An old car battery that has an emf of e m f1 = 11.5 V and an internal resistance of 55.0 mΩ is connected to an R = 2.00 Ω resistor. In an attempt to recharge the battery, you connect a second battery that has an emf of e m f2 = 12.6 V and an internal resistance of 10.0 mΩ in parallel with the first battery and the resistor with a pair of jumper cables.

(a) Draw a diagram of the circuit.

(b) Find the current in each branch of the circuit. (Enter your answers from smallest to largest.)

(c) Find the power supplied by the second battery. Assume that the emfs and internal resistances of both batteries remain constant.

Discuss where that power is delivered. Assume that the emfs and internal resistances of both batteries remain constant.

Inside a boiler with a volume of 0.5 m, there is wet steam with a half volume of water at 140 kPa pressure. As a result of giving heat at constant pressure, after half of the water is vaporized, heat is continued until the pressure in constant volume is 1 MPa. Then, after giving heat at constant pressure, according to the temperature is 400 ° C; Show the temperature, pressure, volume, internal energy, enthalpy and dryness levels in a table during state changes.

b) Show the state changes in P-v and T-v diagram.
c) Find the work and heat transition after the state changes.
d) Find the required amount of fuel (natural gas, coal, fuel oil) for the heat given after the state changes by making the necessary assumptions.

Consider a firm which produces according to the following production function by using labor and capital:

f(l,k) = k^{1/4 / 1/2}

(a) Solve the cost minimization problem of this firm for the given wage rate, w and the rental rate of capital,v.

(b) Derive the cost function of the firm.

(c) Solve the profit maximization of the firm for a given price p, and derive the supply function.

(d) Derive the profit function of the firm.

(e) Suppose demand for this good is given by the following relation: p = 272−2q

Now, solve for the market equilibrium price level (where demand equals supply) if w = 1 and v = 2. (f) Decide whether the production function exhibits constant, increasing or decreasing returns to scale.

Batch and continuous biomass production Pseudomonas methylotrophus is used to produce single cell protein from methanol in a 1000-m pressure-cycle airlift fermenter. The biomass yield from substrate is 0.41 gg-, Ks is 0.7 mg 1", and the maximum specific growth rate is 0.44 h. The medium contains 4% (w/v) methanol. A substrate conversion of 98% is desirable. The reactor may be operated in either batch or continuous mode. If operated in batch, an inoculum of 0.01% (w/v) is used and the downtime between batches is 20 h. If continuous operations are used at steady state, a downtime of 25 days is expected per year. Neglecting maintenance requirements, compare the annual biomass production achieved using batch and continuous reactor

question 1 (explain each code)

If more information if needed please let me know

a)t=linspace(0,1,1000); % Time t

Meaning:

b) for i=1:1000

xt(i)=v*cos(theta*pi/180)*t(i);

yt(i)=h+(v*sin(theta*pi/180)*t(i))-0.5*g*t(i)^2;

end

Meaning:

c) k = find(yt<0,1) % find index at which distance becomes

fprintf('Ball hits the ground at distance of %d meters',xt(k))

Meaning:

d) x=0:0.1:max(xt);

y=0;

plot(x,y*ones(size(x)),'--k')

Meaning:

Identify whether the following statement is true or false. Circle your answer choice. If the answer is false, correct the statement to make it true.

True / False The solubility of silver hydroxide will increase in a basic solution.

True / False An indicator is a weak organic acid that changes color in solution depending on the protonation state

True / False Solubility product constants are large for insoluble salts.

True / False The equation that will correspond to the solubility of the salt, MX3, in water is K_sp = 27x⁴

True / False A Lewis acid is the proton donor.

True / False A strong oxidizing agent has a high reduction potential

True / False Lead will oxidize first in a mixture that contains lead (E_red = −0.13 V) and zinc (E_red = −0.76 V) metals.

An aqueous solution contains 0.100 M Ce3+; 1.00 × 10-1 M Ce4+; 1.00 × 10-4 M Mn 2+; 0.100 M MnO4 - and 1.00 M HClO4 at 298 K.

You are given:

Ce4+ + e-  Ce3+ E° = 1.70 V

MnO4 - + 8H+ + 5e-  Mn2+ + 4H2O E° = 1.507 V 5.

(a) Write a balanced net reaction that can occur between the species in this solution and calculate its E° value.

(b) Calculate ΔG° and K for the reaction at 298 K.

(c) Calculate the total E for the net reaction in part (a) at 298 K.

(d) At what pH would the concentrations of Ce3+, Ce4+, Mn2+ and MnO4 - listed above be in equilibrium at 298 K?

18. (+5) Level of a node in a binary tree is distance from root to that node. For example, level of root is 0 and levels of left and right children of the root are 1.

Level      Max number of nodes

0. 1
1. 2
2. 4
3. 8
4. 16
5. 32
6. 64

..      …

n       ??

The maximum number of nodes on level n of a binary tree is :

A          2^(n-1)                         B          2^n

C          2^(n+1)                       D            2^[(n+1)//2]

In the above answers, the operator '^' indicates power (or exponent).

Hint: Check your answer using level 5 and 6 data

(+30)   4. 5. 9. Worth 4 points all others 3 points

Using the lists a and vowels as defined:

a = [ "Euclid", "Archimedes", "Newton”, “Descartes", "Fermat", "Turing", "Euler", "Einstein", "Boole", "Fibonacci", "Nash"]
vowels = ['A', 'a', 'E', 'e', 'I', 'i', 'O', 'o', 'U','u']
write a Python program that will

1. Display the longest name (done #12 below )
2. Display the shortest name
3. Display the number of names in the list NOTE: your answer should be 11 but do NOT use the constant 11 in your output; code the size of the list using len function
4. Display a string that consists of the first letter from each of 11 names in the list a

Output should be the string “EANDFTEEBFN”

See 9 in the output and consider using the + operator Must use a loop

5. Display a string that consists of the last letter from each of 11 names in the list a

Output should be the string “dsnstgrneih”

See 10 in the output Must use a loop

6. Ask the user for a letter. Display the number of times the letter appears in the list See the count function from the prior labs. For example if the user selects the character ‘F’ the output should be 2 Lowercase and uppercase are not equivalent
7. Sort list a and display the list i.e. the first name in the list should be Archimedes; last name is Turing
8. Sort the list in reverse order and display the list i.e. the first name should be Turing and the last Archimedes

For 7 and 8 use sort() and reverse() functions as needed

9. Display the number of vowels using the vowels list in the list a (in operator may be useful) See the variable vowels in the code
10. Add your last name to the list and display the list in sorted order (your last name should be in the list

Passage 14 (Questions 78–81)

The following experiments study the reactivities of several active metals (Experiment 1) and halogens (Experiment 2).

Experiment 1

Pea-sized samples of five active metals were placed in deionized water, and observations were recorded in Table 1.

Experiment 2

A saturated aqueous solution of Cl₂ was added to separate aqueous solutions of NaF, NaCl, NaBr, and NaI and mixed well. Observations were recorded. In addition, samples of salt solutions were added to separate electrolysis cells, and the minimum voltage required to produce an observable reaction at the anode was recorded. H₂(g) was produced at the cathode in each cell and, except for the NaF solution, the solutions became basic. Results are recorded in Table 2.

Experiment 1 was repeated with 0.40 g of calcium, and the gas that evolved was collected. The identity of the gas, and its approximate volume at 1.0 atm and 27°C were:
(Note: R = 0.0821 L•atm/mol•K)

H₂, 250 mL.

H₂, 500 mL.

O₂, 250 mL.

O₂, 500 mL.