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A solution of 50 mL of 0.3 M R-enantiomer is mixed with 10 mL of 0.5 M S-enantiomer. The observed rotation is + 7.6 degrees. Calculate the enantiomeric excess of the solution, the specific rotation
A(n) 0.65 mole quantity of O2 originally at 85 degrees celcius is cooled such that is now occupies 4.0 L at 20 degrees celcius. What is the final pressure exerted by the gas?
A 4.0 L flask containing N2 at 15 atm is connected to a 4.0 L flast containing H2 at 7.0 atm and the gases are allowed to mix. What is the mole fraction of N2.
Silver ion forms a complex ion with cyanide,Ag(CN)2-. Its formation constant equals 5.3 x1018. What is the value of the instability constant?
What value of pH permits the selective precipitation of the sulfide of just one of the two metal ions in a solution that is0.020 molar in Pb2+ and 0.020 molar inFe2+?
Suppose we vaporize a mole of liquid water at 25C and another moleof water at 100C. Assuming that the enthalpy of vaporization ofwater does not change much between 25C to 100C, which process involve
One of the many remarkable enzymes in the human body is carbonic anhydrase, which catalyzes the interconversion of carbonic acid with carbon dioxide and water. If it were not for this enzyme, the bo
Find the linear function satisfying the given conditions. The x and y-inercepts of the inverse function are 5 and -1 respectively.
Explain why f^-1 is linear. In particular, what are the slope and y-intercept of the graph of y= f^-1(x)? What happens when m=0?
Investigate the inverse of a composite function. In parts b and c, which involve graphing be sure the same size unit and scale on both axes so that symmetry about the line y = x can be checked visua
Determine if exponential functions only model phenomena that grow, or if can they also model phenomena that decay.
Define a function n that represents the time in years since 2010 as a function of c, the concentration of the pollutant in Edmonton in ppm.
Because of corrosion, the surface area of the cable decreases at the rate of 750 in2 per year. Express the diameter d of the cable as a function of time t (in years). (Disregard corrosion at the end
Find the number (in millions) of women enrolled in U.S. colleges in the year 1998. Find the number (in millions) of men enrolled in U.S. colleges in the year 1998.
Angular speed is the rate at which the central angle is changing. Suppose a bicycle wheel with diameter 700 mm makes 30 revolutions in t seconds. Write an equation for the angular speed, v, as a fun
Calculate the maximum possible volume of the cylinder. It is probably best to take as your independent variable the height, or half the height, of the cylinder.
The company estimates that for each $25 increase in rent, 5 apartments will become unoccupied. What rent should be charged so that the company will receive the maximum monthly income?
A company sells running shoes to dealers at a rate of $40 per pair if fewer than 80 pairs are ordered. What size order will produce the maximum amount of money for the company?
A doorway has the shape of a parabolic arch and is 16 feet high at the center and 8 feet wide at the base. If a rectangular box 15 feet high must fit through the doorway, what is the maximum width t
Create your own graph of a function and find its domain ad range. State a real life situation that could be represented by your graph. Is your graph continuous? Explain.
Give an example of factoring using greatest common factor GCF, work the problem using GCF- show all steps. Consider the statement \((x+y)^{2}=x^{2}+y^{2}\).
Derive an expression for the terminal velocity of the bar if it is allowed to fall free along this frame starting from rest. Neglect friction between the wired and metal bar.
You may introduce other variables to help you reach a solution but your final solution can only contain the given variables and g.
What's the least number of computers must he sell in order to not lose money in his venture? This number of computers is called the 'break even' point.
A 2.0 mH inductor is connected in parallel with a variable capacitor. The capacitor can be varied from 100 pF to 200 pF. Part A: What is the minimum oscillation frequency for this circuit?