THE VALUE OF KC=6.2 AT 750K FOR THE REACTION CO+H20 <--> CO2.IF INITIALLY THE QUANTITIES OF CO AND H2O ARE 2 MOLES IN 1L.WHAT COULD BE THE EQUILIBRIUM CONCENTRATIONS FOR ALL CHEMICALS?
To find the equilibrium concentrations for all chemicals in the given reaction, we need to use the concept of the equilibrium constant (Kc). The equilibrium constant is the ratio of the product concentrations to the reactant concentrations, each raised to the power of their stoichiometric coefficients.
Given:
Kc = 6.2
Temperature (T) = 750K
Initial quantities of CO and H2O = 2 moles each in 1L
Let's denote the equilibrium concentrations of CO, H2O, and CO2 as [CO], [H2O], and [CO2], respectively.
Since the reaction is CO + H2O ⇌ CO2, the stoichiometric coefficients are 1, 1, and 1 for CO, H2O, and CO2, respectively.
To determine the equilibrium concentrations, we'll assume that x moles of CO and H2O react to produce x moles of CO2.
So, the equilibrium concentrations can be expressed as follows:
[CO] = 2 - x (initial concentration - x moles react)
[H2O] = 2 - x (initial concentration - x moles react)
[CO2] = x (x moles formed)
Now, using the equilibrium constant expression, Kc = [CO2] / ([CO] * [H2O]), we can substitute the equilibrium concentrations:
6.2 = x / ((2 - x) * (2 - x))
Simplifying this equation gives us a quadratic equation:
6.2 * (2 - x) * (2 - x) = x
24.8 - 12.4x + 6.2x^2 = x
Rearranging:
6.2x^2 - 13.4x + 24.8 = 0
To solve this quadratic equation, you can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / (2a)
In our case, a = 6.2, b = -13.4, and c = 24.8.
Solving the equation will yield two possible values for x, which represent the equilibrium concentrations of CO2. The corresponding equilibrium concentrations of CO and H2O can be calculated using the expressions mentioned earlier ([CO] = 2 - x and [H2O] = 2 - x).
Note: The equilibrium concentrations will depend on the values obtained for x.
The value of Kc = 6.2 at 750K for the reaction CO(g) + H2O(g) ⇌ CO2(g) + H2(g). If
initially the quantities of CO and H2O are 2 moles in a 1 liter vessel, What would be the
equilibrium concentrations of all the chemicals?