For complete combustion of ethene.

$$\mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{g})+3 \mathrm{O}_{2}(\mathrm{g}) \rightarrow 2 \mathrm{CO}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})$$

the amount of heat produced as measured in bomb calorimeter is $$1406 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ at $$300 \mathrm{~K}$$. The minimum value of $$\mathrm{T} \Delta \mathrm{S}$$ needed to reach equilibrium is ($$-$$) _________ $$\mathrm{kJ}$$. (Nearest integer)

Given : $$\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$$

The number of atomic orbitals from the following having 5 radial nodes is ___________.

$$7 \mathrm{s}, 7 \mathrm{p}, 6 \mathrm{s}, 8 \mathrm{p}, 8 \mathrm{d}$$

The sum of oxidation state of the metals in $$\mathrm{Fe}(\mathrm{CO})_{5}, \mathrm{VO}^{2+}$$ and $$\mathrm{WO}_{3}$$ is ___________.

The number of incorrect statements from the following is ___________.

A. The electrical work that a reaction can perform at constant pressure and temperature is equal to the reaction Gibbs energy.

B. $$\mathrm{E_{cell}^{\circ}}$$ cell is dependent on the pressure.

C. $$\frac{d E^{\theta} \text { cell }}{\mathrm{dT}}=\frac{\Delta_{\mathrm{r}} \mathrm{S}^{\theta}}{\mathrm{nF}}$$

D. A cell is operating reversibly if the cell potential is exactly balanced by an opposing source of potential difference.