A piece of cobalt has a mass of 41 g and is initially electrically neutral. It is then charged with q = +0.6 µC.

(a) How many electrons were removed from the piece of cobalt in the charging process (in electron)
(b) What fraction of the total number of electrons in the piece of cobalt does the number in part (a) represent?
(removed electrons/total electrons)

One electron is 1.67e-19 C. Divide .6e-9 by 1.67e-19 for your answer.

b) Co has an atomic number of 27 and an atomis mass of about 59. So 41 grams is about 41/59 moles. Multiply by Avagadros (6.02e23) to get total number of electrons. The get the ratio for the answer in part a

To find the number of electrons removed from the piece of cobalt, you need to use the charge of an electron and the charge of the cobalt piece.

(a) The charge of an electron is given as -1.6 x 10^-19 coulombs (C). The charge of the cobalt piece is given as +0.6 µC, which is equivalent to +0.6 x 10^-6 C.

To calculate the number of electrons removed, you can use the equation:

Number of electrons = Charge of cobalt piece / Charge of electron

Number of electrons = (+0.6 x 10^-6 C) / (-1.6 x 10^-19 C)

Calculating the value gives:

Number of electrons = -3.75 x 10^12 electrons

Therefore, approximately 3.75 x 10^12 electrons were removed from the piece of cobalt in the charging process.

(b) To find the fraction of the total number of electrons in the cobalt piece that the number obtained in part (a) represents, you need to divide the number of removed electrons by the total number of electrons in the cobalt piece.

The mass of the cobalt piece is given as 41 g. To find the total number of electrons, you can use the molar mass of cobalt and Avogadro's number.

The molar mass of cobalt is 58.93 g/mol. Since cobalt has an atomic number of 27, it means that each mole of cobalt contains 27 electrons.

To calculate the total number of electrons, you can use the equation:

Number of electrons = (mass of cobalt / molar mass of cobalt) x number of electrons per mole

Number of electrons = (41 g / 58.93 g/mol) x (6.022 x 10^23 electrons/mol)

Calculating the value gives:

Number of electrons = 4.22 x 10^23 electrons

Therefore, the fraction of the total number of electrons represented by the number of removed electrons is:

Fraction = (Number of removed electrons) / (Total number of electrons)

Fraction = (3.75 x 10^12 electrons) / (4.22 x 10^23 electrons)

Calculating the value gives:

Fraction = 8.87 x 10^-12

Therefore, the number of removed electrons represents approximately 8.87 x 10^-12 of the total number of electrons in the cobalt piece.