Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

An element P (atomic weight = 80 g/mol) having fcc structure,...

An element P (atomic weight = 80 g/mol) having fcc structure, calculate number of unit cells in 8 gm of P

Options

  1. A0.4×NA0.4 \times {N}_{A}
  2. B0.1×NA0.1 \times {N}_{A}
  3. C4×NA4 \times {N}_{A}
  4. DNone of these

Correct answer

D. None of these

Step-by-step solution

Number of atoms in fcc = 4

Total number of atoms =watomicwt.×NA= \dfrac{w}{atomic\text{wt.}} \times {N}_{A}

Total number of atoms =880×NA=NA10= \dfrac{8}{80} \times {N}_{A} = \dfrac{{N}_{A}}{10}

Number of unit cell =NA10×14= \dfrac{{N}_{A}}{10} \times \dfrac{1}{4}

=6.04×1022= \dfrac{6.0}{4} \times 1{0}^{22}

=1.5×1022= 1.5 \times 1{0}^{22}
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 NTA Abhyas JEE Main PYQs