Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Give answer! An element has a body centred cubic structure with a edge length of 444 pm. The density of the element is 7.2 gm/cm3 . How many atoms are present in 404 gm of element ?

An element has a body centred cubic structure with a edge length of 444 pm. The density of the element is 7.2 gm/cm3 . How many atoms are present in 404 gm of element ?

  • Option 1)

    3.12 \times 1024

  • Option 2)

    9.24 \times 1024

  • Option 3)

    12.82 \times 1023

  • Option 4)

    6.41 \times 1023

 

Answers (1)

Volume of the unit cell =\left ( 444\times 10^{-10} \right )^{3}

                                   =8.75\times 10^{-23}Cm^{3}

Density=\frac{Mass}{Volume}

=\frac{Z\times Mass\; of\; one\; atom}{volume\; of\; unit\; cell}

7.2=\frac{2\times 404}{8.75\times 10^{-23}\times N}

N=\frac{808}{7.2\times 8.75\times 10^{-23}}=12.82\times 10^{23}

 

Density of cubic unit cell -

d = \frac{zM}{a^3N_o}

 

- wherein

Where,

d = density of crystal

z = no. of effective constituent particles in one unit cell

M = molecular weight

a = edge length of unit cell

No = 6.022*1023

 

 


Option 1)

3.12 \times 1024

This is incorrect

Option 2)

9.24 \times 1024

This is incorrect

Option 3)

12.82 \times 1023

This is correct

Option 4)

6.41 \times 1023

This is incorrect

Posted by

subam

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question