The mass of one electron is 9.11 * 10(negative 28) grams. A uranium atom contains 92 electrons. Find the total mass of the electrons in a uranium atom. Express your answer in scientific notation.
just multiply
9.11E-28 * 92
838.12E-28
8.3812E-26
To find the total mass of the electrons in a uranium atom, we first need to determine the mass of one uranium atom.
The atomic mass of uranium (U) is 238.03 grams/mole. This means that one mole of uranium atoms has a mass of 238.03 grams.
Next, we need to find the number of moles of uranium atoms in a single uranium atom. Since one mole is defined as Avogadro's number (6.022 x 10^23) of particles, we can calculate the number of moles by dividing the total number of particles by Avogadro's number.
In this case, we know that a uranium atom contains 92 electrons. Therefore, the number of moles of uranium atoms in a single uranium atom is:
Number of moles = 92 electrons / 6.022 x 10^23 electrons/mol
Now, we can multiply the number of moles of uranium atoms by the atomic mass of uranium to find the mass of one uranium atom:
Mass of one uranium atom = Number of moles x Atomic mass of uranium
Finally, to find the total mass of the electrons in a uranium atom, we multiply the mass of one uranium atom by the mass of one electron (9.11 x 10^-28 grams). This is because the mass of one uranium atom is equal to the sum of the masses of its protons, neutrons, and electrons.
Total mass of electrons in a uranium atom = Mass of one uranium atom x Mass of one electron
Plug in the values:
Total mass of electrons in a uranium atom = (Number of moles x Atomic mass of uranium) x Mass of one electron
Now you can calculate the total mass of the electrons in a uranium atom using the given values.