A triply ionized beryllium ion, Be3+ (a beryllium atom with three electrons remo

Question

A triply ionized beryllium ion, Be3+ (a beryllium atom with three electrons removed), behaves very much like a hydrogen atom except that the nuclear charge is four times as great.

A) What is the ground-level energy of Be3+? ANS : -218

B) How does this compare to the ground-level energy of the hydrogen atom?

( E1 Be3+ )/(E1 H)

C) What is the ionization energy of Be3+? ANS : 218

D) How does this compare to the ionization energy of the hydrogen atom?

( E ion Be3+ )/(E ion H)

E) For the hydrogen atom the wavelength of the photon emitted in the n = 2 to n = 1 transition is 122 nm. What is the wavelength of the photon emitted when a Be3+ ion undergoes this transition? ANS : 7.63

F) For a given value of n, how does the radius of an orbit in Be3+ compare to that for hydrogen?

( rn Be3+ )/(rn H)

Explanation / Answer

Here ,

A)

the ground level energy in hydrogen like atoms is given as

E = - 13.6 * Z^2/n^2

for the Be3+

Z = 4

E = -13.6 * 4^2/n^2

E = -218 eV

the ground level energy is -218 eV

B)
for the hygrogen

ground level energy = -13.6/n^2

E1H = - 13.6 eV

for the ratio , ( E1 Be3+ )/(E1 H) = -218/(-13.6)

( E1 Be3+ )/(E1 H) = 16

the ratio ( E1 Be3+ )/(E1 H) is 16

c)

as the final energy is zero after innization

ionization energy = - energy of electron

ionization energy of Be3+ = -(-218)

ionization energy of Be3+ = 218 eV

d)

for the hydogen

ionization energy of H = -(-13.6) = 13.6 eV

for the ratio , ( E ion Be3+ )/(E ion H) = 218/13,6

( E ion Be3+ )/(E ion H) = 16

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.