The sublimation temperature of a substance is −83°C. It exists as cubic close packed structure with

Question

The sublimation temperature of a substance is −83°C. It exists as cubic close packed structure with unit cell edge length of 5.0 Å and density $\frac{8}{3}$g/cm3 at −100°C. What should be the density of substance at 0°C and 1 atm? (NA = 6 × 1023)

Accepted Answer

$d = \frac{Z.M}{N_{A}.V} \Rightarrow \frac{8}{3} = \frac{4 \times M}{\left( 6 \times 10^{23} \right) \times \left( 5 \times 10^{- 8} \right)^{3}}$

⇒ M = 50 gm/mol

At 0°C, the substance will exist as gas and its density $= \frac{50\text{ gm}}{22.4\text{ L}} = 2.23\text{ g/L}$

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