Find the total positive charge of all the proton in 5gm of water

Question

Kylee Turner

Physics

2 March, 10:03

Find the total positive charge of all the proton in 5gm of water

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Answers (1)

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Lowe · Answer 1

Protons in 5 grams of water carry a charge of 2.68 * 10⁵ C.

Explanation

How many moles of protons in 5 grams of water?

The mass of one mole of water H₂O is (2 * 1.008 + 16.00) = 18.02 grams. There are 5 / 18.02 = 0.2775 moles of water molecules in 5 grams of water.

Each H atom contains one proton. Each O atom contains eight protons.

As a result, each H₂O molecule contains 2 * 1 + 8 = 10 protons. 0.2775 moles of water molecules will contain 10 * 0.2775 = 2.775 moles of protons.

What's the charge in coulombs on 2.775 moles of proton?

Each mole of electrons carry one Faraday of charge. Each electron carries the same amount of charge as each proton. As a result, each mole of protons will also carry one Faraday of charge. There are 2.775 Faradays of charge on the same number of moles of protons.

There are 96485.333 coulombs in each Faraday of charge. There will be 2.775 * 96485.333 = 2.68 * 10⁵ coulombs in 2.775 Faradays of charge. As a result, protons in 5 grams of water will carry a charge of 2.68 * 10⁵ coulombs.