In the following reaction sequence, M is a transition metal.

Identify the metal M and MCl$$_4$$. Explain the difference in colours of MCl$$_4$$ and A.

Given : that $${\mu _{obs}} = \sum {{\mu _i}\,{x_i}} $$ where $${\mu _i}$$ is the dipole moment of stable conformer and $${x_i}$$ is the mole fraction of that conformer.

(A) Write stable conformer for Z-CH$$_2$$-CH$$_2$$-Z in Newman's projection.

If $${\mu _{solution}}$$ = 1.0 D and mole fraction of anti-form = 0.82, find $${\mu _{Gauche}}$$.

(B) Write most stable meso conformer of

If (i) Y = CH$$_3$$ about C$$_2$$ - C$$_3$$ rotation and (ii) Y = OH about C$$_1$$ - C$$_2$$ rotation.

(A) Calculate $$\Delta_r G^\circ$$ of the following reaction

$$A{g^ + }(aq.) + C{l^ - }(aq.) \to AgCl(s)$$

Given :

$$\mathrm{\Delta_r G^\circ(AgCl)\quad-109~kJ/mole}$$

$$\mathrm{\Delta_r G^\circ(Cl^-)\quad-129~kJ/mole}$$

$$\mathrm{\Delta_r G^\circ(Ag^+)\quad-77~kJ/mole}$$

(i) Represent the above reaction in form of a cell.

(ii) Calculate E$$^\circ$$ of the cell.

(iii) Find $${\log _{10}}{K_{sp}}$$ of AgCl.

(B) If $$6.539\times10^{-2}$$ g of metallic Zn (amu = 65.39) was added to 100 mL of saturated solution of AgCl, then calculate $${\log _{10}} = {{[Z{n^{2 + }}]} \over {{{[A{g^ + }]}^2}}}$$. Also find how many moles of Ag will be formed.

Given that :

$$\mathrm{Ag^++e^-\to Ag\quad E^\circ=0.80~V}$$

$$\mathrm{Zn^{2+}+2e^-\to Zn\quad E^\circ=-0.76~V}$$

A person goes office either by car, scooter, bus or train, proability of which being $$\frac{1}{7}, \frac{3}{2}, \frac{2}{7}$$ and $$\frac{1}{7}$$, respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is $$\frac{2}{9}, \frac{1}{9}, \frac{4}{9}$$ and $$\frac{1}{9}$$, respectively. Given that he reached office in time, then what is the probability that he travelled by a car?