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An ionic compound MX has rock-salt struc...

An ionic compound MX has rock-salt structure. If `r_(c)=120` pm and `r_(a)=180` pm, then the number of molecules of MX in a cube of edge length of 1 cm is about

A

`1.85xx10^(20)` molecules

B

`1.85xx10^(21)` molecules

C

`1.85xx10^(22)` molecules

D

`1.85xx10^(23)` molecules

Text Solution

Verified by Experts

The correct Answer is:
C
The edge length of unit cell is a = `2(r_(a)+r_(c))=2(180+120)"pm"=600"pm"=600xx10^(-10)cm`
The volume of unit cell is `V=(600xx10^(-10)cm)^(3)=2.16xx10^(-22)cm^(3)`
The number of molecules in V = `1cm^(3)` is N = `(("4 molecules")/(2.16xx10^(-22)cm^(3)))(1cm)^(3)=1.85xx10^(22)` molecules
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