What is the effect of temperature on the rate constant of a reaction?
The rate constant of a reaction generally increases with temperature. This is explained by the Arrhenius equation, which shows that the rate constant \(k\) increases exponentially with an increase in temperature. As the temperature rises, the number of molecules having sufficient energy to overcome the activation energy barrier increases, leading to an increase in the rate constant. \[ k = A \cdot e^{-\frac{E_a}{RT}} \] Where: - \(k\) is the rate constant, - \(A\) is the frequency factor, - \(E_a\) is the activation energy, - \(R\) is the gas constant, - \(T\) is the temperature in Kelvin.
The conversion of molecule X to Y follows second-order kinetics. If the concentration of X is increased 3 times, how will it affect the rate of formation of Y?

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 \(P,O,Q\).