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

Calculate the density (in kg m ^ - 3 ) of potassium hving a bcc...

Calculate the density (in kgm−3kg{m}^{- 3} ) of potassium hving a bccbcc structure with nearest neighbour distance of 4.52A˚.\text{4.52}Å . (Given atomic weight of potassium is 39)

Correct answer

910

Step-by-step solution

For bcc, d=32ad = \dfrac{\sqrt{3}}{2}a

Or a=2d3=2×4.521.732=5.219A∘=522pma = \dfrac{2d}{\sqrt{3}} = \dfrac{2 \times 4.52}{1.732} = 5.219{A}^{∘} = 522pm

ρ=Z×Ma3×N0×10−30ρ = \dfrac{Z \times M}{{a}^{3} \times {N}_{0} \times \text{1}{\text{0}}^{- \text{30}}}

=2×39(522)3×(6.023×1023)×10−30=0.91g/cm3=910kgm−3= \dfrac{2 \times \text{39}}{( \text{522}{)}^{3} \times ( \text{6.023} \times \text{1}{\text{0}}^{\text{23}} ) \times \text{1}{\text{0}}^{- \text{30}}} = \text{0.91}g / c{m}^{3} = \text{910}kg{m}^{- 3}
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