Problem $2$: CONSIDER THE FOLLOWING BASE CASE:The expression for the reaction rate is given as $r_A=$k$C_A{C}_B.$ It is known that the activation energy is $60,000$ J$/$mol$.$ The reaction occurs in the gas phase at constant pressure and temperature of $5$ bar and $250\backslash$deg C$,$ respectively, with equal compositions of A and B fed into a plug flow reactor.Answer correctly and with a clear procedure the following, with respect to the base case:

a$)$ How much will the reaction rate at the reactor inlet increase$/$decrease if the temperature changes to $300\backslash$deg C$?$

b$)$ How much will the reaction rate at the reactor inlet increase$/$decrease if the pressure changes to $7$ bar?

c$)$ If it is desired for the reaction to occur at $10$ bar, what should the temperature be so that the reaction rate at the reactor inlet does not change?