Answer:
K = 4.43 10⁻¹⁸ J
Step-by-step explanation:
The energy of the atoms on the surface of the sun is ‘
E = K + U
where the potential energy is given by
U = - k q² / r
the total energy is given by the thermal energy
E = k T
let's substitute in the first equation
k T = K - k e² / r
K = kT + k e2 / r
the constant are worth
k the Boltzmann constant k = 1,381 10-23 J / K
k the Coulomb cosntnate k = 8.99 109 N m2 / C2
e the charge of the electron e = 1.6 10-19 C
r the radius of the hydrogen atom r = 0.0529 10-9 m
let's calculate
K = 1.381 10⁻²³ 5500 + 8.99 10⁹ (1.6 10⁻¹⁹)² / 0.0529 10⁻⁹
K = 7.596 10⁻²⁰ + 4.35 10⁻¹⁸
K = 4.43 10⁻¹⁸ J