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Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)
- a)(111)
- b)(112)
- c)(121)
- d)(110)
Correct answer is option 'A'. Can you explain this answer?
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Cu metal crystallizes with fcc structure. The density of crysta...
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Cu metal crystallizes with fcc structure. The density of crysta...
Angle is measured to be 36.5 degrees.
We can use Bragg's Law to calculate the spacing between the crystal lattice planes:
nλ = 2d sinθ
where n is the order of diffraction (usually 1), λ is the wavelength of the x-ray, d is the spacing between the lattice planes, and θ is the Bragg angle.
Rearranging the equation to solve for d:
d = nλ / 2sinθ
Plugging in the given values:
d = (1)(1.537 nm) / 2sin(36.5 degrees)
d = 0.209 nm
Next, we can use the density and mass of the crystal to calculate the number of atoms in the unit cell:
density = mass / volume
volume = mass / density
The atomic mass of Cu is 63.55 g/mol, so the mass of one Cu atom is:
(26.98 kg / 6.022 x 10^23 atoms/mol) = 4.49 x 10^-23 kg/atom
The volume of the unit cell is:
volume = mass / density = 26.98 kg / 2698 kg/m3 = 0.01 m3
Since the fcc unit cell contains 4 atoms, the volume of one unit cell is one-fourth the volume of the atoms it contains:
volume of one atom = volume of unit cell / 4 = 0.01 m3 / 4 = 0.0025 m3
The length of one side of the unit cell can be calculated using the formula for the volume of a cube:
volume of one atom = length^3
length = (volume of one atom)^(1/3) = (0.0025 m3)^(1/3) = 0.0625 m
Finally, we can use the length of one side of the unit cell to calculate the number of atoms in the unit cell:
number of atoms in unit cell = (length of one side)^3 / volume of one atom
number of atoms in unit cell = (0.0625 m)^3 / 0.0025 m3
number of atoms in unit cell = 4
So there are 4 Cu atoms in the fcc unit cell.
We can use Bragg's Law to calculate the spacing between the crystal lattice planes:
nλ = 2d sinθ
where n is the order of diffraction (usually 1), λ is the wavelength of the x-ray, d is the spacing between the lattice planes, and θ is the Bragg angle.
Rearranging the equation to solve for d:
d = nλ / 2sinθ
Plugging in the given values:
d = (1)(1.537 nm) / 2sin(36.5 degrees)
d = 0.209 nm
Next, we can use the density and mass of the crystal to calculate the number of atoms in the unit cell:
density = mass / volume
volume = mass / density
The atomic mass of Cu is 63.55 g/mol, so the mass of one Cu atom is:
(26.98 kg / 6.022 x 10^23 atoms/mol) = 4.49 x 10^-23 kg/atom
The volume of the unit cell is:
volume = mass / density = 26.98 kg / 2698 kg/m3 = 0.01 m3
Since the fcc unit cell contains 4 atoms, the volume of one unit cell is one-fourth the volume of the atoms it contains:
volume of one atom = volume of unit cell / 4 = 0.01 m3 / 4 = 0.0025 m3
The length of one side of the unit cell can be calculated using the formula for the volume of a cube:
volume of one atom = length^3
length = (volume of one atom)^(1/3) = (0.0025 m3)^(1/3) = 0.0625 m
Finally, we can use the length of one side of the unit cell to calculate the number of atoms in the unit cell:
number of atoms in unit cell = (length of one side)^3 / volume of one atom
number of atoms in unit cell = (0.0625 m)^3 / 0.0025 m3
number of atoms in unit cell = 4
So there are 4 Cu atoms in the fcc unit cell.
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Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer?
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Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer?.
Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Cu metal crystallizes with fcc structure. The density of crystal is 2698 kg/m3 and mass is 26.98 Kg. X-ray of wavelength 1.537 nm are diffracted by the crystal and the Bragg’s angle is 19.20. Identify the crystal plane which caused this diffraction. (NA = 6.023 × 1023)a)(111)b)(112)c)(121)d)(110)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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