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Question

When 20 g of CaCO3 were put in a 10 litre flask and heated to 800C , 35% of CaCO3 remained unreacted at equilibrium.
KP for decomposition of CaCO3 will be

A
1.145 atm
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B
0.145 atm
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C
2.146 atm
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D
3.145 atm
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Solution

The correct option is D 1.145 atm
The equilibrium reaction is CaCO3(s)CaO(s)+CO2(g).
The following table lists the quantities of various species.

CaCO3
CaO
CO2
Initial mass (g)
20
0
0
Initial moles
0.2
0
0
Moles at equilibrium
0.35×0.2
0.13
0.13
The ideal gas equation is PV=nRT.
The partial pressure of CO2=P=nRTV=0.13×0.0821×107310=1.145 atm.
The expression for the equilibrium constant (KP) =PCO2=1.145 atm.

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