QJEEM19Ch4ab1: JEE Main 2019 Chemistry - Class 12 JEEM19Ch4ab1 Solution: A solid having density of 9 × 10 3 kg m –3 forms face centred…

Question

Verified Solution • 2025–26 Session moderate

A solid having density of 9

\times

10³ kg m^–3 forms face centred cubic crystals of edge length

200 \sqrt{2}

pm. What is the molar mass of the solid?
[Avogadro constant

≅

6

\times

10²³ mol^–1 ,

π

≅

3]

Accepted Answer

ρ

=

\frac{Z \times M}{a^{3} \times N_{A}}

\Rightarrow

9

\times

10³ =

\frac{4 \times M}{(200 \sqrt{2} \times 10^{- 12}) \times 6 \times 10^{23}}

\Rightarrow

M = 0.0305 kg mol^–1

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