Step 1: Understanding the Question:
We have to express the hardness produced by MgCl2 as CaCO3 equivalent in parts per million.
Step 2: Key Formula or Approach:
Use the equivalent mass conversion followed by the ppm calculation based on the sample weight.
Step 3: Detailed Explanation:
Converting 19 mg of MgCl2 into CaCO3 equivalent gives \(20\) mg. Since this is dissolved in 2 kg of water, the hardness becomes \(20/2=10\) mg/kg, which is the same as 10 ppm.
Step 4: Final Answer:
The hardness of the sample is 10 ppm.