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nikdorinn [45]
1 year ago
7

you do a calculation on a molecule and determined that the energy of the highest occupied molecular orbital (homo) is -2.42 hart

ree, and the energy of the lowest unoccupied molecular orbital (lumo) is 0.65 hartree. what is the wavelength of the photon required to excite this molecule from its ground state, to its first excited state?
Chemistry
1 answer:
UkoKoshka [18]1 year ago
4 0

The wavelength of the photon required to excite this molecule from its ground state, to its first excited state is 1240 nm.

This is given by the equation:

wavelength = hc/(E_homo - E_lumo)

where h is Planck's constant =6.626070 * 10^-34 J.m , c is the speed of light = 3.0 x 10^8 m/s^2, and E_homo and E_lumo are the energies of the highest occupied molecular orbital and the lowest unoccupied molecular orbital, respectively.

In this particular case, the wavelength of the required photon would be:

wavelength = hc/(-2.42 hartree - 0.65 hartree)

= 6.626070 * 10^-34 X 3.0 x 10^8 / (-3.07)

= 1240 nm

Hence , The wavelength of the photon required to excite this molecule from its ground state, to its first excited state is 1240 nm.

Learn more about wavelength at : brainly.com/question/13533093

#SPJ4

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Answer : The order of process from (1) the least work done by the system to (5) the most work done by the system will be:

(1) < (5) < (3) < (4) < (2)

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w=-p_{ext}dV\\\\w=-p_{ext}(V_2-V_1)

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p_{ext} = external pressure

V_1 = initial volume of gas

V_2 = final volume of gas

<u>The expression used for work done in reversible isothermal expansion will be,</u>

w=-nRT\ln (\frac{V_2}{V_1})

where,

w = work done = ?

n = number of moles of gas = 1 mole

R = gas constant = 8.314 J/mole K

T = temperature of gas = 25^oC=273+25=298K

V_1 = initial volume of gas

V_2 = final volume of gas

First we have to determine the work done for the following process.

(1) An isothermal expansion from 1 L to 10 L at an external pressure of 2.5 atm.

w=-p_{ext}(V_2-V_1)

w=-(2.5atm)\times (10-1)L

w=-22.5L.atm=-22.5\times 101.3J=-2279.25J

(2) A free isothermal expansion from 1 L to 100 L.

w=-nRT\ln (\frac{V_2}{V_1})

w=-1mole\times 8.314J/moleK\times 298K\times \ln (\frac{100L}{1L})

w=-11409.6J

(3) A reversible isothermal expansion from 0.5 L to 4 L.

w=-nRT\ln (\frac{V_2}{V_1})

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w=-(0.5atm)\times (100-1)L

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(1) < (5) < (3) < (4) < (2)

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