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Grade 12th passInorganic Chemistry

2ml K2Cr2O7 = 3ml KHC2O4.Since H2C2O4=1.5 mL NaOH = 0.075 mmol is ecivalent to H2SO4, calculate the percentage of FEO corresponding to each mL of k2cr2o7 solution in the iron sprout of 0.6 g.

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5 Years agoGrade 12th pass
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ApprovedApproved Tutor Answer11 Months ago

To tackle this problem, we need to break it down into manageable parts. We are given a reaction involving potassium dichromate (K2Cr2O7) and potassium hydrogen oxalate (KHC2O4), and we need to find the percentage of iron (FeO) corresponding to each milliliter of K2Cr2O7 solution in a sample of iron sprout weighing 0.6 g. Let's go through the calculations step by step.

Understanding the Reaction

The reaction between K2Cr2O7 and KHC2O4 is a redox reaction where K2Cr2O7 acts as an oxidizing agent. In this reaction, the dichromate ion (Cr2O7^2-) is reduced, while the oxalate ion (C2O4^2-) is oxidized. The stoichiometry of the reaction is crucial for our calculations.

Stoichiometry of the Reaction

From the information provided, we have:

  • 2 mL of K2Cr2O7 reacts with 3 mL of KHC2O4.
  • 1.5 mL of NaOH is equivalent to 0.075 mmol of H2SO4.

To find the moles of K2Cr2O7, we first need to determine the molarity of the K2Cr2O7 solution. However, since we don’t have the molarity directly, we can use the stoichiometric ratios to find the moles of K2Cr2O7 based on the volume used.

Calculating Moles of K2Cr2O7

Let’s assume the concentration of K2Cr2O7 is C mol/L. The moles of K2Cr2O7 in 2 mL can be calculated as follows:

Moles of K2Cr2O7 = C × (2 mL / 1000 mL)

For KHC2O4, we can use the same approach. The moles of KHC2O4 in 3 mL would be:

Moles of KHC2O4 = C' × (3 mL / 1000 mL)

From the stoichiometry of the reaction, we can derive the relationship between the moles of K2Cr2O7 and KHC2O4. The balanced equation typically shows a 1:1 ratio, but we need to confirm this based on the specific reaction conditions.

Finding the Moles of Iron

Next, we need to relate the moles of K2Cr2O7 to the amount of iron in the sample. Given that the total weight of the iron sprout is 0.6 g, we can calculate the moles of iron (Fe) using its molar mass (approximately 55.85 g/mol):

Moles of Fe = 0.6 g / 55.85 g/mol

Now, we can find the total moles of Fe in the sample.

Calculating the Percentage of FeO

To find the percentage of FeO corresponding to each mL of K2Cr2O7 solution, we need to convert moles of Fe to moles of FeO. The molar mass of FeO is approximately 71.84 g/mol. Thus, the moles of FeO can be calculated as:

Moles of FeO = Moles of Fe

Now, to find the mass of FeO:

Mass of FeO = Moles of FeO × 71.84 g/mol

Finally, the percentage of FeO in the iron sprout can be calculated using the formula:

Percentage of FeO = (Mass of FeO / Total mass of iron sprout) × 100%

Final Calculation

Substituting the values into the equations will give you the percentage of FeO corresponding to each mL of K2Cr2O7 solution. Make sure to perform each step carefully, ensuring that you maintain the correct units throughout the calculations.

In summary, by understanding the stoichiometry of the reaction and performing the necessary calculations, you can determine the percentage of FeO in your sample based on the K2Cr2O7 solution used. If you have any specific values for the concentrations or need further assistance with the calculations, feel free to ask!