Decide how the electrons in the following table would be listed, if they were li

Question

Decide how the electrons in the following table would be listed, if they were listed in order of increasing electrostatic potential energy. That is, select "1 next to the electron with the lowest electrostatic potential energy, select 2" next to the electron with the second lowest electrostatic potential energy, and so cn electrostatic potential energy electron location 150 nm from an ation with acharge of-1 3.4 rm from an anion with a change of-3 13A nm from an anion with a charge of .2-w ees-m r $.0 nm from an asion with a charge of 2 Icheoss oe A 00se 1 (lowest) C pighest O In

Explanation / Answer

Answer

A<D<C<B

Explanation

Electrostatic potential energy, UE, is given by the following equation

UE = ke q Q/r

ke = coulomb's Constant ,8.99x10^9 Nm^2 C^-2

q and Q are point charges

r is distance between point charges

Therefore ,

If we compare qQ/r value for each suituation

q charge if electron

Q is the charge of Anion

A ) U = 8.99 ×10^9Nm^2 C^-2 × (2.566×10^-39C^2 /5nm )= 4.59 ×10^-38J

B ) U= 8.99 ×10^9Nm^2C^-2× ( 4.806×10^-38C^2 × /3.4nm)= 4.32 ×10^-37J

C) U =8.99 × 10^9Nm C^-2 × ( 3.204×10^-38/3.4nm) = 2.88×10^-37J

D) U = 8.99 ×10^9NmC^2 × ( 4.806 ×10^-38/5nm)= 8.64×10^-38J

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