The 1s--> 2p transition in a hydrogen-like ion occurs at 7.10704x105 cm-1 . a. What is...

The 1s--> 2p transition in a hydrogen-like ion occurs at 7.10704x10⁵ cm^-1
.
a. What is the ionization energy of this atom in Joules?
b. If this atom is ionized with light with a wavelength 4.00 nm, what is the de Broglie
wavelength of the ejected electrons?

Expert Solution

a) Given frequency = 7.10*10 ⁵ cm^-1

E = hc(wave number) = 6.626*10^-34 J.sec * 3*10⁸ m/sec * 7.10*10³ m^-1 = 1.41*10^-21 J(ionization energy)

b) For the given wave length , energy associated = E = hc/wave length

= (6.626*10^-34 J.sec) (3*10⁸ m/sec) / 4*10^-9 m

= 4.96*10^-17 J

Thus , K.E of ejected electrons = -1.41*10^-21 + 4.96*10^-17 = 4.96*10^-17

deBroglie's wave length = h / (2*m*KE)^1/2 = 6.626*10^-34 / (2*4.96*10^-17* 9.1*10^-31 kg)^1/2

= 0.0696 nm

queen_honey_blossom answered 3 months ago

For the hydrogen atom, the transition from the 2p state to the 1s state is accompanied...

For the hydrogen atom, the transition from the 2p state to the 1s state is accompanied by the emission of a photon with an energy of 16.2×10-19 J. For a C atom, the same transition (2p to 1s) is accompanied by the emission of x-rays of wavelength 44.7 Å. What is the energy difference between these states in carbon? J The energy difference between these states in carbon is _________larger than smaller than about the same as the corresponding energy...

For the 1S to 2P (Lyman α) transitions in the hydrogen atom, calculate the total integrated...

For the 1S to 2P (Lyman α) transitions in the hydrogen atom, calculate the total integrated absorption cross section.

An electron in the hydrogen atom falls from the 2p to 1s state and a photon is emitted. What is the wavelength of the emitted photon (in nm)?

An electron in the hydrogen atom falls from the 2p to 1s state and a photon is emitted. What is the wavelength of the emitted photon (in nm)? Select one: a. 20 b. 91 c. 122 d. 364 e. 138

Like to a hydrogen-ion buffer, a metal-ion buffer tends to maintain a particular metal-ion concentration in...

Like to a hydrogen-ion buffer, a metal-ion buffer tends to maintain a particular metal-ion concentration in solution. By rough analogy between the equations, HA(aq) ⇌ H+(aq) + A−(aq) K = Ka and CaY2− ⇌ Ca2+ + "EDTA" K = K'f-1 determine the total mass of Na2EDTA·2H2O (FM 372.24) which must be dissolved, along with 2.15 g of Ca(NO3)2·2H2O (FM 200.13), in 500.0 mL of solution (acid-buffered at pH 9.24) to give a calcium-ion buffer with pCa2+ = 8.70? For the...

Enter your answer in the provided box in scientific notation. A hydrogen-like ion is an ion...

Enter your answer in the provided box in scientific notation. A hydrogen-like ion is an ion containing only one electron. The energy of the electron in a hydrogen-like ion is given by En = −(2.18 × 10−18J) Z2 (1/n2) where n is the principal quantum number and Z is the atomic number of the element. Plasma is a state of matter consisting of positive gaseous ions and electrons. In the plasma state, a mercury atom could be stripped of its...

The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths...

The He+ ion contains only one electron and is therefore a hydrogen-like ion. Calculate the wavelengths of the first four transitions in the Balmer series of the He+ ion. List your answers in increasing transition order by entering the wavelength that corresponds to the first transition on the left. (The Rydberg constant for He is 4.39 × 107 m−1 and the Rydberg constant for H is 1.097 × 107 m−1) Calculate these wavelengths for the same transitions in an H...

Which statements are true for an electron in the 1s orbital of hydrogen ? 1. The...

Which statements are true for an electron in the 1s orbital of hydrogen ? 1. The potential energy of the electron is negative. 2. The total energy of the electron is constant. 3. The kinetic energy of the electron is positive.

1.) What transition in He+ has the same frequency (disregarding mass diffrences) as the 2p ->...

1.) What transition in He+ has the same frequency (disregarding mass diffrences) as the 2p -> 1s Transition in H? 2.) The workfunction for metallic caesium is 2.14 eV. Calculate the kinetic energy and the speed of the electrons ejected by light of wavelength (a) 750 nm, (b) 250 nm.

How can you use the Hydrogen 21-cm line transition to measure the rotation curve of a...

How can you use the Hydrogen 21-cm line transition to measure the rotation curve of a galaxy?

Hydrogen with 1s^2 would be similar to what other elements? Is this element paramagnetic?

Question