Pergunta

Palladium (II) and gold (III) can be analyzed simultaneously through reaction with methiomeprazine (mathrm(C)_(19) mathrm(H)_(24) mathrm(~N)_(2) mathrm(~S)_(2)) . The absorption maximum for the Pd complex occurs at 480 mathrm(~nm) , while that for the Au complex is at 635 mathrm(~nm) . Molar absorptivity data at these wavelengths are & multicolumn(2)(c)( Molar Absorptivity, boldsymbol(e) ) cline ( 2 - 3 ) & 480 mathrm(~nm) & 635 mathrm(~nm) Pd complex & 3.55 times 10^3 & 5.64 times 10^2 Au complex & 2.96 times 10^3 & 1.45 times 10^4 A 25.0-mL sample was treated with an excess of methiomeprazine and subsequently diluted to 50.0 mathrm(~mL) . Calculate the molar concentrations of mathrm(Pd)(mathrm(II)), mathrm(C)_(mathrm(Pd) mathrm(d)) and mathrm(Au)(mathrm(III)), mathrm(C)_(mathrm(Au)) , in the sample if the diluted solution had an absorbance of 0.533 at 480 mathrm(~nm) and 0.590 mathrm(at) 635 mathrm(~nm) when measured in a 1.00-mathrm(cm) cell. (mathrm(C)_(mathrm(Dd))=3.60 times 10^-5 mathrm(M), mathrm(C)_(mathrm(Au))=2.4 times 10^-4 mathrm(M))
Solução

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###
Explicação
## Step1: Calculate the Molar Concentration of Pd Complex
### To find the molar concentration of the Palladium (Pd) complex, we use Beer-Lambert Law, which states that , where is absorbance, is molar absorptivity, is concentration, and is the path length. Rearranging gives us . For the Pd complex at 480 nm:
- Absorbance
- Molar absorptivity
- Path length
Substituting these values into the equation:
## Step2: Calculate the Molar Concentration of Au Complex
### Similarly, for the Gold (Au) complex at 635 nm, we apply the same formula:
- Absorbance
- Molar absorptivity
Substituting these values into the equation:
## Step3: Adjust for Dilution
### Since the sample was diluted from 25.0 mL to 50.0 mL, we need to account for this dilution factor of 2. Therefore, the final concentrations will be:
Now, let's calculate the values.
### Calculation for Pd:
Thus,
### Calculation for Au:
Thus,
### To find the molar concentration of the Palladium (Pd) complex, we use Beer-Lambert Law, which states that , where is absorbance, is molar absorptivity, is concentration, and is the path length. Rearranging gives us . For the Pd complex at 480 nm:
- Absorbance
- Molar absorptivity
- Path length
Substituting these values into the equation:
## Step2: Calculate the Molar Concentration of Au Complex
### Similarly, for the Gold (Au) complex at 635 nm, we apply the same formula:
- Absorbance
- Molar absorptivity
Substituting these values into the equation:
## Step3: Adjust for Dilution
### Since the sample was diluted from 25.0 mL to 50.0 mL, we need to account for this dilution factor of 2. Therefore, the final concentrations will be:
Now, let's calculate the values.
### Calculation for Pd:
Thus,
### Calculation for Au:
Thus,
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