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

Short Answer

Expert verified

The total charge of all the electrons in 1.0 L of liquid water isQ=-5.34×107C

Step by step solution

01

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.

02

Content Explanation

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

Q=Ne

We are given,

e=-1.6×10-19C

p=1kg/Lwhere pis the density of water,

V=1Lwhere Vis the volume of water.

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

m=pVm=(1kg/L)(1L)m=1kgor1000g

The number of moles is calculated by dividing the mass of the object (m) with its molecular weight (M). We are given here, M=18g/molewhere M represents molecular weight.

The number of moles is equal to,

n=mMn=1000g18g/moln=55.55moles

03

Conclusion

According to Avogadro's number 1moles=6.02×1023molecule

The total number of electrons in 55.55molesow water is calculated as:

N=10electrons/molecule(nNA)N=10electrons/molecule(55.55oles)(6.02×1023molecules)N=3.34×1026electrons

Substitute the values in the equation localid="1648551824585" Q=Ne

Q=NeQ=(3.34×1026electrons)(-1.6×10-19C)Q=-5.34×107C

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