The exothermic gas phase reaction A(g) B(g) + C(g) takes place in a batch reactor. The initial volume of the reaction is 500 L and the feed is fed to the reactor at 5 atm pressure and there is no pressure change during the reaction. a) Expression that connects the rate of heat transfer to time so that the reaction takes place at a constant temperature of 27 C. Q=-50852.exp(-0.334.t) is known as cal/h. Construct this expression. b) Calculate the time required to reach 75% conversion when the reactant is fed into the reactor at 27 C and the reaction occurs adiabatically. CpA= 30 cal/(mol.K), CpB= 20 cal/(mol.K), CpC= 10 cal/(mol.K), H0 R= -1500 cal/mol R=1,987 cal/(mol.K), R=0.082 (L.atm)/(mol.K), HR=H0 R + CpdT kA=1014.exp(-19870/R.T) hr-1 (hr=hour)