Benzene and toluene form an ideal solution. At 25 oC, the vapor pressure of pure benzene is 100 torr, and the vapor pressure of pure toluene is 30.0 torr. A solution is prepared of 1.0 mol benzene and 2.0 mol toluene. Some of the solution evaporates in a closed system. What is the mole fraction of benzene in the vapor?

A. 0.33

B. 0.43

C. 0.53

D. 0.63

E. 0.73

What is the standard reduction potential of the Y¹⁺/Y redox couple if the cell potential of the following cell at 25 ^oC is 0.98 V?

Zn / Zn²⁺ (0.34 M) // Y¹⁺ (1.1 M) / Y

E^o =

What is the cathode pH in Co/Co²⁺(1.00 M)//H¹⁺(x M), H₂(1.0 atm)/Pt if E = 0.06 V? Give the pH to 0.01.

pH=

An HSS 16x16x1/2 (A = 28.3 in2, twall = 0.465 in, rx = ry = 6.31 in) with Fy =46 ksi is used for an 18 ft long column with simple end supports (K = 1.0)

a) calculate b/t and classify this element (nonslender element or slender element)

b) calculate KL/r

c) calculate Fcr

d) determine Φc Pn and Pn/Ωc with the AISC equation.

Draw the return-risk relationship and discuss this relationship of possible investments to the two assets below

Note: You should analyze different cases of correlation (for example: -1, -0.5, 0, 0.5, 1) between the two assets

Risk-Free rate: 1.0%

Asset 1: Expected return 2.0%; Standard deviation 9.0%

Asset 2: Expected return 1.2%; Standard deviation 6.0%

Suppose you are given the following data: 2-month option on XYZ stock:

Underlying S = 118.49

Strike X = 120

Put price = $2.1

A. What should be the price of call to prevent arbitrage if 2-month interest rate is 6% p.a.?

B. If the actual call price was $1.0, how would you implement an arbitrage opportunity?

C. Compute your payoff at maturity.

Question 15

your working capital ratio went from 2 to 1, would that generally be seen as a positive or negative movement?

Question 16

Your gearing ratio has moved from 0.5 to 1.0: is that generally regarded as a Positive or Negative movement?

Question 17

Your analysis of labour costs indicates negative deviations: what might you suggest to improve this situation?

Estimate the number of Solar neutrinos passing through a detector on the Earth in one second. Assume that the detector has a surface area of 1.0 square meters and is aligned so that it faces directly towards the centre of the Sun. Assume that every neutrino travels without any change (i.e. none are absorbed or converted to a different particle). Also assume that the energy carried out of the Sun by the neutrinos is negligible

A laser puts out 4.4 W of continuous power at a wavelength of 532 nm. The diameter of the laser beam is 5.1 mm

If the laser is pointed toward a pinhole with a diameter of 1.0 mm, how many photons travel through the pinhole per second? Assume that the light intensity is equally distributed throughout the entire cross-divisional area of the beam. (1 W = 1 J/s)

Question

25.0 mL of ethanol (density = 0.789 g/mL) initially at 7.0 C is mixed with 35.0 mL of water (density = 1.0 g/mL) initially at 25.3 C in an insulated beaker. Assuming that no heat is lost, what is the final temperature of the mixture?

please explain equation step by step I am confused and thank you in advance (my professor isn't helpful )

Your retirement fund consists of a $7,500 investment in each of 20 different common stocks. The portfolio's beta is 1.95. Now, suppose you sell one of the stocks with a beta of 1.0 for $7,500 and use the proceeds to buy another stock whose beta is 2.05. Calculate your portfolio's new beta. Do not round intermediate calculations. Round your answer to two decimal places.