Question

what is charge in one glass of water?????

Answer 1

Let us consider 1 cup = 250 mL = 250g

We know Density of Water =  (or) 

where g=grams, cc= centimeter cube, mL= mili litre

 

We know the formula of water is 

Therefore in 18g of  there are 8 protons and 8 electrons.

=> The number of protons and electrons each in 250 g of water are 

=> There are 111 protons and 111 electrons in 250 mL of water

We know charge of 1 electron =  and

charge of 1 proton =  

 

Therefore 

positive charge in a cup of water = 

and

positive charge in cup of water = 

Answer 2

If we assume 100% pure, distilled water, and assume “a cup” refers to the standard cooking measure of volume (250ml), then we can calculate this:

250250ml is 250250cm33

Water has a density of 11g/cm33 so we know that we have 250g250g of water.

Water is composed of 2 hydrogen atoms (1.00794u1.00794u each) and 1 oxygen atom (15.9994u15.9994u) where uu is the Unified atomic mass unit, equal to approximately 1.660539×10−271.660539×10−27kg.

Therefore the mass of one molecule of H22O is simply:

MH2O=18.0153uMH2O=18.0153u

We then simply divide this:

N=250grams18.0153atomic mass unitsN=250grams18.0153atomic mass units

We could plug in the definition of uu and use our calculators — or we could just trust WolframAlpha to sort the units out for us!



Therefore there are 8.357×10248.357×1024 molecules of water in one cup.

We said that water is composed of two hydrogens (1 proton each) and oxygen (8 protons)

Therefore there are 10 protons per water molecule.

Therefore there are 8.357×10258.357×1025 protons in a cup of water.

Each proton has a charge of +e+e, which is 1.6022×10−19C1.6022×10−19C — so the net charge of this number of protons is:

Qwater protons=+18,034CQwater protons=+18,034C

The self-energy of such a system is approximately given by:

U=3Q220πϵ0(size of glass)U=3Q220πϵ0(size of glass)

Plugging in values gives:

U=U= 3×10193×1019J

This is some 100 times larger than the energy released in the Tsar Bomba explosion — the largest nuclear detonation in human history. It is approximately equal to the energy contained in a large hurricane system.

Of course, glasses of water don't explode with the force of 100 nuclear bombs — and they don't have a charge of thousands of coulombs.

This is because every proton has an accompanying electron bound to the nuclei in the molecule — so you have:

Qwater protons=+18,034CQwater protons=+18,034C

Qwater electrons=−18,034CQwater electrons=−18,034C

Therefore:

Qnet=Qwater protons+Qwater electrons=0Qnet=Qwater protons+Qwater electrons=0C

Therefore cups of water are neutral, and don't explode!