The equilibrium constant kc for the equation
CS2 + 4H2 <--> CH4 +2H2S
at 900 C is 27.8. what is the value of kc for the following equation?
1/2CS2 + 2H2 <---> 1/2CH4 +H2S
sqr root of 278=5.27?
right.
great thanks
To find the value of Kc for the equation 1/2CS2 + 2H2 ↔ 1/2CH4 + H2S, you can use the relationship between the equilibrium constants of reactions that are the reverse of each other and the equation coefficients.
Given that the equilibrium constant, Kc, for the reaction CS2 + 4H2 ↔ CH4 + 2H2S is 27.8, we can write the equation for the reverse reaction as:
CH4 + 2H2S ↔ CS2 + 4H2
Now, let's determine the equilibrium constant, K'c, for the reverse reaction in terms of the original equilibrium constant, Kc.
K'c = 1/Kc (using the reverse reaction relationship)
Substituting the given value of Kc:
K'c = 1/27.8
Therefore, the value of K'c is approximately 0.036.
Now, comparing the original equation and the reverse equation, we can notice that the reverse reaction equation is multiplied by 1/2 on both sides. This means that, if we multiply K'c by the equilibrium constant expression raised to the power 1/2, we should get Kc for the given equation:
Kc = (K'c)^((1/2) * (1/2)) = (K'c)^(1/4) = (0.036)^(1/4)
Calculating this expression:
√(0.036) ≈ 0.189
Therefore, the value of Kc for the equation 1/2CS2 + 2H2 ↔ 1/2CH4 + H2S is approximately 0.189.
To find the equilibrium constant (Kc) for the given equation, we can use the relationship between equilibrium constants and the stoichiometric coefficients of the balanced equation.
The given equation is:
CS2 + 4H2 ⇌ CH4 + 2H2S
The equation we need to find the equilibrium constant for is:
1/2CS2 + 2H2 ⇌ 1/2CH4 + H2S
To determine the relationship between the two equations, we can use the stoichiometry. Notice that if we multiply the second equation by 2, we get the first equation. Therefore, we can relate the equilibrium constants using the following expression:
Kc2 = (Kc1)^2
Substituting the given equilibrium constant (Kc1 = 27.8) into the equation, we have:
Kc2 = (27.8)^2
Calculating this expression gives us Kc2 = 771.84.
So, the value of Kc for the equation 1/2CS2 + 2H2 ⇌ 1/2CH4 + H2S is 771.84, not approximately 5.27 (which is the square root of 27.8).