Question 1: Following second order reaction is taking place in a batch reactor. The rate expression is given by equation (2). 2APrA=dtdCA=kCA2 Using mass balance: [20 points ] a) Derive an expression for concentration (CA) of A inside the batch reactor with time. How would the concentration profile look like? b) Using part (a) write an expression for conversion (XA) of A in the reactor with time. How would conversion inside the reactor look like with time