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Kp of a gas dissociation from the total pressure at equilibrium

This type of question, asked 4 times: 14 Jun 2022, 29 Jun 2022, 22 Jan 2025, 24 Jan 2025. All 4 questions below, oldest first.

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  1. Question 1

    14 Jun 2022

    143
    PCl5PCl_{5} dissociates as
    PCl5( g)⇌PCl3( g)+Cl2( g)PCl_{5}(\text{ }g) \rightleftharpoons PCl_{3}(\text{ }g) +Cl_{2}(\text{ }g)
    5 moles of PCl5PCl_{5} are placed in a 200 litre vessel which contains 2 moles of N2N_{2} and is maintained at 600 K600\text{ }K. The equilibrium pressure is 2.46 atm2.46\text{ }atm. The equilibrium constant KpK_{p} for the dissociation of PCl5PCl_{5} is ____\_\_\_\_ ×10−3\times10^{- 3}. (nearest integer) (Given: R=0.082 L atm K−1 mol−1R = 0.082\text{ }L\text{ }atm{\text{ }K}^{- 1}{\text{ }mol}^{- 1} : Assume ideal gas behaviour)

  2. Question 2

    29 Jun 2022

    124
    4.0 moles of argon and 5.0 moles of PCl5PCl_{5} are introduced into an evacuated flask of 100 litre capacity at 610 K610\text{ }K. The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be 6.0 atm6.0\text{ }atm. The KpK_{p} for the reaction is ______ [Given: R=0.082 L atm K−1mol−1R = 0.082\text{ }L\text{ }atm\text{ }K^{-1}mol^{-1}]

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  3. Question 3

    22 Jan 2025

    37
    A vessel at 1000 K contains CO2CO_{2} with a pressure of 0.5 atm . Some of CO2CO_{2} is converted into CO on addition of graphite. If total pressure at equilibrium is 0.8 atm , then KPK_{P} is :

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  4. Question 4

    24 Jan 2025

    46
    37.8 g N2O537.8\text{ }g{\text{ }N}_{2}O_{5} was taken in a 1 L reaction vessel and allowed to undergo the following reaction at 500 K
    2 N2O5( g)→2 N2O4( g)+O2( g)2{\text{ }N}_{2}O_{5(\text{ }g)}\rightarrow 2{\text{ }N}_{2}O_{4(\text{ }g)}+O_{2(\text{ }g)}
    The total pressure at equilibrium was found to be 18.65 bar. Then, Kp=Kp = _____\_\_\_\_\_ ×10−2\times10^{- 2} [nearest integer] Assume N2O5N_{2}O_{5} to behave ideally under these conditions Given : R=0.082R = 0.082 bar Lmol−1 K−1Lmol^{- 1}{\text{ }K}^{- 1}