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Question

CaCO3(s)CaO(s)+CO2(g); Kp=1.64 atm at 1000K
50g of CaCO3 in a 10 litre closed vessel is heated to 1000K. Percentage of CaCO3 that remains unreacted at equilibrium is :
(Given R=0.082 L atm K1mol1)

A
50
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B
20
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C
40
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D
60
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Solution

The correct option is C 60
Number of moles of CaCO3 present initially=50100=0.5 moles

Kp of the given reaction can be written as:

Kp=PCO2=1.64 atm

Number of moles of CO2=PCO2VRT=1.64×100.082×1000=0.2

Number of moles of CaCO3 reacted=0.2 moles

Number of moles of CaCO3 unreacted=(0.50.2)=0.3 moles

Percentage of CaCO3 unreacted=0.30.5×100=60%

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