Question

Calculate velocity, radius, total energy of electron , kinetic energy , potential energy of electron in first shell of hydrogen atom​

Answer 1

Answer:

To calculate the total energy of the electron :

simple expression for the energy of an electron in the hydrogen atom is:

1.E=−13.6n2 where the energy is in electron volts.

2.n is the principle quantum number.

3.So for an electron in n=1 :

4.E=−13.6eV.

5.To convert to joules you can x this by 1.6×10−19.

To calculate potential energy :

The formula that links energy and power is: Energy = Power x Time. The unit of energy is the joule, the unit of power is the watt, and the unit of time is the second.

To calculate Velocity :

The velocity of electron of the nth stationary state for a hydrogen-like specie is expressed as :

vn=2. 18×106×nZm/s.

thus for Hydrogen v1(H)=2. 18×106×11 m/s.

or the velocity of electron present in first Bohr orbit of hydrogen atom=v1(H)=2. 18×106 m/s

To calculate kinetic energy :

Calculate the kinetic energy and potential energy of an electron in the first orbit of hydrogen atom. Given e = 1.6 x 10-19C and r = 0.53 x 10-10m.

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