and make the detergent more effective. Suppose that a particular detergent mixture is designed to soften hard water that is 3.8×10^−3 M in Ca2+ and 1.1×10^−3 M in Mg2+ and that the average capacity...
Homework Statement
A certain metal hydroxide, M(OH)2, contains 32.8% oxygen by mass. What is the identity of the metal M?
Homework Equations
O = 16.00 g x2
H = 1.008 g x2
The Attempt at a Solution
I thought that 1g = 1% of the mass because there are 32g of O and it composed of...
Homework Statement
Cornstarch does not burn when its grouped together, but when you blow it into a flame, it creates a fireball. Why is this?
Homework Equations
n/a
The Attempt at a Solution
I found out that other materials, like flour and some metals, create a fireball or flame...
Homework Statement
My teacher used soda to power up a clock. He used a magnesium and copper wire, and soda (sierra mist)
I have to explain why and how this happened.
Homework Equations
n/a
The Attempt at a Solution
My teacher said it had something to do with...