(THIS IS A MIXTURE OF ALL OF THE FOLLOWING ACIDS AND BASES MIXED TOGETHER WHERE A COMBINED pH IS WHAT I AM LOOKING FOR)

1. I have 0.500 Liters of water. To that 0.500 Liters, I add the following: a. 0.100 moles HCl b. 0.100 moles HOAc c. 0.100 moles NH4Cl d. 0.100 moles HF e. 0.050 moles NaOH f. 0.050 moles NaOAc g. 0.050 moles Mg(OH)2 What is the pH of the resulting mixture of everything?

Dissociation constants of acids: HOAc Ka=1.78x10-5 H2SO4 Ka1=1x107 Ka2=1.0x10-2 HCNO Ka=2x10-4 H2CO3 Ka1=4.3x10-7 Ka2=5.6x10-11 H2O Ka=1.0x10-14 HIO Ka=2.3x10-11 HNO2 Ka=4.5x10-4 HIO3 Ka = 1.7x10-4 HCl Ka=1x108 HNO3 Ka=1x106 HF Ka = 3.5x10-4 H2C2O4 Ka1 = 6.0x10-2 Ka2 = 6.1x10-5

Dissociation constants of bases: NH3 Kb=1.76x10-5 CH3NH2 Kb=4.4x10-4 NH2OH Kb=1.1x10-8 (CH3)3N Kb=6.5x10-5 C5H5N Kb=1.8x10-9 Mg(OH)2 Kb = 1 x106 NaOH Kb = 1x108

Asset Building #1    Building #2 Equipment

This assignment has no beginning student file. You are to create Rosey’s fixed

asset depreciation worksheets from a blank worksheet using the straight-line depreciation method and based on the information in the preceding table. No summary sheet is required. Individual assets must show depreciation over their entire useful life. Follow the text examples for formatting. Label each worksheet Building #1 SL, Building #2 SL, and Equipment SL. In the same workbook, create Rosey’s fixed asset depreciation worksheets using the double declining balance method and based on the same table. No summary sheet is required. Individual assets must show depreciation over their entire useful life. Follow the text examples for formatting. Label each worksheet Building #1 DDB, Building #2 DDB, and Equipment DDB. In the same workbook, create Rosey’s fixed asset depreciation worksheets using the sum-of-the-year’s-digits method and based on the same table. No summary sheet is required. Individual assets must show depreciation over theirentire useful life. Follow the text examples for formatting. Label each worksheet Building #1 SYD, Building #2 SYD, and Equipment SYD. In the same workbook, you should now create a chart of each asset’s depre- ciation that compares the straight-line, double declining balance, and sum-of- the-year’s-digits methods of calculating depreciation. Label each worksheet Building #1 Chart, Building #2 Chart, and Equipment Chart. Choose any line chart and chart layout that you like.

Show Your Work (Formulas in excel)

Boundary-Value Problems in Other Coordinate Systems

1. Solve ∆u = 0 in a disk x^2 + y^2 ≤ 25, where u(5, θ) = 7 sin 3θ − 6 sin 8θ and u is bounded when   r = 0.
2. Solve ∆u = 0 in an annulus 1 ≤ x^2+y^2 ≤ 4, where u(1, θ) = 75 sin θ, u(2, θ) = 60 cos θ.
3. Find the steady-state temperature distribution in a disk of radius 1 if the upper half of the circumference is kept at 100◦ and the lower half is kept at 0◦ .

1. ____ Ca (s) + ____ H2O (l) -->

2. ____ Mg (s) + ____ H2O (l) -->

3. ____ Al (s) + ____ H2O (l) --->

4.____ Zn (s) + ____ HCl (l) --->

5. ____ Pb (s) + ____ HCl (l) --->

6. ____ Cu (s) + ____ HCl (l) --->

7. ____ Al (s) + ____ NaNO3 (aq) --->

8. ____ Al (s) + ____ CuCl2 (aq) --->

9. ____ Cu (s) + ___ AgNO3 (aq) --->

double replacement reactions

1. ____NaCl (aq) + ___ KNO3 (ag) --->

2. ____ NaCl (aq) + ___ AgNO3 (aq) --->

3. ___ Na2CO3 (aq) + ___ HCl (aq) --->

4. ____ NaOH (aq) + ____ HCl (aq)

5. ____ BaCl2 (aq) + ____ H2SO4 (aq) --->

6. ____ Pb(NO3)2 (aq) + ____ K2CrO4 (aq) --->

7. ____ Fe(NO3)3 (aq) + ____ NaOH (aq) --->

8. ____ Cu(NO3)2 (aq) + ____ NaOH (aq)

Rates of Chemical Reactions: The Iodination Of Acetone

[CH_​3COCH​​₃]=4.075 [I_​2]=0.007962 [HCl]=1.051

Absorbance of dilute iodine solution at frequency 500nm = 0.506

Teperature of dilute iodine solution = 19.6 degrees

System 1 average slope = -.0015945

System 2 average slope = -0.0032355

System 3 average slope = -0.0037095

System 4 average slope = -0.00165

1. Using the equation A=X[I_​2​], calculate X

2. Calculate the initial rates of reactions for the four systems (rate is positive)

3. Calculate the initial concentrations of acetone, I₂, and H⁺ ion in each of the systems studied.

4. Calculate m and n and p using the equation rate = k[CH₃COCH₃​]^m[I₂]ⁿ[H⁺]^​p

Consider the following hypotheses:
H₀: μ = 380
H_A: μ ≠ 380
The population is normally distributed with a population standard deviation of 63.

a-1. Calculate the value of the test statistic with x−x− = 393 and n = 95. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

a-2. What is the conclusion at the 10% significance level?

a-3. Interpret the results at αα = 0.10.

b-1. Calculate the value of the test statistic with x−x− = 359 and n = 95. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b-2. What is the conclusion at the 5% significance level?

b-3. Interpret the results at αα = 0.05.

1. A hydrogen atom emits a photon when its electron falls from its 3rd excited state (?=4) to its first excited state (?=2). Another electron in a box with sides of infinite potential absorbs the photon and jumps from the ground state (?=1) to the 5th excited state (?=6).

a. [2] What is the wavelength of the emitted photon? (Calculate this, don’t just look it up)

b. [3] What is the length of the box?

c. [3] Using the fact that ∫sin2(??)??=(?²−sin(2??)4?), find the probability that we will find the electron in the first quarter of the box. How does this compare to the probability of finding the electron in that quarter of the box before the absorption of the photon (when we still had ?=1)? How do these compare to the classic probability of finding the electron in that quarter of the box?

Each unit of good X costs $2, and each unit of good Y costs $2. The following table contains information on Felix’s utility from goods X and Y.

Suppose Felix spends a total of $10 on good X and good Y each week.

To maximize his utility, Felix should purchase __________of good X and ____________ of good Y.

Given his budget, the maximum total utility Felix can obtain from the two goods is __________utils.

f(x) and g(x) are both functions with Domains and Codomains all positive Reals.

f(x) = 2x² and g(x) = 4x - 1.   If f(g(x) = 8, what is x?

____________________________

If f(x) = 7x + 3 and g(x) = 4 - x³, then what is g(f(-2))?

___________________________________

Let R be the relation from A to B, where A = {1,2,3} and B = { 5,6,7,8}

R = {(1,6), (2, 8), (3, 7), (2,6)}

Remove one ordered pair so that R will be a function from A to B.