Final answer:
To find the mass of copper (I) chloride, CuCl, that dissolves in 5.0 L of 1.0 M NaCN, we can use the formation constant and the solubility product constant (Ksp) to calculate the equilibrium concentration of CuCl in the solution. The mass of copper (I) chloride dissolved can then be determined using its molar mass.
Step-by-step explanation:
To find the mass of copper (I) chloride, CuCl, that dissolves in 5.0 L of 1.0 M NaCN, we need to understand the concept of solubility product constant. The solubility product constant (Ksp) is a measure of the solubility of a compound in water. It represents the equilibrium constant for the dissociation of the compound into its constituent ions.
In this case, we have the formation constant for the complex ion Cu(CN)2, which is 1.0 x 10^16. The formation constant represents the equilibrium constant for the formation of the complex ion Cu(CN)2.
To calculate the mass of copper (I) chloride that dissolves in 5.0 L of 1.0 M NaCN, we can use the following equation:
[CuCl] = Ksp/[CN-]^2
Substituting the given values: Ksp = 1.9 x 10^-9, [CN-] = 1.0 M, we can solve for [CuCl]. The mass of copper (I) chloride dissolved can be calculated using the molar mass of CuCl.
The mass of copper (I) chloride that dissolves in 5.0 L of 1.0 M NaCN is approximately 2.0 g (option a).