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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

MHT CET 2026 · 23 April · Evening Shift · Chemistry · Solid State

The density of iridium is 22.4 g cm^ -3 . The unit cell of iridium...

The density of iridium is 22.422.4 g cm^{-3}.TheunitcellofiridiumisfccCalculatethevolumeofunitcell.ifthemolarmassofiridiumis192.2. The unit cell of iridium is fcc Calculate the volume of unit cell. if the molar mass of iridium is 192.2 g/mol.

Options

  1. A5.7×10−235.7 \times 10^{-23} cm^3
  2. B2.8×10−232.8 \times 10^{-23} cm^3
  3. C3.1×10−233.1 \times 10^{-23} cm^3
  4. D4.6×10−234.6 \times 10^{-23} cm^3

Correct answer

A. 5.7×10−235.7 \times 10^{-23} cm^3

Step-by-step solution

For an fcc unit cell, the number of atoms per unit cell is Z=4Z = 4.

The density of the unit cell is given by the formula:

d=Z×MNA×Vd = \dfrac{Z \times M}{N_A \times V}

Rearranging the formula to solve for the volume VV of the unit cell:

V=Z×MNA×dV = \dfrac{Z \times M}{N_A \times d}

Substituting the given values:

V=4×192.26.022×1023×22.4V = \dfrac{4 \times 192.2}{6.022 \times 10^{23} \times 22.4}

V=768.8134.89×1023V = \dfrac{768.8}{134.89 \times 10^{23}}

V=5.7×10−23V = 5.7 \times 10^{-23} cm^3<br><br>Answer:<br><br>Answer:5.7 \times 10^{-23}cm3cm^3
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