While running the titration of your unknown monoprotic acid with NaOH, the pKa of the acid is 3.14. Considering the data in the following table, at what volume of NaOH would you need to reach the equivalence point? units mL, 1 decimal place

The Ostrowski method for finding a single root of ?(?)=0 is given by
Initial guess ?0 ??=??−?(??)?′(??), ??+1=??−?(??)?′(??) ?(??)?(??)−2?(??).
a) Write MATLAB or OCTAVE coding to implement the Ostrowski method.
(Hint: You may use the coding of Newton Method given in Moodle pages)
b) Use your coding to find a root of the equation
(?−2)2−ln(?)=0
With initial guess ?0=1.0 and ?0 = 3.0.
Write or print the results in your Homework sheet.

1) The enzyme prostaglandin synthase uses aracadonic acid as the substrate and produces product PGG2. If 10mM Ibuprofin inhibits this enzyme as is seen in the 3rd column..

[S](mM)      PGG2(Vo mM/min)      I (Vo mM/min)

0.5               23.5                              16.67

1.0               32.2                              25.25

1.5               36.9                              30.49

2.5               41.8                              37.04

3.5               44.0                              38.91

What is the Ki' ? (THE ANSWER IS UNDEFINED, EXPLAINS AND SHOW YOUR WORK PLEASE)

Steam enters a turbine at a velocity of 200 m/s. The inlet conditions of the steam are at 4000 kPA and 500°C. The diameter of the inlet pipe is 50 mm. The outlet conditions of the steam are 80 kPa and a quality of 1.0. The diameter of the outlet pipe is 250 mm. Determine the turbine power output in kJ/s assuming the kinetic energy change and potential energy change are both negligible. Calculate the change in kinetic energy to show it is indeed negligible.

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.0 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.) (a) the thickness is less than 3.0 mm (b) the thickness is more than 7.0 mm (c) the thickness is between 3.0 mm and 7.0 mm

The following data are available relating to the performance of Rock Fund and the Market portfolio:

The risk-free return during the sample period was 6%.

Calculate the M² measure for the Rock Fund?

Select one:

a. 0.8%

b. 40%

c. 20%

d. 4%

e. 2.86%

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 16 engines and the mean pressure was 6.9 pounds/square inch with a variance of 1.0. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.

Consider a turbine; working substance is air.

cp=1.0 kJ/kgK ,    k=1.4

v1=0.03 ,    v2=0.08 m3/kg ,     p1=2.5 bar; state 1 is enterance, state 2 is the exit of the turbine. The turbine is not ideal (isentropic); the air goes through a state change according to pv^n=constant ,      n=1.6 Compute the ideal and actual specific works and turbine efficiency.

pvn=constant ,      n=1.6

The shape of a limacon can be defined parametrically as

                                   r = r0 + cos θ,

                                   x = r cos θ,

                                   y = r sin θ.

When r0 = 1, this curve is called a cardioid. Use this definition to plot the shape of a limacon for r0 = 0.8, r0 = 1.0, and r0 = 1.2. Be sure to use enough points that the curve is closed and appears smooth (except for the cusp in the cardioid). Use a legend to identify which curve is which. This is python programming

Acetylene, C₂H₂ (boiling point = –84°C), is produced by the reaction of solid calcium carbide, CaC₂, and liquid water. Calcium hydroxide solution is the other product of the reaction. 127 kJ of energy is transferred to the atmosphere per mole of acetylene reacted. What mass of calcium carbide in kilograms and volume of water in gallons are needed to produce 125 cubic feet of acetylene at 17°C and 1.0 bar? What quantity of energy in megajoules will be transferred in the process?