A weak base, B, (Kb=1.0 *10-7) equilibrates between water (phase 1) and benzene (phase2). a) Define the distribution coefficient for this system b) Explain the difference between the partition coefficient, K, and the distribution coefficient, D, for this system. c) Calculate D at a pH of 9 if K=5.0 d) Will D be greater at pH of 10 than 9? Explain.

A home run is hit in such a way that the baseball just clears a wall 14.0 m high, located 122 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

Find the velocity components of the ball when it reaches the wall.

x - component

y- component

A three-legged wooden bar stool made out of solid Douglas fir (the Young's modulus is 1.0×1010N/m2) has legs that are 2.0 cm in diameter.

When a 85 kg man sits on the stool, by what percent does the length of the legs decrease? Assume, for simplicity, that the stool's legs are vertical and that each bears the same load.

Express your answer in percent.

The risk-free rate is 4%. The expected market rate of return is 11%. If you expect CAT with a beta of 1.0 to offer a rate of return of 11%, you should:

buy CAT because it is overpriced

sell short CAT because it is overpriced

sell stock short CAT because it is underpriced

buy CAT because it is underpriced

hold CAT because it is fairly priced

A 7.0-kg rock at a temperature of 30°C is dropped into a shallow lake at 30°C from a height of 1.0×10^5 m. What is the resulting change in entropy of the universe? (b) If the temperature of the rock is 100°C when it is dropped, what is the change of entropy of the universe? Assume that air friction is negligible (not a good assumption) and that c=860J/kg·K is the specific heat of the rock.

A chemist studying the reaction C2H4 (g) + I2 (g) ⇌ C2H4I2 (g) places 3.0 mol of C2H4 and 1.0 mol of I2 in a 2.0 L vessel and raises the temperature to 200.0 °C. At equilibrium, the concentration of C2H4I2 is 1.51 × 10-2 M. The chemist then adds 2.0 mol of I2 to the vessel and allows it to reach a new equilibrium. What is the concentration of C2H4I2 at the new equilibrium?

A 40 ft simple span beam is loaded with a uniform dead load of 2.4 kips/ft plus the beam self-weight and a uniform live load of 3.3 kips/ft. The lateral supports are located at the supports and at the midpoint of the span. Determine the leastweight W-shape to carry the load. Use A992 steel and Cb= 1.0. Design by (a) LRFD and (b) ASD. [6.16-36]

.   If you have $30,000 invested in each of two stocks and $20,000 invested in each of another three stocks and the betas on the stocks above are 0.8, 1.1, 1.0, 1.2 and 1.4, respectively, what is the beta of your portfolio, and what is the required return on the portfolio if the risk-free rate is 4.6% and the return on the market portfolio is 10.4%? What are the risk premiums for the market and for your portfolio?

The following information is given about a vertical curve:
Station of VPI = 150+00.00 feet
Elevation of VPI = 2500.00 feet
L = 1000.00 feet
g1 = -3.0%
g2 = 1.0%
(a) Find the stations and elevations of the BVC and EVC.

(b) Also, what is the station and elevation of the lowest point of the curve?

(c) Calculate the first and second differences on the curve elevations of the full stations

The possible outcomes for the returns on Stock X and the returns on the market portfolio have been estimated as follows:

Scenario	Stock X	Market portfolio
1	-3%	6%
2	14%	12%
3	22%	18%

Calculate the market beta for Stock X. Round your answer to the nearest tenth.

		A) 2.1
		B) 0.7
		C) 1.0
		D) none of the above