MHT CET Medical202623 April 2026Evening ShiftChemistrySolid StateActual
The density of iridium is 22.4 g cm ⁻³ . 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
- A5.7 10⁻²³ cm ^3
- B2.8 10⁻²³ cm ^3
- C3.1 10⁻²³ cm ^3
- D4.6 10⁻²³ cm ^3
Correct answer
A. 5.7 10⁻²³ cm ^3
Step-by-step solution
For an fcc unit cell, the number of atoms per unit cell is Z = 4 . The density of the unit cell is given by the formula: d = Z M N_A V Rearranging the formula to solve for the volume V of the unit cell: V = Z M N_A d Substituting the given values: V = 4 192.2 6.022 10²³ 22.4 V = 768.8 134.89 10²³ V = 5.7 10⁻²³ cm ^3 Answer: 5.7 10⁻²³ cm ^3