Preparation of Sodium Dichromate
Sodium dichromate (\({Na2Cr2O7}\)) can be prepared from sodium chromate (\({Na2CrO4}\)) by acidifying the chromate solution using sulfuric acid (\({H2SO4}\)).
Upon acidification, chromate ions (\({CrO4^{2-}}\)) are converted into dichromate ions (\({Cr2O7^{2-}}\)), and sodium dichromate precipitates.
Balanced Chemical Equation:
\[ 2{Na2CrO4} + {H2SO4} \rightarrow {Na2Cr2O7} + {H2O} + {Na2SO4} \]
Note: If the simplified reaction is written omitting side products:
\[ {Na2CrO4} + 2{H2SO4} \rightarrow {Na2Cr2O7} + {H2O} \]
This process involves an equilibrium shift from yellow chromate (\({CrO4^{2-}}\)) to orange dichromate (\({Cr2O7^{2-}}\)) in acidic conditions.
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 \(P,O,Q\).