0.05M CuSO$_4$ when treated with 0.01M K$_2$Cr$_2$O$_7$ gives green colour solution of Cu$_2$Cr$_2$O$_7$. The \[ \text{[SPM : Semi Permeable Membrane]} \]\(K_2Cr_2O_7\) \(CuSO_4\) Side X SPM Side Y
Due to osmosis:
| \(K_2Cr_2O_7\) | \(CuSO_4\) | |
| Side X | SPM | Side Y |
Due to osmosis:
- Green colour formation observed on side Y.
- Green colour formation observed on side X.
- Molarity of\(K_2Cr_2O_7\)solution is lowered.
- Molarity of\(CuSO_4\)solution is lowered.
The Correct Option is D
Solution and Explanation
To address this problem, it is necessary to comprehend osmosis and its impact on the molarity of solutions separated by a semipermeable membrane (SPM).
The experimental setup is as follows:
| \(K_2Cr_2O_7\) | \(CuSO_4\) | |
| Side X | SPM | Side Y |
Side X contains \(K_2Cr_2O_7\), and Side Y contains \(CuSO_4\). Osmosis is defined as the movement of solvent molecules across a semipermeable membrane from an area of lower solute concentration to an area of higher solute concentration.
Let's examine the provided options:
- Formation of a green color on Side Y.
- Formation of a green color on Side X.
- Reduction in the molarity of the \(K_2Cr_2O_7\) solution.
- Reduction in the molarity of the \(CuSO_4\) solution.
Given that the solutions are separated by a semipermeable membrane, only the solvent (typically water) can migrate to equalize solute concentrations, not the solute itself. Consequently, any alteration in molarity resulting from osmosis would typically occur as a result of water moving from the side with the lower solute concentration to the side with the higher solute concentration, thereby diluting the latter solution.
In this specific context, osmosis will drive the movement of water from the \(K_2Cr_2O_7\) side (Side X) to the \(CuSO_4\) side (Side Y). This occurs because the \(CuSO_4\) solution is involved in the formation of the green complex \(Cu_2Cr_2O_7\), which effectively reduces its concentration.
Consequently, the molarity of the \(CuSO_4\) solution decreases as water moves into Side Y to achieve concentration equilibrium via osmosis.
The correct option is:
Molarity of \(CuSO_4\) solution is lowered.
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