The equilibrium constant, K, for the reaction Co(H₂O)₆²⁺ + 4Cl⁻ ⇌ CoCl₄²⁻ + 6H₂O can be calculated using the formula K = [CoCl₄²⁻] / ([Co(H₂O)₆²⁺] * [Cl⁻]⁴), where [CoCl₄²⁻] is the concentration of CoCl₄²⁻ at equilibrium and [Co(H₂O)₆²⁺] and [Cl⁻] are the initial concentrations of Co(H₂O)₆²⁺ and Cl⁻, respectively. By plugging in the given values and evaluating the expression, we can find the value of K.
To determine the value of the equilibrium constant for the reaction, we need to write the balanced chemical equation first.
The reaction can be represented as:
Co(H₂O)₆²⁺ + 4Cl⁻ ⇌ CoCl₄²⁻ + 6H₂O
The equilibrium constant, K, can be expressed as:
K = [CoCl₄²⁻] / ([Co(H₂O)₆²⁺] * [Cl⁻]⁴)
Given that the concentration of CoCl₄²⁻ at equilibrium is 0.0035 M, the initial concentration of Cl⁻ is 0.100 M, and the initial concentration of Co(H₂O)₆²⁺ is 0.500 M, we can substitute the values into the equation to solve for K.
K = 0.0035 / (0.500 * (0.100)⁴)
By calculating this expression, we can determine the value of the equilibrium constant.