An elastic (stretchable) balloon made of a material that is permeable to water but not to any solutes is filled with an aqueous solution containing 0.1 M glucose and 0.3 M NaCl. The balloon is then sealed and completely immersed in an second aqueous solution with NaCl as the only solute. The balloon does not expand or contract. What is the concentration of NaCl in the solution that the balloon was immersed in (the second solution)? Assume all salts undergo complete dissociation.

. Air enters the compressor of an ideal gas refrigeration cycle at 7oC and 40 kPa and the turbine at 37oC and 170 kPa. The mass flow rate of air through the cycle is 0.3 kg/sec. Assuming variable specific heats for air, determine (a) the rate of refrigeration, (b) the net power input, and (c) the coefficient of performance. Also, draw the T-s diagram of the gas refrigeration cycle.

Fluids of viscosities μ1=0.15 N‐s/m2 and μ2=0.18 N‐s/m2 are contained between two plates (each plate is 0.85 m2 in area). The thicknesses are h1=0.6 mm and h2=0.3 mm, respectively. Find the force F to make the upper plate move at a speed of 1.5 m/s. What is the fluid velocity at the interface between the two fluids?  

Ebenezer Scrooge has invested 50% of his money in share A and the remainder in share B. He assesses their prospects as follows:

A B

Expected return (%) 18 19

Standard deviation (%) 20 24

Correlation between returns 0.3

a. What are the expected return and standard deviation of returns on his portfolio?

b. How would your answer change if the correlation coefficient were 0 or –0.30?

You’ve identified a comparable firm for a new division you are heading up. The comparable has an equity beta of 1.4 and its debt has a beta of 0.3. The equity of the comparable has a market value of $30B and has $4B in debt outstanding. The market risk premium is 6% and the risk-free rate is 2%. What is the appropriate discount rate to use for your division’s assets/projects?

There are two traffic lights on a commuter's route to and from work. Let X₁ be the number of lights at which the commuter must stop on his way to work, and X₂ be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n = 2).

(a) Determine the pmf of T_o = X₁ + X₂.

(b) Calculate μ_To.
μ_To =  

How does it relate to μ, the population mean?
μ_To =  · μ

(c) Calculate σ_To².

How does it relate to σ², the population variance?
σ_To² =  · σ²

(d) Let X₃ and X₄ be the number of lights at which a stop is required when driving to and from work on a second day assumed independent of the first day. With T_o = the sum of all four X_i's, what now are the values of E(T_o) and V(T_o)?

(e) Referring back to (d), what are the values of

P(T_o = 8) and P(T_o ≥ 7)

[Hint: Don't even think of listing all possible outcomes!] (Enter your answers to four decimal places.)

Two hFGF-1 mutants, A and B, are purified using a heparin-Sepharose column. Mutant A is eluted upon addition of 0.1M NaCl. Mutant B is eluted upon addition of 0.2 M NaCl. Which protein has a higher affinity for heparin? Is either protein expected to be 100% pure after this purification step?

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 14.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 14.44 seconds or faster? (Round your answer to two decimal places.)

A solenoid with 2000 turns/meter is connected to a power source that delivers an increasing current i60t^2 Ampere.The solenoid has a length of 0.2 m and a radius of 0.05 m.

a.what is the magnetic field as a function of timr inside the solenoid?

b.Use Faraday's law to find the induced emf caused by this changing magnetic field.