1. Tardigrade
  2. Question
  3. Chemistry
  4. A diatomic molecule X2 has a body-centred cubic (bcc) structure with a cell edge of 300 pm. The density of the molecule is 6.17 g cm -3. The number of molecules present in 200 g of X 2 is (Avogadro constant .( N A )=6 × 1023 mol -1)

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Q. A diatomic molecule $X_{2}$ has a body-centred cubic (bcc) structure with a cell edge of $300\, pm$. The density of the molecule is $6.17 \,g \,cm ^{-3}$. The number of molecules present in $200\, g$ of $X _{2}$ is (Avogadro constant $\left.\left( N _{ A }\right)=6 \times 10^{23} \,mol ^{-1}\right)$

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Solution:

$p =\frac{2 \times \frac{ M }{ N _{ A }}}{ a ^{3}}$

$ \Rightarrow 6.17=\frac{2 \times \frac{ M }{ N _{ A }}}{\left(3 \times 10^{-8} cm \right)^{3}}$

$\Rightarrow M \simeq 50 gm / mol$

No $=\frac{ w }{ M } \times N _{ A }=\frac{200}{50} \times N _{ A }=4 N _{ A }$