Calculate the total and permanent hardness in ppm in given water sample:1. 50 mL of standard hard water, containing 1 mg, pure CaCo3 per mL, consumed 20 mL EDTA solution.2. 50 mL of the water sample consumed 30 mL EDTA solution using EBT indiactor.3. 50 ml of the water sample after boiling and filtering consumed 10 mL of EDTA solution.

To calculate the total and permanent hardness of the water sample, we first need to understand that the hardness of water is primarily due to the presence of multivalent metal ions, mainly calcium (Ca2+) and magnesium (Mg2+). The hardness is usually expressed in terms of equivalent quantity of CaCO3 and is measured in parts per million (ppm).

1. Calculate the hardness of the standard hard water: The standard hard water contains 1 mg of pure CaCO3 per mL. Therefore, 50 mL of this water will contain 50 mg of CaCO3. Since 1 mg/L = 1 ppm, the hardness of the standard hard water is 50 ppm.

2. Calculate the total hardness of the water sample: The water sample consumed 30 mL of EDTA solution, which is 10 mL more than the standard hard water. This means that the water sample is harder than the standard. If 20 mL of EDTA can soften 50 ppm of water, then 1 mL of EDTA can soften 50/20 = 2.5 ppm of water. Therefore, 30 mL of EDTA can soften 30 * 2.5 = 75 ppm of water. This is the total hardness of the water sample.

3. Calculate the permanent hardness of the water sample: After boiling and filtering, the water sample consumed 10 mL of EDTA solution. This is half the amount of EDTA consumed before boiling. This means that half of the hardness was removed by boiling, and the remaining half is the permanent hardness. Therefore, the permanent hardness of the water sample is 75/2 = 37.5 ppm.