Chemistry, asked by priscamary, 11 months ago


Lithium has a bcc structure. Its densit"
530 kg m-3 and its atomic mass is 6.94 gm
Calculate the edge length of a unit cell of Lith
metal (NA = 6.02 x 1023 mol-1)
(1) 264 pm (2) 154 pm
(3) 352 pm (4) 527 pm

Answers

Answered by ankurgoswami1976
4

Answer:

As we learnt in

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

Density of cubic unit cell

d=\frac{zM}{a^{3}N_{o}}

a=\left ( \frac{zM}{dN_{o}} \right )^{\frac{1}{3}}

=\left ( \frac{2\times 6.94}{0.530g\times 6.02\times 10^{23}} \right )^{\frac{1}{3}}

=3.52\times 10^{-10}\: m

=352\: pm

Option 1)

154 pm

Option is incorrect

Option is incorrectOption 2)

352 pm

Option is correct

Option 3)

527 pm

Option is incorrect

Option 4)

264 pm

Option is incorrect

I hope it will help u

Answered by ramprakash24
2

Answer:

Explanation:

As we learnt in  

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

 

Density of cubic unit cell

d=\frac{zM}{a^{3}N_{o}}

a=\left ( \frac{zM}{dN_{o}} \right )^{\frac{1}{3}}

=\left ( \frac{2\times 6.94}{0.530g\times 6.02\times 10^{23}} \right )^{\frac{1}{3}}

=3.52\times 10^{-10}\: m

=352\: pm

Option 1)

154 pm

Option is incorrect

Option 2)

352 pm

Option is correct

Option 3)

527 pm

Option is incorrect

Option 4)

264 pm

Option is incorrect

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