Find the net charge of a system consisting of 6.25×10^6 electrons and 7.75×10^6 protons. Express your answer using three significant figures.

Respuesta :

Answer:

2.40 x 10⁻¹³ C

Explanation:

[tex]n_{e}[/tex] = number of electrons = 6.25 x 10⁶

[tex]q_{e}[/tex] = charge on electron = - 1.6 x 10⁻¹⁹ C

[tex]n_{p}[/tex] = number of protons = 7.75 x 10⁶

[tex]q_{p}[/tex] = charge on proton =  1.6 x 10⁻¹⁹ C

Net charge is given as

Q = [tex]n_{e}[/tex] [tex]q_{e}[/tex] + [tex]n_{p}[/tex] [tex]q_{p}[/tex]

Q = (- 1.6 x 10⁻¹⁹) (6.25 x 10⁶) + (1.6 x 10⁻¹⁹) (7.75 x 10⁶)

Q = 2.40 x 10⁻¹³ C

The net charge on the system will be 2.40 x 10⁻¹³ C

What will be the net charge on the system?

It is given that,

[tex]n_{e}[/tex] = number of electrons = 6.25 x 10⁶

[tex]q_{e}[/tex] = charge on electron = - 1.6 x 10⁻¹⁹ C

[tex]n_{p}[/tex] = number of protons = 7.75 x 10⁶

[tex]q_{p}[/tex] = charge on proton =  1.6 x 10⁻¹⁹ C

The net charge is given as

[tex]Q=n_{e} q_{e} +n_{p}q_{p}[/tex]

[tex]Q= (-1.6\times10^{-19}) (6.25\times10^{6}) +(1.6\times10^{-19})(7.75\times10^{6} )[/tex]

[tex]Q=2.4\times10^{-13} C[/tex]

Thus net charge on the system will be [tex]Q=2.4\times10^{-13} C[/tex]

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