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)
Answer:
q1q1 ⇒ 01
Explanation:
The outputs of a positive edge triggered register will match the inputs after a rising clock edge.
q1q1 ⇒ 01 . . . . matching d1d0 = 01
The relationship between resistance and the area of the cross section of a wire is inversely proportional . When resistance is increased in a circuit , for example by adding more electrical components , the current decreases as a result.
Answer:
15,000 psi
Explanation:
The solution / solving is attach below.