A sample contains 1kg of water if all the electron are removed from the sample and collected together in negatively charged .what is the charge of negatively charge

To determine the total charge of the electrons removed from 1 kg of water, we first need to understand the composition of water and the properties of electrons. Water (H₂O) consists of two hydrogen atoms and one oxygen atom. Each atom has a certain number of electrons, and we can calculate the total number of electrons in 1 kg of water to find the overall charge.

Breaking Down the Components of Water

Water has a molecular weight of approximately 18 grams per mole. This means that in 1 kg (or 1000 grams) of water, we can calculate the number of moles:

• Number of moles of water = 1000 g / 18 g/mol ≈ 55.56 moles

Calculating the Number of Molecules

Next, we need to find out how many molecules of water are present in those moles. Using Avogadro's number, which is approximately 6.022 x 10²³ molecules per mole, we can calculate:

• Number of water molecules = 55.56 moles × 6.022 x 10²³ molecules/mole ≈ 3.34 x 10²⁵ molecules

Finding the Total Number of Electrons

Each water molecule (H₂O) contains 10 electrons (2 from the two hydrogen atoms and 8 from the oxygen atom). Therefore, the total number of electrons in 1 kg of water can be calculated as follows:

• Total electrons = 3.34 x 10²⁵ molecules × 10 electrons/molecule ≈ 3.34 x 10²⁶ electrons

Calculating the Total Charge

The charge of a single electron is approximately -1.6 x 10⁻¹⁹ coulombs. To find the total charge of all the electrons, we multiply the number of electrons by the charge of one electron:

• Total charge = 3.34 x 10²⁶ electrons × -1.6 x 10⁻¹⁹ C/electron ≈ -5.344 x 10⁷ coulombs

Understanding the Result

The negative sign indicates that this is a negative charge, which is expected since we are dealing with electrons. Therefore, if all the electrons from 1 kg of water were removed and collected together, the total charge would be approximately -53.44 million coulombs.

This large negative charge illustrates the significant number of electrons present in even a small amount of water. It also highlights the fundamental nature of electric charge and how it relates to the atomic structure of matter.