Consider the reaction sequence from $\mathrm{P}$ to $\mathrm{Q}$ shown below. The overall yield of the major product $\mathrm{Q}$ from $\mathrm{P}$ $75\%.$ What is the amount in grams of $\mathrm{Q}$ obtained from $9.3 \mathrm{mL}$ $\mathrm{P}$? (Use density of $=1.00{\text{\hspace{0.33em}g\hspace{0.33em}mL}}^{-1};$ Molar mass of $\mathrm{C}=12.0,\mathrm{H}=1.0,\mathrm{O}=16.0$ and $\mathrm{N}=14.0 \mathrm{g} {\mathrm{mol}}^{-1}$)

Consider the reaction $\mathrm{A}\rightleftharpoons \mathrm{B}$ at $1000\mathrm{K}$. At time ${\mathrm{t}}^{\text{'}}$, the temperature of the system was increased to $2000\mathrm{K}$ and the system was allowed to reach equilibrium. Throughout this experiment the partial pressure of $\mathrm{A}$ was maintained at $1$ bar. Given below is the plot of the partial pressure of $\mathrm{B}$ with time. What is the ratio of the standard Gibbs energy of the reaction at $1000\mathrm{K}$ to that at $2000\mathrm{K}$?

Electrolysis of dilute aq. \(\mathrm{NaCl}\) solution was carried out by passing \(10 \mathrm{~mA}\) current. The time required to liberate \(0.01\) mole of \(\mathrm{H}_2\) gas at the cathode is (1 Faraday \(=96500 \mathrm{C} \mathrm{mol}^{-1}\) )

Extraction of metal from the ore cassiterite involves

The total number of diprotic acids among the following is
\(\begin{array}{lll}\mathrm{H}_3 \mathrm{PO}_4 & \mathrm{H}_2 \mathrm{SO}_4 & \mathrm{H}_3 \mathrm{PO}_3 \\ \mathrm{H}_2 \mathrm{CO}_3 & \mathrm{H}_2 \mathrm{~S}_2 \mathrm{O}_7 & \mathrm{H}_3 \mathrm{BO}_3 \\ \mathrm{H}_3 \mathrm{PO}_2 & \mathrm{H}_2 \mathrm{CrO}_4 & \mathrm{H}_2 \mathrm{SO}_3\end{array}\)

An aqueous solution is prepared by dissolving $0.1$ mole of an ionic salt in $1.8 \mathrm{kg}$ of water at $35°\mathrm{C}$. The salt remains $90\%$ dissociated in the solution. The vapour pressure of the solution is $59.724 \mathrm{mm}$ of $\mathrm{Hg}$. Vapor pressure of water at $35°\mathrm{C}$ is $60.000 \mathrm{mm}$ of $\mathrm{Hg}$. The number of ions present per formula unit of the ionic salt is _____.

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The reaction of compound \(\mathbf{P}\) with \(\mathrm{CH}_{3} \mathrm{MgBr}\) (excess) in \(\left(\mathrm{C}_{2} \mathrm{H}_{5}\right)_{2} \mathrm{O}\) followed by addition of \(\mathrm{H}_{2} \mathrm{O}\) gives \(\mathbf{Q}\). The compound \(\mathbf{Q}\) on treatment with \(\mathrm{H}_{2} \mathrm{SO}_{4}\) at \(0^{\circ} \mathrm{C}\) gives \(\mathbf{R}\). The reaction of \(\mathbf{R}\) with \(\mathrm{CH}_{3} \mathrm{COCl}\) in the presence of anhydrous \(\mathrm{AlCl}_{3}\) in \(\mathrm{CH}_{2} \mathrm{Cl}_{2}\) followed by treatment with \(\mathrm{H}_{2} \mathrm{O}\) produces compound \(\mathbf{S}\). [Et in compound \(\mathbf{P}\) is ethyl group]


Question :
The reactions, \(\mathbf{Q}\) to \(\mathbf{R}\) and \(\mathbf{R}\) to \(\mathbf{S}\), are

With respect to the compounds$\mathrm{I}-\mathrm{V}$choose the correct statement(s).

Among the following, the number of aromatic compound (s) is/are

In the following reaction sequence, the major product \(\mathbf{P}\) is formed.

Glycerol reacts completely with excess \(\mathbf{P}\) in the presence of an acid catalyst to form \(\mathbf{Q}\). Reaction of \(\mathbf{Q}\) with excess \(\mathrm{NaOH}\) followed by the treatment with \(\mathrm{CaCl}_2\) yields Ca-soap \(\mathbf{R}\), quantitatively. Starting with one mole of \(\mathbf{Q}\), the amount of \(\mathbf{R}\) produced in gram is ________.
[Given, atomic weight: \(\mathrm{H}=1, \mathrm{C}=12,\) \(\mathrm{~N}=14, \mathrm{O}=16, \mathrm{Na}=23, \mathrm{Cl}=35,\) \(\mathrm{Ca}=40\)]

Consider the functions $f,g:\mathrm{ℝ}\to \mathrm{ℝ}$ defined by $f\left(x\right)=x^2+\frac{5}{12}$ and $g\left(x\right)=\left\{\begin{array}{cc}2\left(1-\frac{4\left|x\right|}{3}\right),& \left|x\right|\le \frac{3}{4},\\ 0,& \left|x\right|>\frac{3}{4}\end{array}\right.$
If $\alpha$ is the area of the region $\left\{\left(x,y\right)\in \mathrm{ℝ}\times \mathrm{ℝ}:\left|x\right|\le \frac{3}{4},0\le y\le \min \left\{f\left(x\right),g\left(x\right)\right\}\right\}$, then the value of $9\alpha$ is _____ .

An organic compound undergoes first-order decomposition. The time taken for its decomposition to \(1 /\) 8 and \(1 / 10\) of its initial concentration are \(t_{1 / 8}\) and \(t_{1 / 10}\) respectively. What is the value of \(\left[\frac{t_{1 / 8}}{t_{1 / 10}}\right] \times 10\) ? \(\left(\log _{10} 2=0.3\right)\)

Sulfide ores are common for the metals