Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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

  1. A7.50 10⁻²³ ~cm ^3
  2. B6.75 10⁻²³ ~cm ^3
  3. C5.75 10⁻²³ ~cm ^3
  4. 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.]

Practice Solid State on Quantrex Academy →

More from Solid State

Which of the following defects is observed in steel? 2026A metal has a fcc structure if the edge length of unit cell is 200 pm, calculate the volume occupied by particles in a unit cell. 2026A metal crystallizes in a bcc unit cell having unit cell volume 2.5 10⁻²³ cm ^3 . Find the number of unit cells in 18 g metal if the density of metal is 7.2 g cm ⁻³ . 2026Calculate the density of an element having molar mass 225 g mol ⁻¹ forming bcc structure [a^3 N_A = 75 cm ^3 mol ⁻¹] 2026What is the coordination number of particle in simple cubic structure ? 2026Calculate the radius of atom of metal forming fcc unit cell having edge length 360 pm 2026In ionic solid, anions are arranged in hcp array and cations occupy 1 2 tetrahedral voids. What is the formula of ionic compound ? [Consider A = Cation ; B = anion] 2026Which of the following statements is true about schottky defect ? 2026 Full Solid State list All MHT CET PYQs