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JEE Main 202127 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Evening Shift
Subject
Chemistry
Chapter
Chemical Equilibrium

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

When 5 . 1g of solid NH _ 4 HS is introduced into a two litre...

When 5.1g5 . 1g of solid NH4HS{NH}_{4}HS is introduced into a two litre evacuated flask at 27°C,2027 ° C, 20 % of the solid decomposes into gaseous ammonia and hydrogen sulphide. The Kp{K}_{p} for the reaction at 27°C27 ° C is x×10−2x \times {10}^{- 2}. The value of xx is (Integer answer)
[Given \left1R = 0 . 082Latm{K}^{- 1}{mol}^{- 1}\right]

Correct answer

0

Step-by-step solution

Moles of NH4HS{NH}_{4}HS initially taken =5.1g51g/mol=0.1mol= \dfrac{5 . 1g}{51g / mol} = 0 . 1mol

volume of vessel =2L= 2L

NH4HS(s)⇌NH3(g)+H2S(g){NH}_{4}{HS}_{( s )} ⇌ {NH}_{3 ( g )} + {H}_{2}{S}_{( g )}

t=00.1molt = 00 . 1mol

{t=∞0.1(1−0.2)0.1×0.20.1×0.2\begin{cases}t = \infty & 0 . 1 ( 1 - 0 . 2 ) & 0 . 1 \times 0 . 2 & 0 . 1 \times 0 . 2\end{cases}

Partial pressure of each gaseous component

P=nRTV=0.1×0.2×0.082×3002P = \dfrac{nRT}{V} = \dfrac{0 . 1 \times 0 . 2 \times 0 . 082 \times 300}{2}

=0.246atm= 0 . 246atm

⇒kP=PNH3×PH2S=(0.246)2=0.060516⇒ {k}_{P} = {P}_{{NH}_{3}} \times {P}_{{H}_{2}S} = ( 0 . 246{)}^{2} = 0 . 060516

=6.05×10−2= 6 . 05 \times {10}^{- 2}

⇒6⇒ 6

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