A container is filled with CO2(g) and heated to 1000K. The gas pressure at this temperature is 0.50 atm. Graphite (C) is then added to the container and some of the CO2 is converted to CO according to the reaction below. The final equilibrium total gas pressure in the flask is 0.80 atm. Calculate Kp at 1000K for this system.

CO2(g) + C(s) <--> 2CO(g)

Don't know how to set it up!

I would approach it this way.

........CO2 + C ==> 2CO2
I.......0.5..solid....0
C.......-x...........2x
E......0.5-x.........2x
You know that0.5-x + 2x = 0.8
Solve for x, then pCO2 and pCO2 and plug those into the Kp expression and solve for Kp.

Thanks got it!

To set up this problem, we need to write the expression for the equilibrium constant, Kp.

The expression for Kp can be given by:

Kp = (P(CO))^2 / (P(CO2) * P(C))

Where P(CO), P(CO2), and P(C) are the partial pressures of CO, CO2, and C respectively, at equilibrium.

We are given the gas pressure at two different stages of the reaction.

Initially, the container is filled with only CO2(g) at a pressure of 0.50 atm.

After adding the graphite, the system reaches equilibrium and the total pressure in the flask is 0.80 atm. However, we don't know the individual partial pressures of CO, CO2, and C.

To find Kp, we need to determine the partial pressures of CO, CO2, and C at equilibrium.

We can use the following assumptions for this problem:
1. Assume that the CO2(g) and CO(g) behave ideally.
2. Assume that the graphite (C) does not contribute to the total pressure since it is a solid.

With these assumptions, we can write the expression for the total gas pressure at equilibrium using Dalton's law of partial pressures:

P(total) = P(CO2) + P(CO)

Since we know the total pressure (0.80 atm) and the pressure of CO2 (0.50 atm), we can calculate the pressure of CO as:

P(CO) = P(total) - P(CO2)
= 0.80 atm - 0.50 atm
= 0.30 atm

Now, we can substitute the values of the partial pressures into the expression for Kp:

Kp = (P(CO))^2 / (P(CO2) * P(C))
= (0.30 atm)^2 / (0.50 atm * 0.0 atm)

Simplifying further:

Kp = (0.09 atm^2) / 0.0 atm^2

Since dividing by zero is undefined, we cannot determine the value of Kp from the given information.

In conclusion, we cannot calculate the value of Kp at 1000K for this system with the provided information.