suppose that all electrons in 30.0g of carbon atoms could be located at the Nort

Question

suppose that all electrons in 30.0g of carbon atoms could be located at the North Pole of the earth and that all the protons could be located at the South Pole. what would be the total force of attraction exerted on each group of charges by the other? the atomic mass number of carbon is 6 and the atomic mass of carbon is 12.0g/mol. what would be the magnitude and direction of the force exerted by the charges in part (a) on a third charge that is positive equal to the charge at the South Pole and located at a point on the surface of the earth at the equator? draw a diagram showing the locations of the charges and the forces on the charge at the equator

Explanation / Answer

SOLUTION

We know that
1gram contains avagadro number i.e=6.023 * 1023 atoms
30.0g = 30 * 6.023 * 1023 = 180.69 * 1023 electrons

The total force of attraction exerted on each group of chargesby the other is
F = (1/40) *(q1q2)/(r2)
F = (9 * 10^9) * [((180.69 *10^23)^2 * (1.6 *10^-19)^2)/(12800 *10^3)^2]
=4.59*107 N ANSWER.

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