When cubic equations of state give three real roots for Z , usually the smallest root is the liquid root and the largest is the vapor root. However, the Peng-Robinson equation can give real roots at high pressure that differ from this pattern. To study this behavior, tabulate all the roots found for the specified…

Within the two-phase envelope, one can draw another envelope representing the limits of supercooling of the vapor and superheating of liquid that can be observed in the laboratory; along each isotherm these are the points for which T = 0. Obtain this envelope for the Peng-Robinson equation, and plot it on the same figure as…

Suppose you had a program to simulate the motions of four molecules moving in 2D slowly enough that you could clearly see the velocities of all disks. (Hint: The Piston-Cylinder applet in the DMD module at Etomica.org is an example of such a program when kept in “adiabatic” mode.) (a) Let the disk interactions be…

FIN4001 Introduction to Finance Assignment Date for Submission: Please refer to the timetable on ilearn (The submission portal on ilearn will close at 14.00 UK time on the date of submission) Page 1 of 13 [1291] Assignment Brief As part of the formal assessment for the programme you are required to submit an Introduction to…

Microeconomics You are required to identify, discuss and analyse the core microeconomic contents and write a report covering all the relevant concepts discussed in class. You will only focus on microeconomic environment to address the issue. The length of your report is 2000 words. Your report should have sound academic references (minimum 6 references); your…

ECON 1030 – BUSINESS STATISTICS 1: Individual Assignment Instructions: This is an individual assignment with a total of 40 marks. The allocation of marks is as follows: Statistical Analysis (including excel) 30 Professional Report 10 Total 40 The response to the assignment must be provided in the form of a professional report with no more…

Using 1200-1400 words of detailed discussion, analyze how the aesthetics of Indiana Jones and the Last Crusade work to present a theme. What theme is offered with specific aesthetics? Use specific material from at least 2 of our 5 previous lecture topics (narrative, mise-en-scene, cinematography, editing and sound) to explore theme. For example: consider exactly…

Please choose a communication medium (e.g. the internet, Hollywood movies, Bollywood movies, radio, etc…) and discuss how it has been regulated and censored historically verses today. Please post your original paper by October 27th and respond to at least 2 classmates by October 29th.

Sphere and disk collisions can be expressed more compactly and computed more conveniently in vector notation. Primarily, this involves converting the procedures of Example 7.10 to use the dot product of the relative position and relative velocity. (Hint: You may find useful information in the DMD module at Etomica.org.) (a) Write a vector formula for…

Propane is available from a reservoir at 350 K and 1 MPa. An evacuated cylinder is attached to the reservoir manifold, and the cylinder is filled adiabatically until the pressure is 1 MPa. What is the final temperature in the cylinder? Ethane at 425 K and 100 bar initially is contained in a 1 m3 cylinder.…