Consider a cylindrical batch reactor that has one end fitted with frictionless piston attached to a spring (Firgure P4-10C) The reaction

with the rate expression

is taking place in this type of reaction

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

(b) What is the conversion and rate of reaction when V=0.2 ft ³ ?

Additional information:

Equal moles A and B are present at t=0

Initial volume: 0.15 ft ³

Value of K1: 1.0 (ft ³ /Ib mol) ² ?s ^-1

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

V=(0.1)(P)(V in ft ³ , P in atm)

The temperature of system (considered constant): 140?F Gas constant: 0.73 ft ³ ?atm/Ib mol??R

A+B SC -TA= kCCB Figure P4-10C ww -Reaction occurs in here