MHT CET20249 May 2024Morning ShiftChemistrySolid StateActual
Calculate the volume of unit cell when metal having density 1 ~g ~cm ⁻³ and molar mass 23 ~g ~mol ⁻¹ crystallises to form bce structure.
Options
- A6.0 10⁻²³ ~cm ^3
- B8.6 10⁻²³ ~cm ^3
- C9.5 10⁻²³ ~cm ^3
- D7.6 10⁻²³ ~cm ^3
Correct answer
D. 7.6 10⁻²³ ~cm ^3
Step-by-step solution
For b c c unit cell, n =2 . Density ( )= M n a^3 N_A aligned & Volume of unit cell = a ^3= M n N _ A & aligned & & 23 ~g ~mol ⁻¹ 2 1 ~g ~cm ⁻³ 6.022 10²³ ~mol ⁻¹ &=7.6 10⁻²³ ~cm ^3 aligned aligned