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

A metallic element exists in cubic lattice. Each edge of unit cell...

A metallic element exists in cubic lattice. Each edge of unit cell is 4Ao\text{4}\overset{o}{A} The density of metal is \text{6}\text{.25}\text{g}{\text{/m}^{3} \text{.} How many unit cells will be present in 100g\text{100}\text{g} of metal?

Options

  1. A1×10221 \times 1{0}^{22}
  2. B2.5×10292.5 \times 1{0}^{29}
  3. C5×10235 \times 1{0}^{23}
  4. D2×10232 \times 1{0}^{23}

Correct answer

B. 2.5×10292.5 \times 1{0}^{29}

Step-by-step solution

d=weightTotalvolume\text{d}\text{=}\dfrac{\text{weight}}{\text{Total}\text{volume}}
6.25=100n×(4×10−10)36.25 = \dfrac{100}{\text{n} \times {\left(4 \times {10}^{- 10}\right)}^{3}}
1006.25×64×10−30\dfrac{100}{6.25 \times 64 \times {10}^{- 30}}
\text{n}\text{=}\text{2}\text{.5}\text{\times}{\text{10}^{29}
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