3. Calculate the collision frequency, binary collision number, mean free path, and viscosity for Ar gas at 298 K and 1.0 atm pressure. The collision diameter of Ar is 3.64 Å. Assume that Ar behaves ideally under these conditions.

Determine the pH at the equivalence (stoichiometric) point in the titration of 34 mL of 0.16 M C₆H₅OH(aq) with 0.16 M NaOH(aq). The K_a of phenol is 1.0 x 10^-10

^{The answer is 11.45 I'm just not sure how to get it}

calculate the pH of the following

a) 20.00 mL of 1.40 M HCl diluted to .500 L

b) a mixture formed by adding 44.0 mL of 2.5 × 10^-2 M HCl to 150 mL of 1.0 ×10^-2 M HI

Suppose X₁,  X₂,  X₃ are i.i.d. Exp( λ ), and that we observe the realizations X₁ = 1.0,  X₂ = 2.0, and X₃ = 3.0. What is the maximum likelihood estimate of Pr(X₁> 2)?

Please explain your steps/answers if possible.

If the risk free rate of return is 7%, the required return on the market is 10%, and the required rate of return on Stock J is 13%, what is Stock J’s beta coefficient?

a. 1.0

b. 1.5

c. 2.0

d. 2.5

e. 3.0

Calculate the [Ag⁺] in a solution prepared by dissolving 1.00g of AgNO₃ and 10.0g KCN in enough water to make a 1.00 L of solution Kf[Ag(CN)₂]^1-=1.0 x 10²¹

Answer: [Ag⁺] = 2.9 x 10^-22M

Water at 50 °F is being transported from one open reservoir to another open reservoir using a concrete pipe. The two reservoirs are 1.5 miles apart with a difference in surface elevations of 25 ft. Determine the minimum pipe diameter needed to carry 10 ft3 /s of water.

An airliner flies against the wind on one leg of its round trip in 4.5 hours. It flies back to its starting​ point, with the wind in 4 hours. If the average speed of the wind is 15 miles per​ hour, what is the speed of the airliner in still​ air?

The rate of the airliner in still air is _____ _____