Explain b in terms of the mass m of each atom

Reference no: EM13184360

The following questions pertain to the magnitude of the x-component of the speed(absolute value of the velocity) cx=|vx| of atoms in a gas, whose probability distriubution has the form P(cx)= ae^-bc2/x.

A. Write down the integral you would need to evaluate in order to calculate the avg value of c^2/x.

B. Evaluate the above integral in terms of the constants a and b.

C. Express b in terms of the mass m of each atom and the temperature T of the gas( and other constants), given that the Boltsmann factor in P(cx) pertains to the x- component of the kinetic energy of each atom in the gas.

D. How should the value of a differ from that in Eq - P(vx)dvx= sq root. m/2pikbT e^-mv2/x/2kbT dvx given that speed cx includes both the corresponding positive and negative velocities, and so the probability of observing a speed cx is twice that of observing the corresponding velocity vx?

E. Use the above results to express the avg value of c2/x in terms of m and kbT, and then show that the avg kinetic energy in the x-direction <ex>=1/2m<c2/x> has the expected value.

Reference no: EM13184360

Questions Cloud

State protein stock solution : How would you prepare 1.0 ml of a 0.6 mg/ml protein sample from a 1.0 mg/ml protein stock solution in a given phosphate buffer? b) 1 ml of water and 1.0 ml of a solution "x" mixed together is a 1:2 dilution of "x" in water.

State the volume of the aluminum cylinder : it was necessary to measure the volume of the sample. The diameter of the cylinder was 23.0 mm and the length of the cylinder was 38.9 mm. What was the volume of the aluminum cylinder in cm3?

Scrollable tax calculator in java code : Create an application that allows you to enter the amount of a purchase and then displays the amount of sales tax on that purchase. Use a slider to adjust the tax rate between 0 percent and 10 percent.

Explain the advantages and disadvantages of small businesses : Your boss has asked you to assist him after normal work hours with shredding some documents. The division vice president announced a federal level investigation in last week's "All-call; All-attend" staff meeting. You need your job and you want to..

Explain b in terms of the mass m of each atom : Express b in terms of the mass m of each atom and the temperature T of the gas( and other constants), given that the Boltsmann factor in P(cx) pertains to the x- component of the kinetic energy of each atom in the gas.

In virtually all forms of insight therapy : In virtually all forms of insight therapy that produce positive outcomes,

What is the timing of the substantive procedures : Control risk has been assessed as high and detection risk is low. What is the timing of the substantive procedures likely to be and the auditor has decided that they will use a larger sample for confirmations at year end. What is the level of detecti..

Define and verify the first equality in r : Verify the first equality in R (beta(delta e)^2e^Beta(delta e)/[e^Beta(delta e)-1]^2 using the chain rule, and then verify the second equality in the same bolded equation by evaluating the derivative with respect to Beta

Calculate the profits of these firms in different cases : Suppose there are four oil producers in the crude oil market, A, B , C and D. The marginal cost of A is $10. The marginal cost of B is $12. The marginal cost of C is 13. The marginal cost of D is $15. Note that in all three cas..

User Account

All Pages