Question

How much work is needed to assemble an atomic nucleus containing three protons (such as Li) if we model it as an equilateral triangle of side 2.00×10−15m with a proton at each vertex? Assume the protons started from very far away.

Answer 1

Step-by-step explanation:

Potential energy of system of three protons kept on the vertices of an equilateral triangle of side 2 x 10⁻¹⁵ m

= k ( q₁q₂ / r₁₂ + q₂q₃/r₂₃ + q₁q₃ / r₁₃ )

= k x 3 q² / r

= 9 x 10⁹ x 3 x (1.6 x 10⁻¹⁹)² / 2 x 10⁻¹⁵

= 34.56 x 10⁻¹⁴ J

Potential at infinity is zero

so work done

= 34.56 x 10⁻¹⁴ J - 0

= 34.56 x 10⁻¹⁴ J