Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Chemistry
Chapter
Solid State

JEE Main 2003 · Chemistry · Solid State

How many unit cells are present in a cubeshaped ideal crystal of...

How many unit cells are present in a cubeshaped ideal crystal of NaCl\mathrm{NaCl} of mass 1.00 g1.00 \mathrm{~g} ? [Atomic masses: Na=23,Cl=35.5\mathrm{Na}=23, \mathrm{Cl}=35.5 ]

Options

  1. A5.14×10215.14 \times 10^{21} unit cells
  2. B1.28×10211.28 \times 10^{21} unit cells
  3. C1.71×10211.71 \times 10^{21} unit cells
  4. D2.57×10212.57 \times 10^{21} unit cells

Correct answer

D. 2.57×10212.57 \times 10^{21} unit cells

Step-by-step solution

Number of formulas in cube shaped crystals =1.058.5×6.02×1023=\frac{1.0}{58.5} \times 6.02 \times 10^{23} since in NaCl\mathrm{NaCl} type of structure 4 formula units form a cell ∴\therefore unit cells =1.0×6.02×102358.5×4=2.57×1021=\frac{1.0 \times 6.02 \times 10^{23}}{58.5 \times 4}=2.57 \times 10^{21} unit cells.
Practice Solid State on Quantrex Academy →

More from Solid State

The density (in g cm^ -3 ) of the metal which forms a cubic close packed (ccp) lattice… JEE Advanced 2025Atoms of metals x, y and z form face-centred cubic (fcc) unit cell of edge length L _ x… JEE Advanced 2023Which of the following expressions is correct in case of a CsCl unit cell (edge length… JEE Main 2023Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of… JEE Main 2023An atomic substance A of molar mass 12g mol ^ – 1 has a cubic crystal structure with edge… JEE Main 2023The correct relationships between unit cell edge length ‘ a ’ and radius of… JEE Main 2023Number of crystal systems from the following where body centred unit cell can be found… JEE Main 2023A compound is formed by two elements X and Y . The element Y forms cubic close packed… JEE Main 2023 Full Solid State list All JEE Main PYQs