Equilibrium Ques 13
13. A $20$ litre container at $400$ $ K$ contains $CO_2(g)$ 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 $CO_2$ attains its maximum value, will be :
(Given that: $SrCO_3(s) \rightleftharpoons SrO(s)+CO_2(g), $ $Kp$ $=1.6 $ $atm$ )
[2017]
(a) $10 $ litre
(b) $4 $ litre
(c) $2 $ litre
(d) $5 $ litre
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Answer:
Correct Answer: 13.(d)
Solution:
- (d) Max. pressure of $CO_2=$ Pressure of $CO_2$ at equilibrium
For reaction,
$SrCO_3(s) \rightleftharpoons SrO(s)+CO_2(g)$
$K_p=P _{CO_2}=1.6$ $ atm=$ maximum pressure of $CO_2$ volume of container at this stage.
$V=\frac{n R T}{P}$$\quad$ ……..(i)
Since container is sealed and reaction was not earlier at equilibrium.
$\therefore \quad n=$ constant.
$n=\frac{P V}{R T}=\frac{0.4 \times 20}{R T}$$\quad$ ……..(ii)
Put equation (ii) in equation (i)
$V=[\frac{0.4 \times 20}{R T}] \frac{R T}{1.6}=5 $ $L$
BETA
