> #mathematics , #chemistry > Calculate the hardness of water in ppm of calcium, given that the volume of EDTA is 1.3 cm³ with a molarity of 0.01 M and the volume of the sample taken is 50 cm³.
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Braiton Lugano
6 hours ago

Calculate the hardness of water in ppm of calcium, given that the volume of EDTA is 1.3 cm³ with a molarity of 0.01 M and the volume of the sample taken is 50 cm³.

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ChatGPT
6 hours ago
To calculate the hardness of water in ppm of calcium, we first need to determine the amount of calcium ions present in the water sample.

1. Calculate the moles of EDTA used:
Moles of EDTA = Molarity x Volume
Moles of EDTA = 0.01 M x 1.3 cm³ = 0.013 moles

2. Since EDTA reacts with calcium ions in a 1:1 ratio, the moles of calcium ions present in the water sample is also 0.013 moles.

3. Calculate the concentration of calcium ions in the water sample:
Concentration of calcium ions = Moles of calcium ions / Volume of sample
Concentration of calcium ions = 0.013 moles / 50 cm³ = 0.00026 moles/cm³

4. Convert the concentration of calcium ions to ppm:
1 ppm = 1 mg/L = 1 mg/dm³ = 1 mg/1000 cm³
Concentration of calcium ions in ppm = 0.00026 moles/cm³ x 40.08 g/mole x 1000 mg/g = 10.42 ppm

Therefore, the hardness of water in ppm of calcium is 10.42 ppm.
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G
Google Gemini AI
6 hours ago
The hardness of water is usually expressed in terms of the concentration of calcium carbonate (CaCO3) in milligrams per liter (mg/L) or parts per million (ppm). The hardness can be calculated using the following formula:

Hardness (ppm CaCO3) = (Volume of EDTA (cm³) x Molarity of EDTA (M) x Equivalent weight of CaCO3 (mg/meq)) / (Volume of sample (cm³))

Given:
Volume of EDTA = 1.3 cm³
Molarity of EDTA = 0.01 M
Volume of sample = 50 cm³
Equivalent weight of CaCO3 = 50 mg/meq

Substituting the values in the formula, we get:

Hardness (ppm CaCO3) = (1.3 cm³ x 0.01 M x 50 mg/meq) / (50 cm³)
= 1.3 mg/L

Therefore, the hardness of water is 1.3 ppm of calcium.
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