Ask Question, Ask an Expert


Ask Physics Expert

problem 1: Partial derivatives. The heat capacity at constant volume, CV ≡ (∂U/∂T)V, was not the same as heat capacity at constant pressure, CP ≡ (∂U/∂T)P .

As an illustration of why it matters which variable is held fixed when taking a derivative of a multi-variable function, let’s consider the following abstract ex. Define a = 2bc3 and b = c/f. Compute the partial derivatives:

(∂a/∂b)c and (∂a/∂b)f

and show that they are not equal. By what factor do they differ? Hint: To compute (∂a/∂b)f, use a formula for a in terms of b and f but not c.

problem 2: Adiabats and Isotherms. An ideal gas with 5 quadratic degrees of freedom is expanded to three times its initial volume: Vf = 3Vi. Assume that there are N atoms, starting at Ti, with Pi. Answer the following problems with two different assumptions: (I) adiabatic compression and (II) isothermal compression: (Answers for a-e should be given in terms of Pi, Ti, N, and kB.)

(a) What is the final pressure Pf in terms of Pi?
(b) What is the final temperature Tf in terms of Ti?
(c) How much work was done?
(d) How much heat was added to the system? (give a negative quantity if heat lost)
(e) How much total energy was added to the system?
(f) find out, in Joules, the amount of work done (as you found in (c) above) if the number of molecules is 100NA, the initial temperature is 25C, and the initial pressure is atmospheric pressure.

problem 3: Probability. Let’s look at the probability distributions for the sum of what you get by rolling 5-sided dice. Plot the probability distribution of the outcome of 1 die, the sum of 2 dice, and the sum of 3 dice. (Make 3 separate plots.) You can check your answer by verifying that the sum of your probability distribution is 100%. What is the general trend in shape as the number of dice increases?

Physics, Academics

  • Category:- Physics
  • Reference No.:- M91281

Have any Question? 

Related Questions in Physics

A if x3 y3 - xy2 5 find dydxb using your answer to part a

(a) If x 3 + y 3 - xy 2 = 5, find dy/dx. (b) Using your answer to part (a), make a table of approximate y-values of points on the curve near x = 1, y = 2. Include x = 0.96, 0.98, 1, 1.02, 1.04. (c) Find the y-value for x ...

White light is shone on a very thin layer of glass n 15 and

White light is shone on a very thin layer of glass (n= 1.5), and above the glass layer, interference maxima for two wavelengths (and no other in between) are seen: one green wavelength of 550 nm, and one orange wavelengt ...

A driver in a car originally moving at 129 ms applies the

A driver in a car, originally moving at 12.9 m/s, applies the brakes until the car comes to a stop. The car moves a distance of 34.8 m while braking. How much time did it take for the car to stop? Assume constant acceler ...

The unit 9 assignment challenges you to apply the three

The Unit 9 Assignment challenges you to apply the three major theoretical perspectives of sociology to analyze the effects of population changes on the environment. For this Assignment, you will write a 3 to 5 page essay ...

A rigid sample cell with constant total volume is divided

A rigid sample cell (with constant total volume) is divided by a Flexible, semipermeable membrane into two initial volumes, Vi 1 and Vi 2 . Both volumes are filled with solvent A, which flows freely across the membrane. ...

The coefficient of kinetic friction between the block and

The coefficient of kinetic friction between the block and the ramp is 0.20. If the distance for the to reach the top of the ramp or the bottom of the ramp are both 10 m, how long will it reach the top or bottom of the ra ...

Your mass is 50 kg suppose you are standing on a scale in

Your mass is 50 kg. Suppose you are standing on a scale in an elevator that starts moving up and increases its speed at the rate of 3 m/s every second. What would be the reading on the scale?

Why is it important to study global demographywhat are the

Why is it important to study global demography? What are the forces behind population change? Malthusian Theory: A flawed prediction, or a premonition of times to come? 300 words min. NO PLAGIARISM PLEASE.

A monochromatic light is incident on a single slit of width

A monochromatic light is incident on a single slit of width 0.800 mm, and a diffraction pattern is formed at a screen that is 0.800 m away from the slit. The second-order bright fringe is at a distance 1.60 mm from the c ...

Question 1a in no more than 200 words briefly explain both

Question 1 (a) In no more than 200 words, briefly explain both the similarities and differences between Newton's law of universal gravitation and Coulomb's law. (b) Consider two point-like objects, A and B, the first of ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro