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At room temperature, polonium crystallis...

At room temperature, polonium crystallises in a primitive cubic unit cell . If a = 3.36, calculate the theoretical density of polonium . Its atomic weight is 209 g `mol^(-1)`

A

`9.15gcm^(-3)`

B

`10.33gcm^(-3)`

C

`62.22gcm^(-3)`

D

`9.47gcm^(-3)`

Text Solution

Verified by Experts

Given , number of atoms per unit cell, Z=1
Molecular weight, `M=209 gmol^(-1)`
Avogardo number , `N_A = 6.022xx10^23`
`V=a^3=(3.36xx10^(-8))^3 cm^3 " "[therefore Z=1]`
We know that, `d=(ZM)/(N_AV) = (1xx209)/(6.022xx10^23(3.36xx10^(-8))^3)=9.15gcm^(-3)`
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