Consider the following single step reaction in gas phase at constant temperature.

$$2 \mathrm{~A}_{(\mathrm{g})}+\mathrm{B}_{(\mathrm{g})} \rightarrow \mathrm{C}_{(\mathrm{g})}$$

The initial rate of the reaction is recorded as $$\mathrm{r}_1$$ when the reaction starts with $$1.5 \mathrm{~atm}$$ pressure of $$\mathrm{A}$$ and $$0.7 \mathrm{~atm}$$ pressure of B. After some time, the rate $$r_2$$ is recorded when the pressure of C becomes $$0.5 \mathrm{~atm}$$. The ratio $$\mathrm{r}_1: \mathrm{r}_2$$ is _________ $$\times 10^{-1}$$. (Nearest integer)

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products $$\mathrm{A}$$ and $$\mathrm{B}$$ along with the evolution of $$\mathrm{CO}_2$$. The sum of spin-only magnetic moment values of A and B is _________ B.M. (Nearest integer)

[Given atomic number : $$\mathrm{C}: 6, \mathrm{Na}: 11, \mathrm{O}: 8, \mathrm{Fe}: 26, \mathrm{Cr}: 24$$]

In the Claisen-Schmidt reaction to prepare $$351 \mathrm{~g}$$ of dibenzalacetone using $$87 \mathrm{~g}$$ of acetone, the amount of benzaldehyde required is _________ g. (Nearest integer)

Combustion of 1 mole of benzene is expressed at

$$\mathrm{C}_6 \mathrm{H}_6(\mathrm{l})+\frac{15}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow 6 \mathrm{CO}_2(\mathrm{~g})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \text {. }$$

The standard enthalpy of combustion of $$2 \mathrm{~mol}$$ of benzene is $$-^{\prime} x^{\prime} \mathrm{kJ}$$. $$x=$$ __________.

Given :

1. standard Enthalpy of formation of $$1 \mathrm{~mol}$$ of $$\mathrm{C}_6 \mathrm{H}_6(\mathrm{l})$$, for the reaction $$6 \mathrm{C}$$ (graphite) $$+3 \mathrm{H}_2(\mathrm{g}) \rightarrow \mathrm{C}_6 \mathrm{H}_6(\mathrm{l})$$ is $$48.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$$.

2. Standard Enthalpy of formation of $$1 \mathrm{~mol}$$ of $$\mathrm{CO}_2(\mathrm{g})$$, for the reaction $$\mathrm{C}$$ (graphite) $$+\mathrm{O}_2(\mathrm{g}) \rightarrow \mathrm{CO}_2(\mathrm{g})$$ is $$-393.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$$.

3. Standard and Enthalpy of formation of $$1 \mathrm{~mol}$$ of $$\mathrm{H}_2 \mathrm{O}(\mathrm{l})$$, for the reaction $$\mathrm{H}_2(\mathrm{g})+\frac{1}{2} \mathrm{O}_2(\mathrm{g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{l})$$ is $$-286 \mathrm{~kJ} \mathrm{~mol}^{-1}$$.