Given below are two statements:
Statement I: In the oxalic acid vs KMnO$_4$ (in the presence of dil H$_2$SO$_4$) titration the solution needs to be heated initially to 60°C, but no heating is required in Ferrous ammonium sulphate (FAS) vs KMnO$_4$ titration (in the presence of dil H$_2$SO$_4$).
Statement II: In oxalic acid vs KMnO$_4$ titration, the initial formation of MnSO$_4$ takes place at high temperature, which then acts as catalyst for further reaction. In the case of FAS vs KMnO$_4$, heating oxidizes Fe$^{2+}$ into Fe$^{3+}$ by oxygen of air and error may be introduced in the experiment.
In the light of the above statements, choose the correct answer from the options given below:
Statement I:
In the oxalic acid vs $ KMnO_4 $ titration (in the presence of dilute $ H_2SO_4 $), the solution needs to be heated initially to $ 60^\circ C $. However, no heating is required in the Ferrous Ammonium Sulphate (FAS) vs $ KMnO_4 $ titration under similar conditions.
This statement is true.
In the titration of oxalic acid with $ KMnO_4 $, heating to around $ 60^\circ C $ is required to initiate the reaction because it is relatively slow at room temperature.
In contrast, the reaction between $ KMnO_4 $ and FAS is fast even at room temperature, so no initial heating is necessary.
Statement II:
In oxalic acid vs $ KMnO_4 $ titration, the initial formation of $ Mn^{2+} $ takes place at high temperature, which then acts as a catalyst (autocatalyst) for the further reaction. In the case of FAS vs $ KMnO_4 $, heating may cause oxidation of $ Fe^{2+} $ to $ Fe^{3+} $ by atmospheric oxygen, introducing errors in the experiment.
This statement is also true.
In the oxalic acid titration, the $ Mn^{2+} $ ions formed during the reaction act as an autocatalyst, increasing the reaction rate after some time. Since the initial formation of $ Mn^{2+} $ is slow, heating is required to speed up the process.
In the FAS titration, heating may lead to aerial oxidation of $ Fe^{2+} $ to $ Fe^{3+} $, which can interfere with accurate titration results.
Conclusion:
Both Statement I and Statement II are true.
Final Answer:
The final answer is $ \ \text{Both Statement I and Statement II are true} $.
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\(^{-2}\).

Method used for separation of mixture of products (B and C) obtained in the following reaction is: 