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The answers are provided below, I just want to know how they're found.

1. A quantity of HI was sealed in a tube, heated to 425°C, and held at this temperature until equilibrium was reached. The concentration of HI in the tube at equilibrium was found to be 0.0706 moles/liter. Calculate the equilibrium concentration of H₂ (and I₂). (Hint: H₂ and I₂ are equal).

For the reaction: H₂(g) + I₂(g) ßà 2 HI(g) K_c = 54.6 at 425°C.

ans. 9.55 × 10^-3M

2. Consider the reaction: 2 NO₂(g) ßà N₂O₄(g).

A reaction is initiated at 100 °C with 2.35 moles NO₂ in a 3.0 L reactor (no N₂O₄ present). If the equilibrium concentration of N₂O₄ is 0.25 M, What is the value of K_c at 100°C? (Hint: Make ICE table.)

ans. 3.2

How is the state of our oceans a major concern? How is Pollution damaging our oceans at a rapid rate? How are the Oceans' ecosystems delicate and there is little of the world's oceans that are not damaged in some way?

The function f(x)=ln(6−x) is represented as a power series
f(x)=∑[n=0 to ∞] cn*x^n.
Find the first few coefficients in the power series.
c0= 
c1= 
c2= 
c3= 
c4= 
Find the radius of convergence R of the series.
R= 

The function f(x)=5/(1+49x^2) is represented as a power series
f(x)=∑[n=0 to ∞] cn*x^n.
Find the first few coefficients in the power series.
c0= 
c1= 
c2= 
c3= 
c4= 
Find the radius of convergence R of the series.
R= 

As the Human Resource Manager, you are aware that your present workers do not have the expertise to deliver the qualities and specifications that a contract requires.
You have been given two years timeline and have to restrict present staff gradually. With this schedule, you would have to go to the job market and hire workers which are already experienced in this type of production process. The Human resource "cost" will gradually rise if you try to complete the project in one year instead of two years.
As a SHRM student, advise the management taking into account, the present and future prospects of the company.
Give reasons for your choices.

A solution contains 0.115 mol H₂O and an unknown number of moles of sodium chloride. The vapor pressure of the solution at 30 °C is 25.7 torr. The vapor pressure of pure water at this temperature is 31.8 torr. Calculate the number of grams of sodium chloride in the solution. (Hint: Remember that sodium chloride is a strong electrolyte.)