
We start with benzene (\(C_6H_6\)) and follow the sequence of reactions:
From the sequence, we understand that compound (E) contains nitrogen as a result of the nitration and reduction reactions. We now focus on the nitrogen-containing part of the final compound.
As per the reaction diagram and chemical knowledge, compound (E) will contain nitrogen atoms in its structure. The next step is to determine the number of moles of nitrogen in compound (E) based on the molecular weight of the compound and the percentage composition.
To find the percentage of nitrogen, we use the formula:
\(\text{Percentage of nitrogen} = \frac{\text{Mass of nitrogen in compound}}{\text{Molar mass of compound (E)}} \times 100\)
The molecular weight of compound (E) can be calculated from its constituent elements. Let’s break down the atomic weights:
After calculating the molar mass of compound (E), we find that the percentage of nitrogen in it is approximately:
\(20.29\%\)
The percentage of nitrogen in compound (E) is found to be 20.29% based on the sequence of reactions and the molecular weights of the compounds involved.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]
A small block of mass \(m\) slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration \(a_0\). The angle between the inclined plane and ground is \(\theta\) and its base length is \(L\). Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is _______. 