The reaction between A2 (g) and B2 (g) was carried out in a sealed isothermal container. The rate law for the reaction was found to be:
Rate = \( k[\text{A}_2][\text{B}_2] \)
If 1 mole of A2 (g) was added to the reaction chamber and the temperature was kept constant, then predict the change in rate of the reaction and the rate constant.
According to the rate law:
Rate = \( k[\text{A}_2][\text{B}_2] \)
When 1 mole of A2 is added, [A2] increases. Since the temperature remains constant, the rate constant \( k \) remains unchanged.
Let the initial concentration of A2 be [A2], then after adding 1 mole, the new concentration increases, thus increasing the rate proportionally.
Conclusion: The rate of reaction will increase due to increased [A2], but the rate constant \( k \) remains the same.
(i) Write any two differences between order and molecularity.
(ii) What do you mean by pseudo order reaction?
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 \(P,O,Q\).