Consider a cylindrical batch reactor that has one end fitted with a frictionless piston at...

Consider a cylindrical batch reactor that has one end fitted with a frictionless piston attached to a spring (Figure P3-17B). The reaction

with the rate expression

is taking place in this type of reactor.

(a) Write the rate law solely as a function of conversion, numerically evaluating all possible symbols.

(b) What is the conversion and rate of reaction when V = 0.2 ft3?

Additional information:

Equal moles of A and B are present at I = 0

Initial volume: 0.15 ft3

Value of k1: 1.0 (ft3/lb molp-s”1

The relationship between the volume of the reactor and pressure within the reactor is

V=(0.1)(P)                (V in ft3, P in atm)

Temperature of system (considered constant): 140 °F

Gas constant: 0.73 ft3-atm/lb mol'°R