MHT CET20242 May 2024Morning ShiftChemistrySolid StateActual
Calculate the volume of unit cell of an element having molar mass 27 ~g ~mol ⁻¹ that forms fce unit cell. [ . N _ A =16.0 10²³ ~g ~cm ⁻³ ~mol ⁻¹ ] [Note: The question has been modified to get the correct answer.]
Options
- A7.50 10⁻²³ ~cm ^3
- B6.75 10⁻²³ ~cm ^3
- C5.75 10⁻²³ ~cm ^3
- D8.25 10⁻²³ ~cm ^3
Correct answer
B. 6.75 10⁻²³ ~cm ^3
Step-by-step solution
aligned & = n M a ^3 N _ A & a ^3= n M N _ A = 4 27 ~g ~mol ⁻¹ 16 10²³ ~g ~cm ⁻³ ~mol ⁻¹ & ~V = a ^3=6.75 10⁻²³ ~cm ^3 aligned [Note: In the question, 16.0 10⁻²³ is changed to 16.0 10²³ to apply appropriate textual concepts.]