The fundamental equation of a two-component system in the entropy representation is written as: . here, n = n1 + n2 and a is an unspecified constant. a closed rigid cylinder of total volume 10 l is divided into two chambers of equal volume by a diathermal rigid membrane that is permeable to the component 1 but is impermeable to component 2. one of the chambers contains the system of interest with parameters n(1) = 50, n(2) = 75, v(1) = 50 l and t(1) = 300 k. the second chamber has the same system with parameters n(1) = 100, n(2) = 50, v(2) = 50 l and t(2) = 250 k. after equilibrium is established, what are the values of n(1), n(2), p(1), p(2) and t.

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.