Equilibrium constant reaction problem

In summary, the equilibrium constant for the reaction A2(g) + 4C(g) 2AC2(g) is 4.8. When considering the reverse reaction, AC2(g) A2(g) + 2C(g), the equilibrium constant, K2, would be equal to 1/(sqrt4.8). This is because the mole ratio of all species involved is halved, resulting in the need to take the square root of the inverse of K1. This can be related to the theory by writing the expression for the equilibrium constant for both reactions and substituting K2 into the expression for K1.
  • #1
ahoy hoy
14
0

Homework Statement



Given the equilibrium,
A2(g) + 4C(g) 2AC2(g), K1 = 4.8

It follows that, for the reaction,
AC2(g) A2(g) + 2C(g), K2 = X

X would be

Homework Equations





The Attempt at a Solution


Since the equation is the inverse, i know to use 1/K1.
The mole ratio of everything is halved- why does this mean taking the square root of K1, considering the solution to x is 1/(sqrt4.8).
I woulda just gone for the other multiple choice option 1/2.4
 
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  • #2
yeah you have to take sq root of the inverse.
 
  • #3
but why...could u relate it to theory?
 
  • #4
write the expression for eq const for reaction 1 and 2 and subtitute k2 in the exp for k1
 

FAQ: Equilibrium constant reaction problem

1. What is the equilibrium constant (K) in a reaction?

The equilibrium constant is a value that represents the ratio of products to reactants at equilibrium in a chemical reaction. It is denoted as K and is calculated by dividing the concentration of products by the concentration of reactants, with each concentration raised to the power of their respective stoichiometric coefficients.

2. How is the equilibrium constant related to the rate of a reaction?

The equilibrium constant is not directly related to the rate of a reaction. It is a measure of the extent to which a reaction proceeds, while the rate of a reaction is a measure of how quickly the reaction occurs. However, the equilibrium constant can provide information on the rate of a reaction when combined with the rate law equation.

3. How does the value of the equilibrium constant affect the direction of a reaction?

If the equilibrium constant is greater than 1, it indicates that the concentration of products is greater than the concentration of reactants at equilibrium. This means that the reaction will favor the products, and the reaction will proceed in the forward direction. If the equilibrium constant is less than 1, the reaction will favor the reactants and proceed in the reverse direction. A value of 1 indicates that the concentrations of products and reactants are equal at equilibrium.

4. How does temperature affect the equilibrium constant?

Temperature has a significant effect on the equilibrium constant. As temperature increases, the equilibrium constant may change, resulting in a shift in the equilibrium position. This is due to the fact that the equilibrium constant is dependent on the enthalpy change of the reaction, which is affected by temperature. A change in temperature can also change the rate of the reaction, which can affect the equilibrium constant.

5. Can the equilibrium constant be altered?

The equilibrium constant is a characteristic of a particular reaction and cannot be altered. However, the equilibrium constant can be affected by changes in temperature, pressure, and concentration of reactants and products. These changes can result in a shift in the equilibrium position, thus altering the equilibrium constant.

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