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Find the total electric charge of 2.5 kg of electrons. Express your answer using two significant figures.

Answer :

Answer : The total electric charge of electrons is, [tex]-4.4\times 10^{11}C[/tex]

Explanation:

Answer : The number of electrons transferred are, [tex]4.68\times 10^{20}[/tex]

Explanation :

First we have to calculate the number of electrons.

Number of electrons = [tex]\frac{\text{Total mass of electrons}}{\text{Mass of one electron}}[/tex]

Mass of 1 electron = [tex]9.1\times 10^{-31}kg[/tex]

Total mass of electron = 2.5 kg

Number of electrons = [tex]\frac{2.5kg}{9.1\times 10^{-31}kg}[/tex]

Number of electrons = [tex]2.75\times 10^{30}[/tex]

Now we have to calculate the total electric charge of electrons.

Formula used :

[tex]Q=ne\\\\n=\frac{Q}{e}[/tex]

where,

n = number of electrons transferred = [tex]2.75\times 10^{30}[/tex]

Q = charge on electrons = ?

e = charge on 1 electron = [tex]-1.602\times 10^{-19}C[/tex]

Now put all the given values in the above formula, we get:

[tex]2.75\times 10^{30}=\frac{Q}{-1.602\times 10^{-19}C}[/tex]

[tex]Q=-4.4\times 10^{11}C[/tex]

Thus, the total electric charge of electrons is, [tex]-4.4\times 10^{11}C[/tex]

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