Question

$A\, 20$ 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 containers 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 $: SrCO _{3}( s ) \rightleftharpoons SrO ( s )+ CO _{2}( g )$ $\left. K _{ p }=1.6\, atm \right)$

• A. 10 litre
• B. 4 litre
• C. 2 litre
• D. 5 litre

Answer 1

The Correct Option is D

Max. pressure of $CO _{2}=$ Pressure of $CO _{2}$ at equilibrium

For reaction,

$SrCO _{3}( s ) \rightleftharpoons SrO ( s )+ CO _{2}$
$K _{ p }= P _{CO _{2}}=1.6\, atm =$ maximum pressure of $CO _{2}$

Volume of container at this stage,

$V=\frac{ nRT }{ P }$...(i)

Since container is sealed and reaction was not earlier at equilibrium

$\therefore n =$ constant

$n =\frac{ PV }{ RT }=\frac{0.4 \times 20}{ RT }$...(ii)

Put equation (ii) in equation (i)

$V =\left[\frac{0.4 \times 20}{ RT }\right] \frac{ RT }{1.6}=5\, L$