Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET Medical202622 April 2026Evening ShiftChemistrySolid StateActual

Sodium forms bcc structure. The molar mass of sodium is 23 g/mol. What is the mass of 3 unit cells of sodium?

Options

  1. A2.2915 10⁻²² g
  2. B7.638 10⁻²³ g
  3. C3.819 10⁻²³ g
  4. D1.5277 10⁻²² g

Correct answer

A. 2.2915 10⁻²² g

Step-by-step solution

For a bcc structure, the number of atoms per unit cell is Z = 2 . The mass of one atom of sodium is M N_A , where M = 23 g/mol and N_A = 6.022 10²³ mol ⁻¹ . The mass of one unit cell is Z M N_A = 2 23 6.022 10²³ g. The mass of 3 unit cells is 3 2 23 6.022 10²³ g. = 138 6.022 10²³ g = 22.915 10⁻²³ g = 2.2915 10⁻²² g Answer: 2.2915 10⁻²² g

Practice Solid State on Quantrex Academy →

More from Solid State

Which of the following formulae is used to find total volume of atoms present in face-centred cubic unit cell? 2026What is the packing efficiency of a metal crystal if it crystallizes in a face centered cubic lattice ? 2026What is the total number of tetrahedral voids present in a single fcc unit cell? 2026The unit cell of metal contains four particles. Calculate the volume of the unit cell if the molar mass of metal is 192 g mol ⁻¹ . [ N_A = 1.5 10²⁵ g cm ⁻³ mol ⁻¹ ] 2026A metal forms fcc unit cell with unit edge length 400 pm . Calculate the number of atoms present in 0.6 g of metal if the density of metal is 12.0 g/cm ^3 2026A compound is formed by two elements X and Y. The atoms of element Y form a hcp structure. The atoms of element X occupy 1/3 of octahedral voids. What is the formula of a compound? 2026An element has bcc structure with atomic radius 200 pm. Find the volume of unit cell. 2026Which of the following crystal system has four types of unit cells? 2026 Full Solid State list All MHT CET Medical PYQs