i don't know how to solve this problem,could anyone is here to give me the correct solution.It will be good for me.

In a reactor of 1.5 L the same amount of C and H2O was introduced. When the reaction:
C(s) + H2O ⇄ CO + H2
reaches the equilibrium at 1273 K, the recipient contains 2.4 moles of gases and the partial pressure of H2O is 25 atm. Calculate the Kp of the reaction and the composition of the mixture at the equilibrium.

Please explain what the recipient is. Are all gases 2.4 moles or is that CO and H2 = 2.4 mols.

To solve this problem, we need to use the ideal gas law, equilibrium constant expressions, and stoichiometry.

First, let's write the balanced equation for the reaction:

C(s) + H2O ⇄ CO + H2

Next, let's define the equilibrium constant expression, Kp, for this reaction. The equilibrium constant expression is given by the ratio of the partial pressures of the products to the partial pressures of the reactants, each raised to the power of their stoichiometric coefficients.

Kp = (PH2 * PCO) / (PH2O * PC)

Now, let's analyze the given information. We know that the initial amounts of C and H2O are equal in moles since "the same amount of C and H2O was introduced." We are also given that the recipient contains 2.4 moles of gases and the partial pressure of H2O is 25 atm. However, we don't have the partial pressure values for H2 and CO.

To calculate the unknown partial pressures, we need to use the ideal gas law:

PV = nRT

Where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin. Rearranging the equation, we get:

P = nRT / V

Now, let's calculate the values of PH2 and PCO using the ideal gas law:

PH2 = (nH2 * R * T) / V
PCO = (nCO * R * T) / V

Since we are given the volume of the reactor (1.5 L), we can substitute the given values to calculate PH2 and PCO.

Once we have the values for PH2, PCO, and PH2O, we can substitute these values into the Kp expression to find the equilibrium constant.

Finally, to calculate the composition of the mixture at equilibrium, we can use the stoichiometric coefficients in the balanced equation to determine the moles of each substance present.

I hope this explanation helps you understand how to approach this problem. Let me know if you have any further questions!