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1 mole of CaCO3 is heated in 11.2 lit vessel so that equilibrium is established at 819K. If KP for CaCO3=CaO CO2 at this temperature is 2 ATM, equilibrium concentration of CO2 is?
Most Upvoted Answer
1 mole of CaCO3 is heated in 11.2 lit vessel so that equilibrium is es...
Kp = Kc.(R∆T)^(∆n)
2×101325pa = Kc.(8.314×819)^(2-1)
Kc = 202,650/(8.314×819)^1= 202,650/6809.2
Kc = 29.76M ~ 30M
Kc = [CO2] = 29.76M~ 30M
Community Answer
1 mole of CaCO3 is heated in 11.2 lit vessel so that equilibrium is es...
Understanding the Reaction
When 1 mole of CaCO3 is heated, it decomposes into CaO and CO2:
CaCO3 (s) ⇌ CaO (s) + CO2 (g)
At equilibrium, the relationship between the partial pressure of CO2 and the equilibrium constant Kp is given by:
Kp = P(CO2)
Given that Kp at 819 K is 2 ATM, we can conclude:
Setting Up the Problem
- Moles of CaCO3: 1 mole
- Volume of the vessel: 11.2 L
- Temperature: 819 K
- Equilibrium constant (Kp): 2 ATM
Since the reaction produces 1 mole of CO2 for every mole of CaCO3, the equilibrium concentration of CO2 can be determined from the Kp value.
Calculating the Equilibrium Concentration of CO2
- Using Ideal Gas Law:
The ideal gas law states that PV = nRT, where:
- P = pressure of the gas (in ATM)
- V = volume of the vessel (in L)
- n = number of moles of gas
- R = gas constant (0.0821 L·ATM/(K·mol))
- T = temperature (in K)
Rearranging the equation to find n (moles of CO2):
n = PV / RT
- Substituting Known Values:
At equilibrium, P = Kp = 2 ATM, and substituting:
n = (2 ATM * 11.2 L) / (0.0821 L·ATM/(K·mol) * 819 K)
- Final Calculation:
Upon calculating, the moles of CO2 yield approximately 0.53 moles.
Conclusion
Thus, the equilibrium concentration of CO2 in the vessel is approximately 0.53 moles, which corresponds to a partial pressure of 2 ATM as specified by Kp at the given temperature.
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1 mole of CaCO3 is heated in 11.2 lit vessel so that equilibrium is established at 819K. If KP for CaCO3=CaO CO2 at this temperature is 2 ATM, equilibrium concentration of CO2 is?
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