When 0.100 mol of CaCO₃ (s) and 0.100 mol of CaO(s) are placed in an evacuated sealed 10.0-L container and heated to 385 K, PCO₂ = 0.220 atm after equilibrium is established:CaCO₃(s) ⇄ CaO(s) + CO₂(g)An additional 0.300 atm of CO₂(g) is pumped in. What is the total mass (in g) of CaCO₃ after equilibrium is re-established?

Respuesta :

The CO₂ increases the mass of CaCO₃(s) and CaO in the container based on the equilibrium constant to give approximately 10.65 g of CaCO₃(s).

Response:

The total mass of CaCO₃(s) after equilibrium is reestablished  approximately 10.65  grams

What is the equation for equilibrium constant?

The given reaction is presented as follows;

Number of moles of CaCO₃(s) = 0.100 mol

Number of moles of CaO(s) = 0.100 mol

Volume of the container = 10.0 L

Temperature to which the container is heated = 385 K

Pressure of the CO₂ after equilibrium = 0.220 atm

The chemical reaction is presented as follows;

CaCO₃(s) ⇌ CaO(s) + CO₂(g)

Additional CO₂(g) added = 0.240 atm.

Solution:

P·V = n·R·T

Which gives;

Therefore;

Concentration of the CO₂ = [CO₂] = 0.0696 ÷ 10 = 0.00696

The number of moles of CaCO₃(s) after the reaction = 0.1 - 0.0696 = 0.0304

The number of moles of CaO(s) after the reaction = 0.1 + 0.0696 = 0.1696

Number of moles in 0.24 atm of CO₂ is found as follows;

The number of moles of CaCO₃ after the reaction is therefore;

= 0.0304 + 0.076 = 0.1064

The molar mass of CaCO₃ = 100.0869 g/mol

Which gives;

Mass of CaCO₃  = 100.0869 g/mol × 0.1064 moles ≈ 10.65 g

The total mass of CaCO₃(s) after equilibrium ≈ 10.65 grams

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