To prepare a 0.1 N solution of K2Cr2O7, approximately 29.42 grams of the substance is required per liter. This calculation considers the molar mass and the definition of normality for the given compound.
To prepare a 0.1 N (Normal) solution of K2Cr2O7, you need to consider the molar mass and the definition of normality. The molar mass of K2Cr2O7 is 294.19 g/mol.
The formula for normality (N) is given by:
![\[ N = \frac{{\text{{Number of equivalents}}}}{{\text{{Volume of solution in liters}}}} \]](https://img.qammunity.org/2024/formulas/chemistry/college/4ss49htqua5pfg9f68dtmovj6vus7bznt2.png)
For K2Cr2O7, each mole provides 6 equivalents of
ions, as the oxidation state of chromium changes from +6 to +3. Therefore, the number of equivalents is 6 times the moles of K2Cr2O7.
Given that the desired normality is 0.1 N, you can set up the equation:
![\[ 0.1 \, \text{N} = \frac{{\text{{6 equivalents}}}}{{\text{{Volume in liters}}}} \]](https://img.qammunity.org/2024/formulas/chemistry/college/f9gpqo9t2t9aieabc58wxvn1wsy151lub3.png)
Solving for the volume in liters gives:
![\[ \text{{Volume}} = \frac{{\text{{Number of equivalents}}}}{{0.1 \, \text{N}}} = \frac{{6}}{{0.1}} = 60 \, \text{L} \]](https://img.qammunity.org/2024/formulas/chemistry/college/1racjbm4zxdr5hiozhimrutbrau0r4ygfd.png)
Now, convert liters to milliliters (1 L = 1000 mL):
![\[ \text{{Volume in mL}} = 60 \, \text{L} * 1000 \, \text{mL/L} = 60000 \, \text{mL} \]](https://img.qammunity.org/2024/formulas/chemistry/college/an4jj0n58flhqff7fese8lfe23cpot39lp.png)
Finally, calculate the mass using the molar mass:
![\[ \text{{Mass}} = \text{{Number of moles}} * \text{{Molar mass}} \]](https://img.qammunity.org/2024/formulas/chemistry/college/xqmjqcwlu4ds3nerx0rnfi7rdl946hazte.png)
![\[ \text{{Mass}} = 0.1 \, \text{mol/L} * 294.19 \, \text{g/mol} = 29.419 \, \text{g/L} \]](https://img.qammunity.org/2024/formulas/chemistry/college/sa62308t9se1glxc4jmtihyc1vuqsb5bzt.png)
For 1 liter, you need 29.419 grams of K2Cr2O7. Therefore, for 1 liter of a 0.1 N solution, you would require approximately 29.42 grams of K2Cr2O7.
Note: Calculations are based on ideal conditions, and it's advisable to weigh the substance accurately and perform experimental verification for precise results.
The probable question may be:
How many grams of k2cr2o7 substance are required to make one litre of 0.1 n solution?