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Q. 5

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 624

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Short Answer

What is the total charge of all the electrons in 1.0 L of liquid water?

The total charge of all the electrons in 1.0 L of liquid water is

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Step by Step Solution

Step 1: Content Introduction

A water molecule has no overall charge, but each hydrogen atom has a little positive charge and the oxygen atom has a slight negative charge.

Step 2: Content Explanation

The charge is represented by and for an object its charge equals the number of carriers N times the charge of carrier which is for electrons and for protons. Therefore,

We are given,

where is the density of water,

where is the volume of water.

The mass represents the product of volume and the density. Therefore mass of water is

The number of moles is calculated by dividing the mass of the object (m) with its molecular weight (M). We are given here, where M represents molecular weight.

The number of moles is equal to,

Step 3: Conclusion

According to Avogadro's number

The total number of electrons in ow water is calculated as:

Substitute the values in the equation

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