In 29–32 use the power series method to solve the given

Organic Chemistry 8
Problem 32SP Calculate the specific rotations of the following samples taken at 25 C using the sodium D line. (a) 1.00 g of sample is dissolved in 20.0 mL of ethanol. Then 5.00 mL of this solution is placed in a 20.0-cm polarimeter tube. The observed rotation is 1.25 counterclockwise. (b) 0.050 g

Introductory Chemistry 5
For the reaction shown, calculate the theoretical yield of product in moles for each of the initial quantities of reactants. \(2 \mathrm{Mn}(\mathrm{s})+3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{MnO}_{3}(\mathrm{~s})\) (a) 2 mol Mn; 2 mol \(\mathrm{O}_{2}\) (b) 4.8 mol Mn; 8.5 mol \(\m

Physics: Principles with Applications 6
Problem 13P An ordinary glass is filled to the brim with 350.0 mL of water at 100.0C. If the temperature decreased to 20.0C, how much water could be added to the glass?

Principles of Microeconomics 7
Describe some of the trade-offs faced by each of the following: a. a family deciding whether to buy a new car b. a member of Congress deciding how much to spend on national parks c. a company president deciding whether to open a new factory d. a professor deciding how much to prepare for classe.a rec

Chemistry 9
A certain microwave oven delivers 750. watts (J/s) of power to a coffee cup containing 50.0 g water at 25.08C. If the wavelength of microwaves in the oven is 9.75 cm, how long does it take, how many photons must be absorbed, to make the water boil? The specific heat capacity of water is 4.18 J/8C ? g

Principles of Economics 1
Is it true that the four-firm concentration ratio puts more emphasis on one or two very large firms, while the Herfindahl-Hirshman Index puts more emphasis on all the firms in the entire market? Explain briefly.

Chemistry 13
The unit troy ounce is often used for precious metals such as gold (Au) and platinum (Pt). (1 troy ounce = 31.103 g.) (a) A gold coin weighs 2.41 troy ounces. Calculate its mass in grams. (b) Is a troy ounce heavier or lighter than an ounce? (1 lb =16 oz; 1 lb = 453.6 g.)

College Physics: Explore and Apply 2
(a) What is the ratio of the gravitational force that Earth exerts on the Sun in the winter and the force that it exerts in the summer? (b) How many correct answers can you give for part (a)? (Hint: Earths orbit is an ellipse with the Sun located at one of the foci of the ellipse. Think about the