Step 1: Analyze each compound to identify tetrahedral geometry.
1. \([Co(CN)_4]^{4-}\): CN is a strong ligand. Due to pairing, it undergoes \(sp^3\) hybridization, forming a tetrahedral structure.
2. \([Co(CO)_3(NO)]\): This forms a trigonal planar geometry due to the coordination environment.
3. \(XeF_4\): Square planar geometry, not tetrahedral.
4. \([PCl_4]^+\): Tetrahedral geometry due to \(sp^3\) hybridization.
5. \([PdCl_4]^{2-}\): Square planar geometry.
6. \([ICl_4]^-\): Square planar geometry.
7. \([Cu(CN)_4]^{3-}\): CN being a strong ligand leads to \(sp^3\) hybridization, hence tetrahedral.
8. \(P_4\): Tetrahedral geometry due to its molecular structure.
Step 2: Count the species with tetrahedral geometry.
Tetrahedral species: \([Co(CN)_4]^{4-}\), \([PCl_4]^+\), \([Cu(CN)_4]^{3-}\), and \(P_4\).
Step 3: Final answer. The total number of tetrahedral species is: \[ 5 \]
The monomer (X) involved in the synthesis of Nylon 6,6 gives positive carbylamine test. If 10 moles of X are analyzed using Dumas method, the amount (in grams) of nitrogen gas evolved is ____. Use: Atomic mass of N (in amu) = 14
The correct match of the group reagents in List-I for precipitating the metal ion given in List-II from solutions is:
List-I | List-II |
---|---|
(P) Passing H2S in the presence of NH4OH | (1) Cu2+ |
(Q) (NH4)2CO3 in the presence of NH4OH | (2) Al3+ |
(R) NH4OH in the presence of NH4Cl | (3) Mn2+ |
(S) Passing H2S in the presence of dilute HCl | (4) Ba2+ (5) Mg2+ |
Match List I with List II:
Choose the correct answer from the options given below:
A temperature difference can generate e.m.f. in some materials. Let $ S $ be the e.m.f. produced per unit temperature difference between the ends of a wire, $ \sigma $ the electrical conductivity and $ \kappa $ the thermal conductivity of the material of the wire. Taking $ M, L, T, I $ and $ K $ as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $ Z = \frac{S^2 \sigma}{\kappa} $ is:
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.