Question

Consider the following chemical equilibrium:

C(s) + 2H2 (g) <------> CH4 (g)
Now write an equation below that shows how to calculate Kp from Kc for this reaction at an absolute temperature T. You can assume T is comfortably above room temperature. If you include any common physical constants in your equation be sure you use their standard symbols, found in the ALEKS Calculator.

Answer 1

The equation to calculate Kp from Kc for a chemical equilibrium at an absolute temperature T is Kp = Kc * (RT)^(∑νg).

Step-by-step explanation:

The equation to calculate Kp from Kc for a chemical equilibrium at an absolute temperature T is:

Kp = Kc * (RT)^(∑νg)

Where Kp is the equilibrium constant in terms of partial pressures, Kc is the equilibrium constant in terms of concentrations, R is the gas constant, T is the absolute temperature, and νg is the sum of the stoichiometric coefficients of the gaseous products minus the sum of the stoichiometric coefficients of the gaseous reactants.

For example, for the given equilibrium C(s) + 2H2(g) ⇌ CH4(g), if the equilibrium constant Kc is known, Kp can be calculated using the equation above with the appropriate values of R and T.

Answer 2

Kp = [CH₄(g)]/[H₂(g)]²(RT)⁻¹

Step-by-step explanation:

C(s) + 2H₂(g) => CH₄(g)

Kp = Kc(RT)ⁿ

n= change in molar volumes of gas = 1 - 2 = -1

R = 0.08206 L·Atm/mol·K (gas constant)

T = Kelvin Temperature (arbitrary in problem) K =°C + 273

Kc = [CH₄(g)]/[H₂(g)]² (measured values need to be in moles/L)

Kp = [CH₄(g)]/[H₂(g)]²(RT)⁻¹