The enzyme fumarase catalyzes the hydrolysis of fumarate:

Fumarate(aq) + H₂O(liq) → L-maleate(aq)

The turnover number k₂ for this enzyme is 2.5 × 10³ s^-1, and the Michaelis constant is 4.2 × 10^-6 mol / L.

(a) What is the rate of fumarate conversion v if the total concentration of the enzyme is 1.0 × 10^-7 mol / Land the concentration of fumarate is 3.0 × 10^-4 mol / L?

(b) What is the ratio (v/v_max) in the conditions of question (a)?

(c) At what concentration of fumarate is (v/v_max) = 0.28?

1. The following table lists the ion composition of water. What are the mg/L concentrations of each? Does this water have charge balance? If no, then some ion is missing. Would it be a cation or an anion? From these values compute the TDS in mg/L and the hardness in mg/L as CaCO3. Are these values low, normal, or high? Is any other ion out of the desired range?

Ion              Concentration, mmole/L

Ca²⁺                                     4.8

Mg²⁺                       1.2

Fe³⁺                         0.5

Na⁺                         1.5

SO₄^2-                       1.0

Cl^-                           5.0

HCO₃^-                      8.0

1a. A reaction follows the rate expression of r=-kC^1.5. The feed concentration is 1Mol/L and reaction rate constant k was determined to be 1.0(L/mol)^1/2/h. What is the volume requirement for a Continuous Stirred Tank Reactor at 90 percent conversion? What is the volume requirement for a Plug Flow reactor at 90 percent conversion?.

b. Derive the solution to mass balance equations for the nth-order reactions occuring in a Plug Flow Reactor and a Continuous Stirred Tank Reactor at a steady state

A 10-cm-long thin glass rod uniformly charged to 15.0 nC and a 10-cm-long thin plastic rod uniformly charged to -15.0 nC are placed side by side, 3.50 cm apart. What are the electric field strengths E1 to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line connecting the midpoints of the two rods?

Specify the electric field strength E1

Specify the electric field strength E2

Specify the electric field strength E3

Just after detonation, the fireball in a nuclear blast is approximately an ideal blackbody radiator with a surface temperature of about 0.84 × 10⁷ K. (a) Find the wavelength at which the thermal radiation is maximum and (b) identify the type of electromagnetic wave corresponding to that wavelength. This radiation is almost immediately absorbed by the surrounding air molecules, which produces another ideal blackbody radiator with a surface temperature of about 1.0 × 10⁵ K. (c) Find the wavelength at which the thermal radiation is maximum and (d) identify the type of electromagnetic wave corresponding to that wavelength.

HalHal

and

NickNick

are racing to develop a new brand of

tooth whitenertooth whitener.

They both believe that it will be

more effective than all othersmore effective than all others.

HalHal

and

NickNick

know that if they both develop the new​ product, they will make zero economic​ profit; if only one of them develops the new​ product, that firm will make an economic profit of

​$2.52.5

million a week and the other will incur an economic loss of

​$1.01.0

million a​ week; and if neither of them develops the new​ product, both will make an economic profit of​ $1.0 million.

1. Calculate the permeability of electrons with energy of 0.1 eV and 0.5 eV respectively when penetrating a positional energy barrier of 1.0 eV in height and 100 pm in length by tunnel phenomenon.
k Attachment image=[2m(V-E)]^1/2
T={1+(e^kL-e^-kL)^2/16ε(1-ε)}^-1 (ε= E/V)
2. Explain the meaning of tunneling covered in the above problem with the wave and explain the difference between classical and quantum mechanics based on it.

The number of messages that arrive at a Web site is a Poisson random variable with a mean of five messages per hour.

a. What is the probability that five messages are received in 1.0 hour?

b. What is the probability that 10 messages are received in 1.5 hours?

c. What is the probability that fewer than two messages are received in 0.5 hour?

d. Determine the length of an interval of time such that the probability that no messages arrive during this interval is 0.90.

I think I got A,B, and c. i mainly need help with D.

A 10-cm-long thin glass rod uniformly charged to 15.0 nC and a 10-cm-long thin plastic rod uniformly charged to - 15.0 nC are placed side by side, 3.80 cm apart. What are the electric field strengths E1 to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line connecting the midpoints of the two rods? Specify the electric field strength E1 Specify the electric field strength E2 Specify the electric field strength E3