Answer:
a. 9947 m
b. 99476 times
c. 2*10^11 molecules
Explanation:
a) To find the mean free path of the air molecules you use the following formula:
![\lambda=\frac{RT}{\sqrt{2}\pi d^2N_AP}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7BRT%7D%7B%5Csqrt%7B2%7D%5Cpi%20d%5E2N_AP%7D)
R: ideal gas constant = 8.3144 Pam^3/mol K
P: pressure = 1.5*10^{-6} Pa
T: temperature = 300K
N_A: Avogadros' constant = 2.022*10^{23}molecules/mol
d: diameter of the particle = 0.25nm=0.25*10^-9m
By replacing all these values you obtain:
![\lambda=\frac{(8.3144 Pa m^3/mol K)(300K)}{\sqrt{2}\pi (0.25*10^{-9}m)^2(6.02*10^{23})(1.5*10^{-6}Pa)}=9947.62m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B%288.3144%20Pa%20m%5E3%2Fmol%20K%29%28300K%29%7D%7B%5Csqrt%7B2%7D%5Cpi%20%280.25%2A10%5E%7B-9%7Dm%29%5E2%286.02%2A10%5E%7B23%7D%29%281.5%2A10%5E%7B-6%7DPa%29%7D%3D9947.62m)
b) If we assume that the molecule, at the average, is at the center of the chamber, the times the molecule will collide is:
![n_{collision}=\frac{9947.62m}{0.05m}\approx198952\ times](https://tex.z-dn.net/?f=n_%7Bcollision%7D%3D%5Cfrac%7B9947.62m%7D%7B0.05m%7D%5Capprox198952%5C%20%20times)
c) By using the equation of the ideal gases you obtain:
![PV=NRT\\\\N=\frac{PV}{RT}=\frac{(1.5*10^{-6}Pa)(\frac{4}{3}\pi(0.05m)^3)}{(8.3144Pa\ m^3/mol\ K)(300K)}=3.14*10^{-13}mol\\\\n=(3.14*10^{-13})(6.02*10^{23})\ molecules\approx2*10^{11}\ molecules](https://tex.z-dn.net/?f=PV%3DNRT%5C%5C%5C%5CN%3D%5Cfrac%7BPV%7D%7BRT%7D%3D%5Cfrac%7B%281.5%2A10%5E%7B-6%7DPa%29%28%5Cfrac%7B4%7D%7B3%7D%5Cpi%280.05m%29%5E3%29%7D%7B%288.3144Pa%5C%20m%5E3%2Fmol%5C%20K%29%28300K%29%7D%3D3.14%2A10%5E%7B-13%7Dmol%5C%5C%5C%5Cn%3D%283.14%2A10%5E%7B-13%7D%29%286.02%2A10%5E%7B23%7D%29%5C%20molecules%5Capprox2%2A10%5E%7B11%7D%5C%20molecules)
The reason why giant stars become planetary nebulas is Supergiant stars do not have enough mass to generate the gravity necessary to cause a planetary nebula.
<h3>Why do giant stars become planetary nebulae?</h3>
A planetary nebula is known to be formed or created by a dying star. A red giant is known to be unstable and thus emit pulses of gas that is said to form a sphere around the dying star and thus they are said to be ionized by the ultraviolet radiation that the star is known to releases.
Learn more about giant stars from
brainly.com/question/27111741
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Answer:
200
Explanation:
A size sheets (also known as letter size) are 8.5 inches by 11 inches.
B size sheets (also known as ledger size) are 11 inches by 17 inches.
One B size sheet is twice as large as a A size sheet. So if you have 100 B size sheets and cut each one in half, you'll get 200 A size sheets.
Answer:
Explanation:
The detailed steps and appropriate calculation with analysis is as shown in the attachment.
Answer:
(1). False, (2). True, (3). False, (4). False, (5). True.
Explanation:
The term ''contouring'' in this question does not have to do with makeup but it has to deal with the measurement of all surfaces in planes. It is a measurement in which the rough and the contours are being measured. So, let us check each questions again.
(1). In contouring, it is necessary to measure position and not velocity for feedback.
ANSWER : b =>False. IT IS NECESSARY TO MEASURE BOTH FOR FEEDBACK.
(2). In contouring during 2-axis NC machining, the two axes are moved at the same speed to achieve the desired contour.
ANSWER: a=> True.
(3). Job shop is another term for process layout.
ANSWER: b => False
JOB SHOP IS A FLEXIBLE PROCESS THAT IS BEING USED during manufacturing process and are meant for job Production. PROCESS LAYOUT is used in increasing Efficiency.
(4). Airplanes are normally produced using group technology or cellular layout.
ANSWER: b => False.
(5). In manufacturing, value-creating time is greater than takt time.
ANSWER: a => True.