Q2.5 Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction of CO2 molecules at 400K that have speeds in the range 400-405 m/s. (10 points) (Hint: No integration necessary)
Q2.5 Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction of CO2 molecules at 400K...
Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction of N2 molecules at 392 K that have speeds in the range 200. – 210. m·s−1. Hint: The fraction of molecules with speeds in the range v to (v + dv) is equal to f(v)dv, Please show entire integration for boltzmann formula.
Use the Maxwell-Boltzmann distribution of speeds to show that <vx>=0.
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(1) Use the Maxwell distribution of speeds to estimate the fraction of N2 molecules at 500 K that have speeds in the range 295 to 305 m sl. (2) Calculate the mean free path of molecules in air using a collision cross sectional area of o= 0.43 nm² at 25°C and 1.0 atm
1.) In lecture, we developed the Maxwell-Boltzmann distribution given as: P(v)dv = 47 (2,16)"exp(-mv7/2kyn) v?dv Explicitly derive the following: a.) Show that this distribution is normalized. b.) For helium atoms at 500 K, use the error function in order to calculate the fraction of particles traveling in the range of 1500 m/s to 2000 m/s. c.) Produce an expression for <Vavy. (Note: Not the root square average as presented in lecture.) d.) Transform this distribution into a distribution in energy...
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1. Sketch the Fermi-Dirac distribution and appropriate forms of the Maxwell-Boltzmann approximation versu energy on a common set of axes. How far must the energy be above the Fermi level at 300K for the appropriate M-B approximation to result in an error of less than 3% in the occupation probability? How far below? Repeat for probability of being empty [1-P-").(Hint: m electron=9.1x 10.31 kg, q= 1.6 x 10-19 C)
f(v) dv f(v,)Av for small Av estimate the fraction of nitrogen molecules at a temperature of Using the approximation 2.75x 102 K that have speeds between 275 m/s and 277 m/s. Additional Materials еВook
Use Table 18.2 Fractions of Molecules in an Ideal Gas
with Speeds Less than Various Multiples of
v/vrms in the textbook. The molar mass
of N2 is 28.0 g/mol.
Part A
For a gas of nitrogen molecules N2, what must the temperature be
if 94.7% of all the molecules have speeds less than 1500 m/s?
T = ? K
Part B
For a gas of nitrogen molecules N2, what must the temperature be
if 94.7% of all the molecules have...
Solve 1st one asap
At a given temperature the rotational states of molecules are distributed according to the Boltzmann distribution. Of the hydrogen molecules in the ground state estimate the ratio of the number in the ground rotational state to the number in the first excited rotational state at 300 K. Take the interatomic distance as 1.06 Å. Estimate the wavelength of radiation emitted from adjacent vibration energy levels of NO molecule. Assume the force constant k-1,550 N m In...
USE MOMENT DISTRIBUTION METHOD TO SOLVE:
Q.4 For the frame shown in Fig. 4, (1) Analyse the frame assuming lbeam2l and lcoI (2)Plot the moment diagram and sketch the deformed shape. You must show in the diagram: (a) relevant values at the "strateaic" points: (b) magnitude(s) and location(s) of the local maximum or minimum moment(s); and (c) location of contraflexural point(s). (Hint: make use of the principle of superposition.) (Answer: MBA102.71 kNm) 12kN 1.2kN/m 1.2kN/m 30m 30m 10 20m 20...