\(K_2Cr_2O_7\) | \(CuSO_4\) | |
Side X | SPM | Side Y |
Due to osmosis, the solvent molecules from side Y (CuSO4) diffuse across the semi-permeable membrane (SPM) into side X (K2Cr2O7). This dilution effect causes the molarity of the CuSO4 solution (side Y) to decrease over time.
Thus the correct answer is Option 4.
Given below are two statements:
Statement (I): Molal depression constant $ k_f $ is given by $ \frac{M_1 R T_f}{\Delta S_{\text{fus}}} $, where symbols have their usual meaning.
Statement (II): $ k_f $ for benzene is less than the $ k_f $ for water.
In light of the above statements, choose the most appropriate answer from the options given below:
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.