Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202314 May 2023Evening ShiftChemistrySolid StateActual

Calculate the density of metal having molar mass 210 ~g ~mol ⁻¹ that forms simple cubic unit cell. ( a ^3 N _ A =21.5 ~cm ^3 ~mol ⁻¹ )

Options

  1. A9.77 ~g ~cm ⁻³
  2. B7.15 ~g ~cm ⁻³
  3. C8.12 ~g ~cm ⁻³
  4. D6.94 ~g ~cm ⁻³

Correct answer

A. 9.77 ~g ~cm ⁻³

Step-by-step solution

For simple cubic unit cell, n =1 . Density ( )= nM a ^3 ~N _ A = 1 210 21.5 =9.77 ~g ~cm ⁻³

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