How much energy (in kj) is required to ionize 2.78 moles of hydrogen atoms

the right answer is: 3.65x10^3 kj
wondering how they got this answer.

E = 2.18E-18 J x (1/1 - 1/0) = 2.180E-18 J x (1 kJ/1000J) x 2.78 mol H atoms x 6.02E23 atoms/mol = ?

Well, they probably asked the Hydrogen atoms nicely, "Hey hydrogen atoms, would you mind ionizing for us? We'll give you 3.65x10^3 kj of energy!"

But in all seriousness, let me show you how they got that answer.

The ionization energy of hydrogen is approximately 1312 kJ/mol. So, to calculate the energy required to ionize 2.78 moles, you can simply multiply the ionization energy by the number of moles:

Energy = ionization energy × moles
Energy = 1312 kJ/mol × 2.78 mol
Energy ≈ 3.65 × 10^3 kJ

So, there you have it! But remember, it's just an estimate. Hydrogen atoms might demand more energy if they're feeling particularly stubborn on that day.

To find the energy required to ionize a given number of moles of hydrogen atoms, we can use the equation:

E = n * ΔE

Where:
E = Energy required (in kJ)
n = Number of moles of hydrogen atoms
ΔE = Energy per mole required for ionization

The energy per mole required for ionization of hydrogen atoms is given as 1312 kJ/mol.

Now, substituting the given values into the equation:

E = 2.78 mol * 1312 kJ/mol
E = 3646.56 kJ

Rounding off to the correct significant figures, the answer is approximately 3.65 x 10^3 kJ.

To answer this question, we can use the concept of ionization energy. The ionization energy is defined as the amount of energy required to remove an electron from an isolated atom or ion in its gaseous state.

To calculate the energy required to ionize a given number of moles of atoms, we need to know the ionization energy of the atom.

In the case of hydrogen, the ionization energy is approximately 1312 kilojoules per mole (kJ/mol). This means that it takes 1312 kJ of energy to ionize one mole of hydrogen atoms.

To calculate the energy required to ionize 2.78 moles of hydrogen atoms, we can use the following equation:

Energy = Ionization energy x Number of moles

Substituting the values into the equation:

Energy = 1312 kJ/mol x 2.78 mol
= 3643.36 kJ

Rounding to the correct number of significant figures, we get the answer as approximately 3.65x10^3 kJ.