Chemistry Exam > Chemistry Questions > A metal crystalizes in fcc structure with uni...
Start Learning for Free
A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to?
A. 23
B. 24
C. 25
D. 26?
A. 23
B. 24
C. 25
D. 26?
Most Upvoted Answer
A metal crystalizes in fcc structure with unit cell side of 500pm. if ...
Answer:
Given:
Unit cell side (a) = 500 pm = 500 x 10^-12 m
Density (ρ) = 1.33 g/cc = 1.33 x 10^3 kg/m^3
Formula:
Density (ρ) = (Z x M) / (a^3 x N_A)
Where,
Z = Number of atoms per unit cell
M = Molar mass of the metal
a = Unit cell side
N_A = Avogadro's number (6.022 x 10^23)
Calculation:
Since the given metal crystalizes in fcc structure,
Number of atoms per unit cell (Z) = 4
Volume of unit cell (V) = a^3
Atomic radius (r) = (sqrt(2) / 2) x a
Molar volume (V_m) = (Z x V) / N_A = (4 x a^3) / (6.022 x 10^23) = 4.16 x 10^-29 m^3
Molar mass (M) = Density (ρ) x Molar volume (V_m) = 1.33 x 10^3 kg/m^3 x 4.16 x 10^-29 m^3 = 5.53 x 10^-26 kg
Converting kg to g and calculating the molar mass,
Molar mass (M) = 5.53 x 10^-26 kg x 1000 g/kg / (6.022 x 10^23) = 9.2 g/mol
Answer:
The molar mass of the metal is closed to 9.2 g/mol.
Given:
Unit cell side (a) = 500 pm = 500 x 10^-12 m
Density (ρ) = 1.33 g/cc = 1.33 x 10^3 kg/m^3
Formula:
Density (ρ) = (Z x M) / (a^3 x N_A)
Where,
Z = Number of atoms per unit cell
M = Molar mass of the metal
a = Unit cell side
N_A = Avogadro's number (6.022 x 10^23)
Calculation:
Since the given metal crystalizes in fcc structure,
Number of atoms per unit cell (Z) = 4
Volume of unit cell (V) = a^3
Atomic radius (r) = (sqrt(2) / 2) x a
Molar volume (V_m) = (Z x V) / N_A = (4 x a^3) / (6.022 x 10^23) = 4.16 x 10^-29 m^3
Molar mass (M) = Density (ρ) x Molar volume (V_m) = 1.33 x 10^3 kg/m^3 x 4.16 x 10^-29 m^3 = 5.53 x 10^-26 kg
Converting kg to g and calculating the molar mass,
Molar mass (M) = 5.53 x 10^-26 kg x 1000 g/kg / (6.022 x 10^23) = 9.2 g/mol
Answer:
The molar mass of the metal is closed to 9.2 g/mol.
Community Answer
A metal crystalizes in fcc structure with unit cell side of 500pm. if ...
25
|
Explore Courses for Chemistry exam
|
|
Similar Chemistry Doubts
A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26?
Question Description
A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26?.
A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26?.
Solutions for A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? in English & in Hindi are available as part of our courses for Chemistry.
Download more important topics, notes, lectures and mock test series for Chemistry Exam by signing up for free.
Here you can find the meaning of A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? defined & explained in the simplest way possible. Besides giving the explanation of
A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26?, a detailed solution for A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? has been provided alongside types of A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? theory, EduRev gives you an
ample number of questions to practice A metal crystalizes in fcc structure with unit cell side of 500pm. if the density of crystal is 1.33g/cc, the molar mass of the metal is closed to? A. 23B. 24C. 25D. 26? tests, examples and also practice Chemistry tests.
|
|
Explore Courses for Chemistry exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup