QJEEM03Chd254: JEE Main 2003 Chemistry - Class 12 JEEM03Chd254 Solution: How many unit cells are present in a cubeshaped ideal crystal…

Question

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How many unit cells are present in a cubeshaped ideal crystal of NaCl of mass 1.00 g? [Atomic masses: Na = 23, Cl = 35.5]

Accepted Answer

Since in

N a C l

type of structure

4

formula units form a cell. Number of formulas in cube shaped crystals

= \frac{1.0}{58.5} \times 6.02 \times 10^{23}

No. of unit cells present in a cubic crystal

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

∴

units cells

= \frac{1.0 \times 6.02 \times 10^{23}}{58.5 \times 4}

= 2.57 \times 10^{21}

unit cels.

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