Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

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

The distance s a car has traveled on a trip is shown in the

The distance, s, a car has traveled on a trip is shown in the table as a function of the time, t, since the trip started. Find the average velocity between t = 2 and t = 5.

The yield y of an apple orchard in bushels as a function

The yield, Y , of an apple orchard (in bushels) as a function of the amount, a, of fertilizer (in pounds) used on the orchard is shown in Figure 1.100. (a) Describe the effect of the amount of fertilizer on the yield of ...

1 water in a container is originally at 100 kpa the water

1. Water in a container is originally at 100 kPa. The water is subjected to a pressure of 120 MPa. Determine the percentage decrease in its volume. 2. Determine the height to which water at 68°C will rise in a clean capi ...

Consider the source as a b c d e ps 13 13 19 19 19 and

Consider the source AS = {a, b, c, d, e}, PS = {1/3, 1/3, 1/9, 1/9, 1/9} and the channel whose transition probability matrix is Note that the source alphabet has five symbols, but the channel alphabet A X = A Y = {0, 1, ...

A rock of 350 kg is found at the top of a mountain that is

A rock of 350 kg is found at the top of a mountain that is 1250-m high. Find the potential energy with respect to the bottom of the mountain (g = 9.8 m/s2)

Tungsten is deposited into a small cylindrical cavity 20 m

Tungsten is deposited into a small, cylindrical cavity (2.0 ?m depth, 0.5 um diameter) by the following chemical vapor deposition reaction: WF 6 (g) + 3H 2 (g) + W(s) + 6HF(g) As the tungsten metal forms, it slowly fills ...

The blackbody radiation emitted from a furnace peaks at a

The blackbody radiation emitted from a furnace peaks at a wavelength of 2.7 10-6 m(0.0000027 m). What is the temperature inside the furnace?

In a 500km race one runner runs at a steady 110kmh and

In a 5.00km race, one runner runs at a steady 11.0km/h and another runs at 14.1km/h. How long does the faster runner have to wait at the finish line to see the slower runner cross?

An 2655 kg van runs into the back of an 848 kg compact car

A(n) 2655 kg van runs into the back of a(n) 848 kg compact car at rest. They move off together at 8.8 m/s. Assuming no friction with the ground, find the initial speed of the van.

Explain why the first tropical storm of the atlantic

Explain why the first tropical storm of the Atlantic hurricane season is more likely to form in the Gulf of Mexico than off the west coast of Africa.

  • 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

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

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen