Chemistry, 01.07.2020 22:01 corinnerodriguez2001

A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.57 nm. It then gives off a photon having a wavelength of 954.3 nm. What is the final state of the hydrogen atom? Values for physical constants can be found in g

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Answer from: tiffanibell71

the final state of the hydrogen atom = 3

Explanation:

From the given information;

Let first calculate the amount of energy by the ground state atom during the atoms absorbs photon light by using the formula:

$E_{absorbs} = \dfrac{hc}{\lambda}$

where;

h = planck's constant = $6.626*10^{-34 }\ \ Js$

c = speed of light = $3.0*10^8 \ \ m/s$

λ = wavelength = 92.57 nm = 92.57 × 10⁻⁹ m

$E_{absorbs} = \dfrac{6.626*10^{-34 }\ \ Js * 3.0*10^8 \ \ m/s}{92.57*10^{-9} \ \ m}$

$E_{absorbs} = 2.15 *10^{-18} \ J$

The energy emitted by the hydrogen atom is calculated by using the same formula from above ; but here , the wavelength λ = 954.3 nm = 954.3 × 10⁻⁹ m

$E_{absorbs} = \dfrac{6.626*10^{-34 }\ \ Js * 3.0*10^8 \ \ m/s}{954.3*10^{-9} \ \ m}$

$E_{absorbs} = 2.08 *10^{-19} \ J$

The change in the energy absorbed is:

$\Delta E= 2.15 *10^{-18} \ J - 2.08 *10^{-19} \ J$

$\Delta E= 1.94 *10^{-18} \ J$

The final state of the atom can be determined by using the relation:

$\Delta E = R_H [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}]$

where;

R_H = Rydberg constant = 2.18 × 10⁻¹⁸ J

$\dfrac{\Delta E}{R_H} = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ \dfrac{1.94*10^{-18} \ J}{2.18*10^{-18} \ J } = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ 0.889 = [\dfrac{1}{1^2}-\dfrac{1}{n^2_f}] \\ \\ \\ 1 - 0.889 = \dfrac{1}{n^2_f} \\ \\ \\ 0.111= \dfrac{1}{n^2_f} \\ \\ \\ {n^2_f} = \dfrac{1}{0.111} \\ \\ \\ {n^2_f} = 9 \\ \\ \\ {n_f} = \sqrt{9} \\ \\ \\ \mathbf{n_f = 3}$

Thus; the final state of the hydrogen atom = 3

Answer from: Quest

a is the answer to this question

explanation:

Answer from: Quest

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.

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A ground state hydrogen atom absorbs a photon of light having a wavelength of 92.57 nm. It then give...

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