Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 201219 MayOnline
Exam
JEE Main
Year
2012
Date
19 May
Mode
Online
Subject
Chemistry
Chapter
Solid State

JEE Main 2012 · 19 May · Online · Chemistry · Solid State

Ammonium chloride crystallizes in a body centred cubic lattice with...

Ammonium chloride crystallizes in a body centred cubic lattice with edge length of unit cell of 390 pm\mathrm{pm}. If the size of chloride ion is 180pm180 \mathrm{pm}, the size of ammonium ion would be

Options

  1. A174pm174 \mathrm{pm}
  2. B158pm158 \mathrm{pm}
  3. C142pm142 \mathrm{pm}
  4. D126pm126 \mathrm{pm}

Correct answer

B. 158pm158 \mathrm{pm}

Step-by-step solution

For bcc structure  Interionic distance =r++r−=32a(a= edge length )\begin{aligned}\text{ Interionic distance }=& r^{+}+r^{-}=\frac{\sqrt{3}}{2} a \\ & (a=\text{ edge length }) \end{aligned}\begin{aligned}& r_{\mathrm{NH}_4}^{+}}^{+}+r_{\mathrm{Cl}^{-}}^{-}=\frac{\sqrt{3}}{2} a \\ & r_{\mathrm{NH}_4}^{+}}^{+}+180=\frac{\sqrt{3}}{2} \times390 \end{aligned} \mathrm{r}_{\mathrm{NH}_4^{+}}^{+}=338 \mathrm{pm}-180 \mathrm{pm}=158 \mathrm{pm}$
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