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JEE Main 202225 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Morning Shift
Subject
Chemistry
Chapter
Solid State

JEE Main 2022 · 25 June · Morning Shift · Chemistry · Solid State

The distance between Na ^ + and Cl ^ - ions in solid NaCl of...

The distance between Na+{Na}^{+} and Cl−{Cl}^{-} ions in solid NaClNaCl of density 43.1gcm−343 . 1g{cm}^{- 3} is .....×10−10m. . . . . \times {10}^{- 10}m. (Nearest Integer)
(Given : NA=6.02×1023mol−1{N}_{A} = 6 . 02 \times {10}^{23}{mol}^{- 1})The distance between Na ^ + and Cl ^ - ions in solid NaCl of density 43 . 1g cm ^ - 3 is . . . . . × 10 ^ - 10 m .

Correct answer

0

Step-by-step solution

For NaClZ=4NaClZ = 4 and M=58.5M = 58 . 5 gram

d=Z×MNA×Volumed = \dfrac{Z \times M}{{N}_{A} \times Volume}

43.1=4×58.56.02×1023×[a]343 . 1 = \dfrac{4 \times 58 . 5}{6 . 02 \times {10}^{23} \times {\left[a\right]}^{3}}

a3=4×58.56.02×43.1×10−23{a}^{3} = \dfrac{4 \times 58 . 5}{6 . 02 \times 43 . 1} \times {10}^{- 23}

=0.9×10−23= 0 . 9 \times {10}^{- 23}

=9×10−24= 9 \times {10}^{- 24}

a=2.08×10−8cma = 2 . 08 \times {10}^{- 8}cm

The distance between Na ^ + and Cl ^ - ions in solid NaCl of density 43 . 1g cm ^ - 3 is . . . . . × 10 ^ - 10 m .

dNa++Cl−=a2=2.08×10−102m≃1×10−10m{d}_{{Na}^{+} + {Cl}^{-}} = \dfrac{a}{2} = \dfrac{2 . 08 \times {10}^{- 10}}{2}m ≃ 1 \times {10}^{- 10}m

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