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A solid having density of 9 xx 10^(3) kg...

A solid having density of `9 xx 10^(3) kg m^(-3)` forms face centred cubic crystals of edge length `200 sqrt2` pm. What is the molar mass of the solid ? [Avogadro constant `~= 6 xx 10^(23) mol^(-1), pi ~= 3`]

A

0.0305 kg m `ol^(-1)`

B

0.0216 kg m`ol^(-1)`

C

0.4320 kg m `ol^(-1)`

D

0.0432 kg m `ol^(-1)`

Text Solution

Verified by Experts

`9 xx 10^(3) (kg)/(m^(3)) = (4 xx M)/(6 xx 10^(23) "mole"^(-1) )(2 sqrt(2))^(3) xx 10^(-30) m^(3)`
M = `(9 xx 6 xx 16 sqrt(2) xx 10^(-4))/(4) = 305.4 xx 10^(-4) = 0.03054 ` kg `mol^(-1)`
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