Final answer:
The concentrations of [Ca²+], [CO32-], and [HCO3-] in the water sample can be calculated based on the given parameters and chemical reactions.
Step-by-step explanation:
The concentrations of [Ca²+], [CO32-], and [HCO3-] in the water sample can be calculated based on the given parameters and chemical reactions.
First, we need to determine the concentration of [Ca²+]. Since the water sample has a hardness of 10.0 mg CaCO3/L, we can convert this to molar concentration using the molar mass of CaCO3. [Ca²+] = 10.0 mg/L ÷ molar mass of CaCO3.
Next, we can calculate the concentration of [CO32-]. From the reaction CaCO3 + H2CO3 → Ca²+ + 2HCO3-, we know that the concentration of [CO32-] is twice the concentration of [Ca²+]. [CO32-] = 2 × [Ca²+].
Lastly, we can calculate the concentration of [HCO3-]. From the reaction CaCO3 + H2CO3 → Ca²+ + 2HCO3-, we know that the concentration of [HCO3-] is twice the concentration of [Ca²+]. [HCO3-] = 2 × [Ca²+].