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KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal?
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KBr crystallises in face-centered cubic(fcc) crystal. The density and ...
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KBr crystallises in face-centered cubic(fcc) crystal. The density and ...
Introduction:
KBr (Potassium Bromide) is a crystalline compound that forms a face-centered cubic (fcc) crystal lattice structure. In this structure, the potassium (K) ions and bromide (Br-) ions are arranged in a specific manner. The density and formula mass of KBr crystal provide valuable information to calculate the distance between K and Br- ions.
Given information:
- Density (ρ) = 2.65 g/cm³
- Formula mass (M) = 119 g/mol
Step 1: Calculate the number of KBr formula units in 1 cm³:
To find the number of formula units, we need to convert the density into units of g/cm³. Since the density is given as 2.65 g/cm³, we can assume that 1 cm³ of the crystal contains 2.65 grams of KBr.
So, the number of formula units (N) in 1 cm³ can be calculated using the formula:
N = ρ / M
Plugging in the given values:
N = 2.65 g/cm³ / 119 g/mol
Step 2: Calculate the edge length of the fcc unit cell:
In an fcc crystal lattice, there are 4 atoms per unit cell. The edge length (a) of the unit cell can be calculated using the formula:
a = (4 * M / ρ)^(1/3)
Plugging in the given values:
a = (4 * 119 g/mol / 2.65 g/cm³)^(1/3)
Step 3: Calculate the distance between K and Br- ions:
In an fcc crystal lattice, the K and Br- ions are arranged alternately along the edges of the unit cell. The distance between the K and Br- ions can be calculated using the formula:
distance = a / 2
Plugging in the value of a obtained from step 2:
distance = a / 2
Result:
The distance between K and Br- ions in the KBr crystal is obtained by following the above steps and calculations.
KBr (Potassium Bromide) is a crystalline compound that forms a face-centered cubic (fcc) crystal lattice structure. In this structure, the potassium (K) ions and bromide (Br-) ions are arranged in a specific manner. The density and formula mass of KBr crystal provide valuable information to calculate the distance between K and Br- ions.
Given information:
- Density (ρ) = 2.65 g/cm³
- Formula mass (M) = 119 g/mol
Step 1: Calculate the number of KBr formula units in 1 cm³:
To find the number of formula units, we need to convert the density into units of g/cm³. Since the density is given as 2.65 g/cm³, we can assume that 1 cm³ of the crystal contains 2.65 grams of KBr.
So, the number of formula units (N) in 1 cm³ can be calculated using the formula:
N = ρ / M
Plugging in the given values:
N = 2.65 g/cm³ / 119 g/mol
Step 2: Calculate the edge length of the fcc unit cell:
In an fcc crystal lattice, there are 4 atoms per unit cell. The edge length (a) of the unit cell can be calculated using the formula:
a = (4 * M / ρ)^(1/3)
Plugging in the given values:
a = (4 * 119 g/mol / 2.65 g/cm³)^(1/3)
Step 3: Calculate the distance between K and Br- ions:
In an fcc crystal lattice, the K and Br- ions are arranged alternately along the edges of the unit cell. The distance between the K and Br- ions can be calculated using the formula:
distance = a / 2
Plugging in the value of a obtained from step 2:
distance = a / 2
Result:
The distance between K and Br- ions in the KBr crystal is obtained by following the above steps and calculations.
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KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal?
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KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal?.
KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal?.
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KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal?, a detailed solution for KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? has been provided alongside types of KBr crystallises in face-centered cubic(fcc) crystal. The density and formula mass of KBr crystal are 2.65gm/cm³ and 119gm/mol respectively.Find the distance between K+ and Br- ions in KBr crystal? theory, EduRev gives you an
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