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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Chemical Equilibrium

NTA Abhyas 2020 · Chemistry · Chemical Equilibrium

Equilibrium constant K_ p for the reaction CaCO_ 3 ⇌ CaO + CO_ 2 is...

Equilibrium constant K_{p} for the reaction {\text{CaCO}_{3} ⇌ \text{CaO} + {\text{CO}_{2} is 0.82 atm at 727∘C.7 2 {7}^{∘} \text{C.} If 1 mole of CaCO_{3} is placed in a closed container of 20 L and heated to this temperature, what amount of CaCO_{3} would dissociate at equilibrium?

Options

  1. A0.2 g
  2. B80 g
  3. C20 g
  4. D50 g

Correct answer

C. 20 g

Step-by-step solution

{\text{CaCO}_{3} ⇌ \text{CaO}\text{+}{\text{CO}_{2}
{K}_{p} = {p}_{{\text{CO}_{2}} = 0.82\text{atm}
0.82\text{atm} \times 20\text{L} = {n}_{{\text{CO}_{2}} \times 0.082 \times 1000
2001000=15=nCO2\dfrac{2 0 0}{1 0 0 0} = \dfrac{1}{5} = {n}_{\text{CO} 2}
No. of moles CO2 = no. of moles of CaCO3 decomposed = 15\dfrac{1}{5} mole
Amount of CaCO3 decomposed =15\times100=20g\text{=}\dfrac{1}{5} \text{\times}\text{100}\text{=}\text{20}\text{g}
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