Consider a cylindrical batch reactor that has one end fitted with a frictionless piston attached to a spring (Figure P4-10C). The reaction
with the rate expression
is taking place in this type of reactor.
Figure P4-10C
(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 t = 0
Initial volume: 0.15 ft3
Value of k1: 1.0 (ft3/lb mol)2•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
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