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Chemical Equilibrium question

2017 · Q112
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Chemical Equilibrium question

2017 · Q112

NEETChemistryChemical EquilibriumMCQ+4 / −1
A 20 litre container at 400 K contains CO2(g) at pressure 0.4 atm and an excess of SrO (neglect the volume of solid SrO). The volume of the container is now decreased by moving the movable piston fitted in the container. The maximum volume of the container, when pressure of CO2 attains its maximum value, will be

(Given that : SrCO3(s) ⇌\rightleftharpoons⇌ SrO(s) + CO2(g), Kp = 1.6 atm)
  1. A
    10 litre
  2. B
    4 litre
  3. C
    2 litre
  4. D
    5 litre
View written solutionFree

Correct answer: D

Initially, P1 = 0.4 atm

V1 = 20 L

T1 = 400 K

Max. pressure of CO2 = Pressure of CO2 at equilibrium

For reaction,

SrCO3(s) ⇌ SrO(s) + CO2

Kp = PCO2 = 1.6 atm = maximum pressure of CO2 volume of container at this stage.

V2 = nRTP2{{nRT} \over {{P_2}}}P2​nRT​ ......(i)

Since, reaction was not at equilibrium earlier and also container is sealed.

∴\therefore∴ n = constant

n = P1V1RT{{{P_1}{V_1}} \over {RT}}RTP1​V1​​ .....(ii)

From (i) and (ii)

V2 = P1V1RT×RTP2{{{P_1}{V_1}} \over {RT}} \times {{RT} \over {{P_2}}}RTP1​V1​​×P2​RT​ = 0.4×201.6{{0.4 \times 20} \over {1.6}}1.60.4×20​ = 5 L

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