What is a rate determining step?
In a multi-step chemical reaction, the rate-determining step is the slowest elementary step in the reaction pathway. It acts as a bottleneck for the entire reaction process, meaning that the overall rate of the reaction is limited by the rate at which this step proceeds.
This step typically:
Therefore, even if the subsequent steps are fast, the reaction cannot proceed faster than the rate-determining step allows. Understanding which step this is can help chemists control and optimize reaction rates in practical applications such as industrial synthesis and catalysis.
Describe the method of preparation of potassium permanganate. How does acidic potassium permanganate react with the following? Give ionic equations: (i) H$_2$S (ii) Fe (iii) iodide ion.
Write the products of the following reactions:
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).