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JEE Main 202117 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Evening Shift
Subject
Chemistry
Chapter
Solid State

JEE Main 2021 · 17 March · Evening Shift · Chemistry · Solid State

KBr is doped with 10 ^ - 5 mole percent of SrBr _ 2 The number of...

KBrKBr is doped with 10−5{10}^{- 5} mole percent of SrBr2{SrBr}_{2} The number of cationic vacancies in 1gofKBr1g of KBr crystal is 1014{10}^{14}. (Round off to the Nearest Integer). [Atomic Mass : K=39.1u,Br=79.9uK = 39 . 1u, Br = 79 . 9u,NA=6.023×1023]{N}_{A} = 6 . 023 \times {10}^{23}]

Correct answer

0

Step-by-step solution

1moleKBr(=119gm)1moleKBr ( = 119gm ) have 10−5100\dfrac{{10}^{- 5}}{100} moles SrBr2{SrBr}_{2} and hence, 10−7{10}^{- 7} moles cation vacancy (as 1Sr2+1{Sr}^{2 +} will result 11 cation vacancy)

∴∴ Required number of cation vacancies

=10−7×6.023×1023119=5.06×1014≃5×1014= \dfrac{{10}^{- 7} \times 6 . 023 \times {10}^{23}}{119} = 5 . 06 \times {10}^{14} ≃ 5 \times {10}^{14}

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