The balanced reaction between KMnO\(_4\) and ferrous ammonium sulfate in the presence of H\(_2\)SO\(_4\) is:
\[
2 \, \text{KMnO}_4 + 10 \, \text{Fe}^{2+} + 8 \, \text{H}_2\text{SO}_4 \rightarrow 2 \, \text{Mn}^{2+} + 10 \, \text{Fe}^{3+} + 8 \, \text{H}_2\text{O} + \text{K}_2\text{SO}_4 + 2\text{H}_2\text{SO}_4.
\]
This equation shows that for every 2 molecules of KMnO\(_4\), 8 molecules of water are produced.
Thus, for 2 molecules of KMnO\(_4\), the total number of water molecules produced is:
\[
8 \, \text{water molecules}.
\]
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$) 
Two circular discs of radius \(10\) cm each are joined at their centres by a rod, as shown in the figure. The length of the rod is \(30\) cm and its mass is \(600\) g. The mass of each disc is also \(600\) g. If the applied torque between the two discs is \(43\times10^{-7}\) dyne·cm, then the angular acceleration of the system about the given axis \(AB\) is ________ rad s\(^{-2}\).
