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NEET CHEMISTRYMedium

A 20 litre container at 400 K contains CO2(g)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 the pressure of CO2CO_2 attains its maximum value, will be (Given that: SrCO3(s)SrO(s)+CO2(g)SrCO_3(s) \rightleftharpoons SrO(s) + CO_2(g), (Kp=1.6 atmK_p = 1.6\text{ atm}))

A

5 L

B

10 L

C

4 L

D

2 L

Step-by-Step Solution

The maximum pressure of CO2CO_2 in the container is determined by the equilibrium constant KpK_p of the given reaction. For the reaction: SrCO3(s)SrO(s)+CO2(g)SrCO_3(s) \rightleftharpoons SrO(s) + CO_2(g) Kp=pCO2=1.6 atmK_p = p_{CO_2} = 1.6\text{ atm}. Thus, the maximum pressure of CO2CO_2 that can be attained is 1.6 atm1.6\text{ atm}. Applying Boyle's law (p1V1=p2V2p_1V_1 = p_2V_2) to find the volume at which this maximum pressure is reached: 0.4 atm×20 L=1.6 atm×V20.4\text{ atm} \times 20\text{ L} = 1.6\text{ atm} \times V_2 V2=0.4×201.6=5 LV_2 = \frac{0.4 \times 20}{1.6} = 5\text{ L}.

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