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The complex that is formed between gallium (III) and 8-hydroxyquinoline has an absorption maximum of 483nm. A 0.0089M solution of the complex has a transmittance of...

Question

The complex that is formed between gallium (III) and 8-hydroxyquinoline has an absorption maximum of 483nm. A 0.0089M solution of the complex has a transmittance of 18% when measured in a 1.00-cm cell at this wavelength. Calculate the molar absorptivity of the complex.Write answer in decimal form to one decimal place.

The complex that is formed between gallium (III) and 8-hydroxyquinoline has an absorption maximum of 483nm. A 0.0089M solution of the complex has a transmittance of 18% when measured in a 1.00-cm cell at this wavelength. Calculate the molar absorptivity of the complex.Write answer in decimal form to one decimal place.



Answers

The absorption spectrum of the complex ion $\left[\mathrm{Rh}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}$ has maximum absorbance at 295 $\mathrm{nm}$ . Calculate the crystal field splitting energy (in $\mathrm{k} / / \mathrm{mol} )$ for this ion.

So trans mittens and absorbent are inversely related, so we can calculate the concentrations of cobalt by taking their corresponding Mahler extinction coefficient values and their wavelengths. So we have C is equal to a over e l so cold, but with a wavelength of 510 under meters, we have concentration is equal to 9.446 Divide that by 36400 multiplied by 9.1 That's equal to 1.22 times 10 to the minus. Five more Podesto meats are cute. Next we have 656 nanometers is equal to not point 446 Do I do that by 1 to 40 times 1.0? That's equal to 3.596 times 10 to the minus four most protesters meters. Next we have a nickel to look at. So we've got nickel with a wavelength of 5 10 nanometers. So we have concentration is equal to 9.3 to 6. Invited by 45 to 0, multiplied by 1.0 the length 4 to 5.905 times 10 to the minus five malls decimates a cubed. Next we have neck all the way, but 656 nanometers concentration is able to not 0.3 to 6 by that by 17500 multiplied by 1.0. That gives us a body of 1.862 times 10 to the minus five malls Podesta Meter Cube.

Coordination chemistry is the study of compounds that have a central atom which are often metallic surrounded by molecules or an island known as ligand. So we're looking for the calculation for the energy of one photon. So we have 182 Times 10 to the three jewels divided by 6.02 times 10 to the 23 photons. Where Delta E. is equal to 3.02, 3 times 10 to the -19 joules per photo. And so to calculate the wavelengths, we need the following equation, Delta E. Is equal to Planck's constant, multiplied by the speed of light, divided by the wavelength where we re arrange for wavelength. That's what we have. Is Planck's constant speed of light divided by delta E. And so these two values plants constant of the speed of light. We know already these are constants. These are values that are often given to us in exams have a delta eat is what we just calculated up here. Yeah. So we simply plug these values into our equation that we have listed here to get a wavelength of 657, not the following 657 0.5 nanometers. Yeah. And so the expected wavelength of 657.5 nanometers will light in the visible range of the spectrum, and so the complex is colored.

Coordination chemistry is the study of compounds that have a central atom which are often metallic surrounded by molecules or an island known as ligand. So we're looking for the calculation for the energy of one photon. So we have 182 Times 10 to the three jewels divided by 6.02 times 10 to the 23 photons. Where Delta E. is equal to 3.02, 3 times 10 to the -19 joules per photo. And so to calculate the wavelengths, we need the following equation, Delta E. Is equal to Planck's constant, multiplied by the speed of light, divided by the wavelength where we re arrange for wavelength. That's what we have. Is Planck's constant speed of light divided by delta E. And so these two values plants constant of the speed of light. We know already these are constants. These are values that are often given to us in exams have a delta eat is what we just calculated up here. Yeah. So we simply plug these values into our equation that we have listed here to get a wavelength of 657, not the following 657 0.5 nanometers. Yeah. And so the expected wavelength of 657.5 nanometers will light in the visible range of the spectrum, and so the complex is colored.

Humor has to calculate the crystal feels putting energy of this metal complex, given that its maximum sorcerer that wavelength, is 295 centimeters. To do that, we're gonna need this equation where we have crystal feel spring energy multiplied is equal to plants constant times the speed of light divided by the weight life. So again, that's again. That's plants constant attempts of speed, of light divided by the wavelength. I apologize that the wrong variable there, this is equal to the crystal field splitting. So now I'm gonna plug in these values go after planks. Constant 6.626 times 10 to the negative, 34th jewels two seconds and that is multiplied times the speed of light which is three times meters per second, divided by the wavelength which is given a nanometer. So this is 295 nanometers. But remember that a Nana meter is 10 to the minus nine meters people to one animator. So instead of writing to 95 man army or something right to 95 since the negative nine meters, please listen to the calculator. I'll find that, um, the energy is equal to 6.74 times 10 to the negative. 19 to acquit. Unit check. Got meters, leaders. Seconds and seconds. This is units of Jules. Well, that looks like a really small value for energy. And that is because this is the energy for a single eye on making this transition. So this is Jules for everyone. Ion. But what we need is the energy in units of killer Jules Perm. Or if I had a whole mole of these rhodium where with that energy be. So for that I need to take us energy for a single ion since the negative 18 jewels for everyone I on and multiply it. Times are the voters in my daughter's number 6.2 sense of 23rd ions for every one mole of Iowans. So that takes care of my more units and call them being asked particular jewels. So to change jewels into killer Jules, I need to divide by 1000 because one killer jewel contains 1000 cools again to a quick, you know, check got ions and my aunts, jewels and Jules, we're gonna be left with units of killer jewels for mole. And when I type this into my calculator, I should get 407 killer Jules. No,


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