Answer:
a. 2.9218x10^(-29) m^3
b. 7.1230x10^(28) atoms/m^3
c. 2.0812 BM/atom
Explanation:
Atomic radius r = 0.154 nm
saturation flux density Bs = 0.83 tesla
- the formula for the volume of the simple cubic crystal (Vc) = a^3 = (2r)^3
= (2 x 0.154x10^-9)^3
= 2.9218x10^-29 m^3
- The formula for the Bohr magneton per atom with respect to VC, Bs, permeability of the vacuum Uo and magnetic moment per Bohr magneton Ub is;
Bohr magneton per atom nb = (Bs x VC) / (Ub x Uo)
= (0.83 x 2.9218x10^-29) / (9.27x10^-24) x(1.257x10^-6)
= 2.4251x10^-29 / 1.1652x10^-29
= 2.0812 BM/atom
- Number of atoms per Vc, N = nb / Vc
= 2.0812 / 2.9218x10^-29 = 7.1230x10^28 atoms
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Answer:
the minimum power input required for this air-conditioning system is 1.20 hp
Explanation:
Given the data in the question;
Temperature inside ( Sink ) T = 70°F = ( 70 + 460 )R = 530 R
temperature outside ( source )T = 100°F = ( 100 + 460 )R = 560 R
= 800 Btu/min
= 100 Btu/min
Now, from the equation of coefficient of performance of refrigerator;
= Desired output / Required input
= / --------- let this be equation 1
= ( ) /
where is the rate heat gained through the wall
is the heat generation from people and lights and appliances.
Now, lets consider the equation coefficient of performance of refrigerator in terms of temperatures;
= / ( - )
we substitute
= 530 / ( 560 - 530 )
= 530 / 30
= 17.667
so we substitute into equation 1;
= / ---------
= ( ) /
17.667 = ( 100 + 800 ) /
17.667 = 900 /
= 900 / 17.667
= 50.94 Btu/min
= ( 50.94 / 42.53 ) hp
= 1.198 hp ≈ 1.20 hp
Therefore, the minimum power input required for this air-conditioning system is 1.20 hp