NEET Exam  >  NEET Questions  >  The hardness of a sample of water is 75 ppm. ... Start Learning for Free
The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is?
Most Upvoted Answer
The hardness of a sample of water is 75 ppm. Assuming that water conta...
Calculation of the mass of MgSO4 in a water sample:

Given:
Hardness of water = 75 ppm
Assumption: Water contains only MgSO4

To determine the mass of MgSO4 in the water sample, we need to consider the molar mass of MgSO4 and convert ppm to mass.

1. Molar Mass of MgSO4:
The molar mass of MgSO4 can be calculated by adding the atomic masses of its constituent elements:
Mg (magnesium) = 24.31 g/mol
S (sulfur) = 32.07 g/mol
O (oxygen) = 16.00 g/mol

Molar mass of MgSO4 = (1 × Mg) + (1 × S) + (4 × O)
= (1 × 24.31 g/mol) + (1 × 32.07 g/mol) + (4 × 16.00 g/mol)
= 24.31 g/mol + 32.07 g/mol + 64.00 g/mol
= 120.38 g/mol

Therefore, the molar mass of MgSO4 is 120.38 g/mol.

2. Conversion from ppm to mass:
Parts per million (ppm) is a unit of concentration used to express the ratio of the mass of a substance to the total mass of the solution, multiplied by 10^6.

To convert ppm to mass, we need the total mass of the solution. In this case, we are given that the water sample weighs 10 kg (or 10,000 g).

The ppm value represents the mass of the solute (MgSO4) in 1 million parts of the solution (water).

Given that the hardness of the water sample is 75 ppm, we can calculate the mass of MgSO4 in the water sample using the following formula:

Mass of MgSO4 = (ppm value × total mass of solution) / 10^6

Mass of MgSO4 = (75 ppm × 10,000 g) / 10^6
= (75 × 10,000) / 10^6
= 750,000 / 10^6
= 0.75 g

Therefore, the mass of MgSO4 in the 10 kg water sample is 0.75 g.

Explanation:
The hardness of water is a measure of the concentration of dissolved minerals, mainly calcium and magnesium salts. In this case, we assume that water contains only MgSO4 (magnesium sulfate) to calculate the mass.

First, we calculate the molar mass of MgSO4 by summing the atomic masses of magnesium, sulfur, and oxygen. The molar mass of MgSO4 is found to be 120.38 g/mol.

Next, we convert the given ppm value (75 ppm) to mass by multiplying it with the total mass of the solution (10,000 g) and dividing by 10^6. This gives us the mass of MgSO4 in grams.

The final result shows that the mass of MgSO4 in the 10 kg water sample is 0.75 g.
Community Answer
The hardness of a sample of water is 75 ppm. Assuming that water conta...
0.75?
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is?
Question Description
The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is?.
Solutions for The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? defined & explained in the simplest way possible. Besides giving the explanation of The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is?, a detailed solution for The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? has been provided alongside types of The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? theory, EduRev gives you an ample number of questions to practice The hardness of a sample of water is 75 ppm. Assuming that water contains only MgSO4 the mass of MgSO4 in 10 kg of water sample is? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev