Based on the diagram shown in the attached file
R = Radius of the sphere
a = Lattice constant
Using pythagoras theorem for the right angled triangle in figure 2
(4R)^2 = a^2 + a^2
16(R^2) = 2(a)^2
Solving the above equation
a=2R√2
To prove that the Atomic Packing factor is 0.74
Let the volume of atom in a unit cell be Vs
Total unit cell volume, Vc
Vc = a^3
Vc =(2R√2)^3
Vc=16R^3 √2 =22.63R^3
Since there are 4 atoms in the FCC unit cell
Vs=4*(4/3 πR^3)
Vs=5.33 πR^3
APF=(5.33 πR^3)/(22.63R^3 )
APF=0.74
F = 13 N
<h3>Further explanation</h3>
Given
Acceleration= a = 2.6 m/s²
Required
Force
Solution
Newton's second law :
ΣF = m x a
The wheeled cart used in the experiment is the same, so the mass used is the same
We use one of the data for example data 1 to find mass :
F = 1 N, a = 0.2 m/s²
m = F/a
m = 1/0.2
m = 5 kg
so for acceleration= a = 2.6 m/s² :
F = 5 kg x 2.6 m/s²
F = 13 N
Answer: By shifting the equilibrium to align with the interest of the company.
Explanation: Major production companies depend on the principle of chemical equilibrium to normalize their production depending on their interests. This principle is called Le Chatelier's principle.
The major concern of Chemical industries is their output and production time. Knowledge of Chemical equilibrium can help to maximize the output in a relatively less time by considering some factors.
Factors such as Temperature, Pressure, Concentration, and Catalyst presence can change the chemical equilibrium to benefit companies.
Answer:
The first step in the free radical mechanism for the preparation of polyethylene is:
b. heating an organic peroxide to break the O-O bond
Explanation:
The preparation of ethylene occur by free radical mechanism , which occurs in three steps :
1. Chain Initiation
2. Chain propagation
3. Chain termination.
The first step i.e chain initiation require a radical. The compound are generally peroxide(O-O linkage) that produce radical is :
Benzoyl Peroxide
This compound when heated (with U.V radiation) produce two species of radicals .
(see the attached image)
These RADICALS are highly unstable and very reactive in nature.
They readily react with ethene and initiate the polymerisation.
Thus,
The first step in the free radical mechanism for the preparation of polyethylene is:
b. heating an organic peroxide to break the O-O bond
<u><em>The sequence of Polymerisations are:</em></u>
b. heating an organic peroxide to break the O-O bond
d. propagation of the free radicals
To determine the absolute pressure of this gas, all you need to do is to add the value of atmospheric pressure and the value of gage pressure.
Atmospheric pressure is equivalent to 100 kPa.
Gage pressure is 276 kPa.
Then, we add both values.
N = 100 kPa + 276 kPa
N = 376 kPa
The absolute pressure of this gas is 376 kPa.
Hope this helps :)
