Kp for the reaction CaCO3 <---> CaO + CO2 at 350 degrees C is 0.105. Kc for the reaction at the same temp is _____.

This is what I did. I changed all the moles into M. Then I subbed everything into the Kc formula and then changed it into a quadratic. Then everything looked wrong, and I started getting confused.

No, looking at wrong page in homework, on this problem, I subbed everything into the Kp=Kc(RT)delta n, and then tried to isloate Kc, but I don't think I am right

Kc = Kp(RT)^-delta n.

You know Kp, R = 0.082 and T = 273 + 350. Delta n is n products - n reactants and for the GASEOUS equation, n products is 1 and n reactants = 0

Don't change to molarities for these problems. n refers to the number of mols in the balanced equation, not the number of mol in the reaction vessel.

To solve this problem, we need to relate Kp and Kc for a reaction. Kp represents the equilibrium constant in terms of partial pressures, while Kc represents the equilibrium constant in terms of molar concentrations.

To convert between Kp and Kc, we use the ideal gas law:

Kp = Kc(RT)^(delta n)

where R is the ideal gas constant, T is the temperature in Kelvin, and delta n is the change in the number of moles of gaseous products minus the number of moles of gaseous reactants.

Now, let's tackle the problem step-by-step:

1. Write the balanced equation for the reaction:
CaCO3(s) ↔ CaO(s) + CO2(g)

2. Determine the stoichiometric coefficients:
1 mol CaCO3 ↔ 1 mol CaO + 1 mol CO2

3. Determine delta n:
delta n = (n_products) - (n_reactants)
= (1 + 1) - 1
= 1

4. Convert the given Kp value to Kc:
Kp = Kc(RT)^(delta n)
Kc = Kp / (RT)^(delta n)

5. Convert the temperature to Kelvin:
350 degrees Celsius + 273.15 = 623.15 K

6. Use the ideal gas constant R. R is usually given as 0.0821 L·atm/(mol·K), but make sure to use the appropriate units for pressure. If you're using bar as your pressure unit, R would be 0.0821 L·bar/(mol·K).

7. Substitute the values:
Kc = 0.105 / (0.0821 L·atm/(mol·K) * 623.15 K)^(1)

8. Calculate Kc using a calculator or mathematical software.

Remember to double-check your units and make sure they are consistent throughout the calculation.

I hope this explanation helps you understand how to approach this problem and solve it step-by-step!