the energy associated with the first Orbit is the hydrogen atom is 2.18*10^-18J/atm. a)what is the energy associated with the 5th orbit . b)calculate the radius of bohr's 5th orbit for hydrogen atom.????
Answers
Given:
The energy associated with the first Orbit is the hydrogen atom is 2.18*10^-18J/atm.
To find:
a)what is the energy associated with the 5th orbit .
b)calculate the radius of bohr's 5th orbit for hydrogen atom.
Solution:
From given, we have,
The energy associated with the first Orbit is the hydrogen atom is 2.18 × 10^-18 J/atm.
a) The energy associated with the 5th orbit.
The formula used to calculate the energy associated with the orbit is,
En = -2.17 × 10^{-18}/n²
En = -2.17 × 10^{-18}/5²
En = -2.17 × 10^{-18}/25
En = -8.68 × 10^{-20} J
b) The radius of Bohr's 5th orbit for a hydrogen atom.
The formula used to calculate the radius of Bohr's 5th orbit for a hydrogen atom is,
r_{n} = 0.0529n² nm
r_{5} = 0.0529 × 5² nm
r_{5} = 0.0529 × 25 nm
r_{5} = 1.3225 nm
Therefore, a) The energy associated with the 5th orbit is -8.68 × 10^{-20} J. b) The radius of Bohr's 5th orbit for the hydrogen atom is 1.3225 nm.