A chemistry lab is conducting quality control tests on a drug. A single dosage of the drug should contain 8 mg of active ingredient. Of course, there will be a small amount of variability due to imperfections in the production process, bu the mean of all dosages produced should be 8 mg with a standard deviation of 0.2 mg. In 40 random dosages, the mean amount of active ingredient is 8.1 mg. Does the data suggest that the mean amount of active ingredient in all dosages produced is different from 8 mg?

Prepare 100ml of homogenization buffer. Calculate how to do this with (c1V1=c2V2) where C is concentration and V is volume.

Initial Stock solutions:---------------------- Final Buffer:

50mM TrisCl, pH8.6 ---------------------------10mM TrisCl, pH 8.6

100mM PMSF-----------------------------------1mM PMSF

20mM EDTA--------------------------------------1mM EDTA

20 uM pepstatin A -------------------------------0.2 uM pepstatin A

7.1 M 2-mercaptoethanol ----------------------1 mM 2-mercaptoethanol

Please show your work so I can reason through this! Thanks

Q.8. Super-heated steam at 875 K is flowing through a thick walled tube of stainless tube with inside diameter 40mm and outside diameter50mm such that its inner wall is heated to a uniform temperature of 875K.To reduce heat loss, the tube is lagged with 30mm layer of asbestos insulation k=0.2 W/m.K. Calculate the heat loss using the electrical analogy per metre length if the outer surface temperature of the insulated tube is 350K.Thermal conductivity of steel=19 W/m.k.

For the differential equation x′′ + (o.1)(1 − x2)x′ + x = 0; x(0) = 1, x′(0) = 0. (a) Rewrite it as a system of first order differential equations in preparation to solve with the vectorized version of a numerical approximation technique. (b) Use the vectorized Euler method with h = 0.2 to plot out an approximate solution for t = 0 to t = 10. (c) Plot the points to the approximated solution (make a scatter plot), make a prediction of what type of function the solution might be.

1. Suppose that the tax rate is 50% and the probability of getting caught evading taxes is 20% plus an additional 10% for every $10,000 in tax evasion. (Hence, P = 0.2 + 0.1X, where X is measured in $10,000s of evasion.) Individuals who are caught evading taxes will be forced to pay the taxes they owe in addition to a $30,000 penalty.

1. a) What is the expected benefit of evading $100,000?

2. b) What is the expected cost of evading $100,000?

3. c) How much evasion will a risk-neutral taxpayer engage in?

I did an experiment known as "Identification of an unknown aldehyde and unknown ketone."

First I added 0.2 mL aldehyde, 1 mL ethanol, 49 drops of water, 2 more drops ethanol, and 4 drops of phenylhydrazone in a flask. I put the solution in ice and crystals formed. My end product weighed 0.105 g. Please calculate the percent yield of the phenylhydrazone reaction assuming the aldehyde is the limiting reagent.

Aldehyde= 4-methylbenzaldehyde (1.019 g/ mL = density)

2. The surface of a 0.1% C steel gears is to be hardened by carburizing. In gas carburizing, the gears are placed in an atmosphere that provides 1.2% C at the surface of the steel at a high temperature. Carbon then diffuses from the surface into the gear. For optimum properties, the steel must contain 0.45% C at a depth of 0.2 cm below the surface. Design a carburizing heat treatment schedule that will produce these optimum properties. Assume that the temperature is high enough (at least 900°C) so that the iron has the FCC structure.

Describe how would you prepare the GTE (50 mM Glucose, 20 mM Tris, EDTA) Resuspension Solution for use in a mini-prep. You have the following stock solutions: 0.5 M glucose, 0.2 M Tris-HCl (pH 8.0), 0.5 M EDTA (pH 8.0).
How would you prepare 150 mL of GTE re-suspension solution using the above stocks?

Also, describe how to prepare the solution in appropriate container and aseptic technique.

A maximum of 10% of the energy present in any trophic level is passed on to the next level when an organism from the lower level is consumed by an organism from the higher level.  Imagine that an acre of land produces 50 pounds of plant biomass per week.  Calculate how many acres of land would be required to support a tertiary consumer (some type of carnivore) that consumes 10 pounds of prey per week.