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(a) Tanks A and B containing air at conditions as given in Figure Q1. a are interconnected with a gate valve. Stating appropriate assumptions compile and compose an empirical model to calculate the volume and the equilibrium pressure in tank B, when the gate valve at the interconnection is opened (R=0.287kPam3/kgK). [10 Marks] Figure Q1. a (b) The mass balance on a rigid pressurized tank at sea level is as shown in Figure Q1, b is given as dtdm=Pinside The volume of the tank is 8 liters and m is the mass of air and the gauge pressure of the air inside the tank ( Pinsiae) is 25500KPa. The ambient and the air in the tank are initially at 298 K. Evaluate the mass of air at steady state when the valve is opened. [10 Marks] Figure Q1. B (c) Consider the perfectly mixed storage tank where a liquid phase chemical reactions is taking place, AB. The reaction is assumed to be irreversible, first order and exothermic. The heat generated in the reactor is removed via a cooling system. The feed enters the reactor with volumetric rate FI(m3/s), density pr(kg/m3) and concentration CAr(mole/m3). The output comes out of the reactor at volumetric rate F0, density p0 and concentrations CAO(mole/m3) and CBO(mole/m3). The effluent temperature is different from the inlet temperature due to heat generation by the exothermic reaction. The dependence of the rate constant on the temperature is given by k=k0eRT8 In order to establish the concepts of modelling and model verification develop a model for the variation of the volume of the reactor and the concentration of species A and B