The distance of electron from the nucleus in a hydrogen atom is 5x10^-11m.Estimate the electrical potential energy of atom
To estimate the electrical potential energy of a hydrogen atom, you can use the formula:
Potential Energy = - (k * (q1 * q2) / r)
Where:
- "k" is the electrostatic constant (approximately 8.99 x 10^9 Nm^2/C^2).
- "q1" and "q2" are the charges involved (in this case, the charge of the electron and proton in the hydrogen atom).
- "r" is the distance between the charges.
In this case, we are assuming the distance given is the distance between the electron and the nucleus, which is equivalent to the radius of the hydrogen atom. Additionally, we know the charge of the electron is -1.6 x 10^-19 C, and the charge of the proton is +1.6 x 10^-19 C (since they have equal but opposite charges). Substituting these values into the formula, we get:
Potential Energy = - (8.99 x 10^9 Nm^2/C^2 * (-1.6 x 10^-19 C) * (1.6 x 10^-19 C) / (5 x 10^-11 m))
After simplifying the calculation, the estimated electrical potential energy can be obtained.
To estimate the electrical potential energy of the hydrogen atom, we can use the formula for the electrical potential energy of a point charge:
PE = (k * q1 * q2) / r
where PE is the electrical potential energy, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges of the interacting objects, and r is the separation distance between the charges.
In the case of a hydrogen atom, we have a proton in the nucleus with a charge of +1 elementary charge (1.6 x 10^-19 C), and an electron orbiting the nucleus with a charge of -1 elementary charge.
Plugging in the values, we have:
PE = (9 x 10^9 Nm^2/C^2) * (1.6 x 10^-19 C) * (-1.6 x 10^-19 C) / (5 x 10^-11 m)
Simplifying this expression, we get:
PE = -2.304 x 10^-18 Nm
Therefore, the estimated electrical potential energy of the hydrogen atom is approximately -2.304 x 10^-18 Nm.