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Chapter 4: Q3E (page 777)

Energy of the Nucleus. 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 side2.00脳10-15mwith a proton at each vertex? Assume the protons started from very far away.

Short Answer

Expert verified

The amount of work done for assemble three protons is2.16 MeV

Step by step solution

01

Determine the formula for the work done to assemble the three charges.

Consider the expression for the work done:

U=q04蟿蟿蔚0鈭�qiri

Here,q0=+efor three protons and r will be same for three.

Rewrite the expression as:

U=+e4蟺蔚0+3erU=14蟺蔚0+3e2r 鈥�.. (1)

02

Determine the work done for assemble three protons

Substitute 9.0脳109Nm2C2for 14蟺蔚0,1.6脳10-19Cfor e, 2.00脳10-15mfor rin the equation (1) to determine the word done.

U=9.0脳109Nm2C231.6脳10-19C2.00脳10-15mU=3.46脳10-13JU=3.46脳10-13J1.6脳10-19CU=2.16MeV

Hence, the amount of work done for assemble three protons is 2.16 MeV

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