$250 \mathrm{g}$ solution of $\mathrm{D}$-glucose in water contains $10.8\%$ of carbon by weight. The molality of the solution is nearest to (Given: Atomic Weights are $\mathrm{H}=1\mathrm{u}; \mathrm{C}=12 \mathrm{u}; \mathrm{O}=16 \mathrm{u}$)

In the following reaction

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The $\%$ yield for reaction $\mathrm{I}$ is $60\%$ and that of reaction II is $50\%$. The overall yield of the complete reaction is$\%$

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In the above reaction, $5 \mathrm{g}$ of toluene is converted into benzaldehyde with $92\%$ yield. The amount of benzaldehyde produced is____ $\times {10}^{-2} \mathrm{g}$

In the given reaction,

$\mathrm{X}+\mathrm{Y}+3\mathrm{Z}\rightleftarrows {\mathrm{XYZ}}_3$

if one mole of each of $\mathrm{X}$ and $\mathrm{Y}$ with $0.05 \mathrm{mol}$ of $\mathrm{Z}$ gives compound ${\mathrm{XYZ}}_3$. (Given : Atomic masses of $\mathrm{X},\mathrm{Y}$ and $\mathrm{Z}$ are 10,20 and $30\mathrm{amu}$, respectively). The yield of ${\mathrm{XYZ}}_3$ is____$\mathrm{g}$.

$$\begin{gathered} {\mathrm{N}}_{2\left(\mathrm{g}\right)}+3{\mathrm{H}}_{2\left(\mathrm{g}\right)}\rightleftharpoons 2{\mathrm{NH}}_{3\left(\mathrm{g}\right)} \\ 20 \mathrm{g} 5 \mathrm{g} \end{gathered}$$

Consider the above reaction, the limiting reagent of the reaction and number of moles of ${\mathrm{NH}}_3$ formed respectively are