Calculate E∘ for each of the following reactions, and tell which are spontaneous under standard-state conditions. Part A 2Fe2+(aq)+Pb2+(aq)→2Fe3+(aq)+Pb(s) Express your answer using two decimal places. E∘ = V SubmitMy AnswersGive Up Part B Mg(s)+Ni2+(aq)→Mg2+(aq)+Ni(s) Express your answer using two decimal places. E∘ = V SubmitMy AnswersGive Up Part C Tell which are spontaneous under standard-state conditions. Check all that apply. Check all that apply. 2Fe2+(aq)+Pb2+(aq)→2Fe3+(aq)+Pb(s) Mg(s)+Ni2+(aq)→Mg2+(aq)+Ni(s)

A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False.

After being disconnected from the battery, inserting a dielectric with κ will increase C.

With the capacitor connected to the battery, inserting a dielectric with κ will decrease U.

After being disconnected from the battery, decreasing d decreases C.

With the capacitor connected to the battery, decreasing d increases U.

After being disconnected from the battery, inserting a dielectric with κ will increase V.

With the capacitor connected to the battery, increasing d decreases Q.

Consider the Universe to be spherical, mostly hydrogen gas molecules undergoing adiabatic expansion over its lifetime.

a. Using the ideal gas law and properties of adiabatic processes show T V γ − 1= C

where C is a constant.

b. The current Universe extends at least 15 billion light-years in all directions (r = 1.4 x 1026m), and the current temperature of the Universe is 2.7 K. Estimate the temperature of the Universe when it was the size of a nutshell, with a radius of 2 cm.

c. If the density of the gas in the Universe, N/V, is one hydrogen atom per cubic meter, calculate the current pressure of the Universe.

d. Estimate the pressure of the Universe when it was the size of a nutshell. (You may get a calculator overflow error)

A 25-year-old male presents to clinic complaining about eye pain and itching in his eyes. Upon examination the ophthalmologist found redness and some discharge of yellow pus. He looked into the retina to see if there were any abnormalities. He then cultured the pus and found a bacterial infection. He prescribed a fortified tobramycin ophthalmic solution of 0.5% w/v. The patient took the prescription to the pharmacist. The pharmacist looked at his shelves and found a tobramycin solution containing only 3 mg/mL concentration and a tobramycin injection containing 40 mg/mL. How many milliliters of this injection the pharmacist must add aseptically to a 5-mL container of the ophthalmic solution to prepare one 0.5% w/v in concentration

What volume of O₂ (at 1.064 atm and 21.1 ^oC) is produced by the decomposition of 6.48 kg of HgO?

2 HgO(s) --> 2 Hg(l) + O₂(g)

V = ___ L

Automobile airbags are inflated by the rapid decomposition of sodium azide (NaN₃).

2 NaN₃(s) --> 2 Na(s) + 3 N₂(g)

What volume of N₂ gas, at 1.02 atm and 23.7 ^oC, is produced by the complete decomposition of 129.3 g of sodium azide?

V = ___ L

Calculate the pressure of a 0.00179 mol of CCl₄ vapor that occupies 23 L at 21.1 ^oC if the vapor is treated as a van der Waals gas. (a = 20.4 atm L² mol^-2, b = 0.1383 L mol^-1)

p = ___ Torr

1.2

A large circle on a sphere is a circle that forms the intersection of the sphere with a plane through the center of the sphere. Consider the large circle C that arises the intersection sphere x² + y² + z² = 1 and the plane x + y + z = 0.

(a) Express the equations of the specified large circle C using spherical coordinates.

(b) Express the equations of the large circle C using cylindrical coordinates.

(c) Determine a parameterization of C by writing

r (t) = u cos t + v sin t,

where u and v are two orthogonal unit vectors in the plane that cut out C.

(d) Determine the speed and velocity of a particle traveling along the large circle

according to the parameterization in part (c), when the parameter refers to the time.

4. Describe how the demand for an over-the-counter sinus medication would change in the following situations? For each event (i, ii, iii, iv and v), answer a), b), and c), questions below.

a. Does the supply curve or the demand curve shift? In which direction?

b. State whether the equilibrium price and quantity increase, decrease or stay the same.

c. Show the changes using a standard demand/supply diagram.

i. The local population increases.

ii. The price of another sinus medication drops.

iii. Factory closings lead to a drop in the area’s average income

iv. A competing product with a different formula is found to be unsafe.

v. A research study showing that the medication causes sever dizziness is published.

A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x)=Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 14.0 mm and the potential difference between electrodes is 200 V

Determine the value of C

Obtain a formula for the electric field between the electrodes as a function of x.

Determine the magnitude of the force on an electron when the electron is halfway between the electrodes

Determine the direction of the force on an electron when the electron is halfway between the electrodes

v) How would the contractionary monetary policy affect the domestic economy’s trade balance compared to trade deficits (Expansionary Fiscal Policy)

2) Consider the following representation of a model economy,

C = 4 + 0.7Y

P = 5W

I = 1 − 2i

W/Pe = 0.02Y

Q = 0

Ms = 600

X = 0

L(i, Y ) = P(5Y − 2i)

i) Find the Aggregate Supply equation for this economy.

ii) What is “medium run” full employment output in this economy?

iii) What is the “medium run” rate of interest in this economy?

iv) What is the price-level for this economy in this “medium run”?

v) If the price expectation in this economy is Pe = 25, what would the actual short-run price level be?

Need an explination for this the answers are in the bottom

4. In pea plants, violet flower color is dominant over white flowers. For the following crosses, give the most probable genotype for EACH of the parents. !!! !! ! !

# of Progeny Parents violet! ! white

#1. violet X violet 82 0

#2 violet X violet 118 39

#3 white X white 0 50

#4 violet X white 89 92

and here is the answers :

4. We can let V be the dominant allele for violet, and v be the recessive allele for white.

#1 VV X VV, OR VV X Vv (either one works)

#2 Vv X Vv

#3 vv X vv

#4 Vv X vv