For the equation Ksp = (x)(3x)^3, what is the relationship between x and molar solubility?

To understand the relationship between x and molar solubility in the equation Ksp = (x)(3x)^3, let's first break down the components of the expression.

In this equation, x represents the molar solubility of a salt that dissociates into its ions in solution. Specifically, the term (3x) indicates that for every mole of the salt that dissolves, three moles of one of its ions are produced.

So, when you dissolve the salt, the equation shows that you start with x moles of the undissolved salt and generate 3x moles of that specific ion.

When calculating Ksp, you multiply the concentration of the ions involved in the dissolution reaction. Here, because there is one ion at concentration x and three ions at concentration 3x, Ksp becomes (x)(3x)^3. This simplifies to Ksp = (x)(27x^3), or Ksp = 27x^4.

From this equation, both the x and the 3x concentrations reflect the molar solubility of the salt, meaning x directly represents the molar solubility. Therefore, the correct assertion is that x is equal to the