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Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?
Correct answer is '5.63'. Can you explain this answer?
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Calculate the lattice constant for a rock salt crystal (density equal ...
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Calculate the lattice constant for a rock salt crystal (density equal ...
The lattice constant, also known as the lattice parameter, is the distance between unit cells in a crystal lattice. For a rock salt crystal with a face-centered cubic (fcc) lattice, the lattice constant can be calculated using the formula:
a = 2 * (V / N)^(1/3)
where:
a is the lattice constant
V is the volume of the unit cell
N is the number of atoms in the unit cell
In a rock salt crystal, there are two atoms per unit cell (one sodium atom and one chloride atom). The volume of the unit cell can be calculated using the formula:
V = (molar mass / density) * (1 / Avogadro's number)
The molar mass of sodium chloride (NaCl) is 58.44 g/mol, and Avogadro's number is approximately 6.022 x 10^23 atoms/mol.
Let's calculate the lattice constant step by step:
1. Calculate the volume of the unit cell:
V = (58.44 g/mol / 2.18 g/cm³) * (1 cm³ / 6.022 x 10^23 atoms/mol)
= 13.446 x 10^-24 cm³
2. Calculate the lattice constant:
a = 2 * (13.446 x 10^-24 cm³ / 2)^(1/3)
= 5.640 x 10^-8 cm
Therefore, the lattice constant for a rock salt crystal with an fcc lattice is approximately 5.640 x 10^-8 cm.
a = 2 * (V / N)^(1/3)
where:
a is the lattice constant
V is the volume of the unit cell
N is the number of atoms in the unit cell
In a rock salt crystal, there are two atoms per unit cell (one sodium atom and one chloride atom). The volume of the unit cell can be calculated using the formula:
V = (molar mass / density) * (1 / Avogadro's number)
The molar mass of sodium chloride (NaCl) is 58.44 g/mol, and Avogadro's number is approximately 6.022 x 10^23 atoms/mol.
Let's calculate the lattice constant step by step:
1. Calculate the volume of the unit cell:
V = (58.44 g/mol / 2.18 g/cm³) * (1 cm³ / 6.022 x 10^23 atoms/mol)
= 13.446 x 10^-24 cm³
2. Calculate the lattice constant:
a = 2 * (13.446 x 10^-24 cm³ / 2)^(1/3)
= 5.640 x 10^-8 cm
Therefore, the lattice constant for a rock salt crystal with an fcc lattice is approximately 5.640 x 10^-8 cm.
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Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer?
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Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer?.
Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the lattice constant for a rock salt crystal (density equal to 2.18 gm/cm3). Given that the crystal has fcc lattice & molecular weight of 58.5 gm (in A0)?Correct answer is '5.63'. Can you explain this answer?.
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