Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202121 Sep 2021Evening ShiftChemistrySolid StateActual

What is the density of an element (At. mass 100 ~g ~mol ⁻¹ ) having BCC structure with edge length 400 pm ?

Options

  1. A3.2 ~g ~cm ⁻³
  2. B8.2 ~g ~cm ⁻³
  3. C5.18 ~g ~cm ⁻³
  4. D4.8 ~g ~cm ⁻³

Correct answer

C. 5.18 ~g ~cm ⁻³

Step-by-step solution

aligned & a =400 pm =400 10⁻¹² ~m & =400 10⁻¹⁰ ~cm & =4 10⁻⁸ ~cm & Z =2( for BCC ) & d = Z M N _ A a ^3 = 2 100 6.022 10²³ (4 10⁻⁸ )^3 =5.18 ~g ~cm ⁻³ aligned

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