My last name starts with A so my compound is Acetic Acid. Please help. 17. A che

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My last name starts with A so my compound is Acetic Acid. Please help.

17. A chemist wishes to study (get your gas name below) at high pressures and low temperatures. A. Why are these conditions where a gas would act nonideally? B. Use the ideal gas law to calculate the number of moles of your gas required to produce a pressure of 200.0 atm in a 2.000 L container at 200.0°C above your gases boiling point. You will have to look up your gases boiling point and then add 200 C to it. C. Repeat the calculation in part Bhead, but use the van der Waals equation to obtain a more accurate value. This problem must be solved iteratively. To solve this equation iteratively, ask your instructor how. Your answer for the number of moles must be correct to 4 significant figures. (See the end of this homework for hints on how to solve a problem iteratively.) D. What is the percent error in the ideal gas law estimate? (Assume that the van der Waals value is correct.) If your last name starts with atm/mol) b (Lm Compound Acctic acid Acetic anhydrid Acetone A cetonitrile Acetylene Ammonia 0.1068 0.1263 17.82 20.16 14.09 17.81 4.448 4.225 0.03707 1.363 0.1168 0.05136 E, F 0.03219 0.1539 0.1226 I, J 18.240.1154 28.94 14.66 3.640.04267 11.77 I 0.07685 Benzene Bromobenzene Butane Carbon dioxide Carbon disulfide Carbon monoxide Carbon tetrachloride Chlorine Chlorobenzene Chloroethane Chloromethane 0.03985 0.1281 0.05622 0.1453 0.08651 0.06483 0.06901 0.1424 19.7483 Q, R U, V W, X Y, Z 25.77 11.05 7.57 7.769 23.11 Cyclohexane How to solve the van der Waals equation iteratively: The van der Waals equation is a third order equation (it has a third power of n, the number of moles). One way to solve a third order equation is to solve it iteratively. To do this, you first need a "guess" for the solution to the equation. Our guess will be supplied by the solution to the ideal gas law at the same temperature and pressure. Van der Waals equation: Rearrange to solve for n on the right-hand side by dividing both sides by RT RT Now, plug in all of the numbers to the left-hand side and solve for n on the right hand side. Let's say you plug in n 12.34 mol on the left-hand side with all of the other numbers (P, V, T, R, a, and b), and the number you get for n on the right-hand side is n-13.56 mol. That was your first iteration! Then plug n 13.56 into the left-hand side, and solve for another n. Keep going until the number for n you put into the left-hand side and the number you get out for n on the right-hand side are the same. Then, you have solved the equation! It might take between 5 and 15 iterations. If it take any more than that, please see your instructor

Explanation / Answer

molecules at high pressures will increase their attraction forces , at lower temperaturess the molecules will have a low kinetic energy relative to the attraction forces, these attraction forces will deviate the behavior of the gas from ideality.

B) ideal gas law

PV = n R T

p is pressure

v is volume

n is moles

R is gas constant

T is temperature

rearrange the equation to get

moles = PV / RT = 200 * 2 / (0.082 * (200 + 273.15)) = 10.3 moles

C) The equation you have provided to iterate the number of moles provides akward results so the best thing to do is to apply vanderwwalss equation normally

on one side you will calculate the multiplication of the 2 "factors" on the left on the equation and on the right side you will get the result of the multiplication "n * R * T"

The left side of the equation must be eequal to the right side of the equation, you can start with any value you want and then increase or decrease the values carefully until you match the results, you should use a spreadsheet, the number of moles I got using this technique is

13.9768 moles

d) percent of error

(aproximate value - exact value) / exact value

(10.3-13.9768) / 13.9768 = -26.3

forget about the negative sign and multiply by 100 to get 26.3%

*if this answer is helpful dont forget to rate it =)

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