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JEE Main 202127 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Equilibrium

JEE Main 2021 · 27 August · Morning Shift · Chemistry · Chemical Equilibrium

The number of moles of NH _ 3 , that must be added to 2L of 0 . 80...

The number of moles of NH3,{NH}_{3}, that must be added to 2Lof0.80MAgNO32L of 0 . 80{MAgNO}_{3} in order to reduce the concentration of Ag+{Ag}^{+} ions to 5.0×10−8M5 . 0 \times {10}^{- 8}M\left({K}_{\text{formation}}\right) for [Ag(NH3)2]+=1.0×108){\left[Ag{\left({NH}_{3}\right)}_{2}\right]}^{+} = 1 . 0 \times {10}^{8}) is __________. (Nearest integer)
[Assume no volume change on adding NH3{NH}_{3}]

Correct answer

0

Step-by-step solution

Let no. moles of NH3{NH}_{3} added =x= x

Ag+(aq)+2NH3(aq)⇌[Ag(NH3)2]+(aq){Ag}^{+} ( aq ) + 2{NH}_{3} ( aq ) ⇌ {\left[Ag{\left({NH}_{3}\right)}_{2}\right]}^{+} ( aq )

t=00.8x2t = 0 0 . 8 \dfrac{x}{2}

t=∞5×10−8(x2−1.6)0.8t = \infty 5 \times {10}^{- 8} \left(\dfrac{x}{2} - 1 . 6\right) 0 . 8

Keq=[[Ag(NH3)2]+][Ag+][NH3]2{K}_{eq} = \dfrac{\left[{\left[Ag{\left({NH}_{3}\right)}_{2}\right]}^{+}\right]}{\left[{Ag}^{+}\right]{\left[{NH}_{3}\right]}^{2}}

x2−1.6=0.4\dfrac{x}{2} - 1 . 6 = 0 . 4

x=4x = 4

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