Final answer:
The mass of an electron is approximately 9.109 × 10^-31 kg, not 1.67 × 10^-27 kg as initially stated. Using the correct mass, it would take approximately 1.097768383 × 10^31 electrons to make up 1.0 kg. Answer choice (c) 6.02 × 10^26 is the closest to the incorrect given value but is not accurate with the true mass of an electron.
Step-by-step explanation:
The mass of an electron is incorrectly stated in the initial question; the correct mass of an electron is approximately 9.109 × 10-31 kg. To calculate the number of electrons that make up 1.0 kg, you would divide 1.0 kg by the mass of a single electron. Therefore, the number of electrons is calculated as follows:
Number of electrons = 1.0 kg / 9.109 × 10-31 kg per electron
Number of electrons = 1.0 / 9.109 × 10-31
Number of electrons = 1.097768383 × 1031
This result, however, does not match any of the answer choices provided because the mass of the electron was misstated. The correct choice based on the provided mass of an electron (1.67 × 10-27 kg) would be:
Number of electrons = 1.0 kg / 1.67 × 10-27 kg per electron
Number of electrons = 5.99 × 1026 electrons
So, the correct answer, based on the choices provided and the erroneous mass given, would be (c) 6.02 × 1026 electrons, although this is based on the incorrect assumption that the mass of an electron is 1.67 × 10-27 kg. In reality, it is as stated earlier, 9.109 × 10-31 kg.