Consider a cylindrical batch reactor that has one end fitted with a frictionless piston attached to a spring (Figure P4-ll c ). The reaction with the rate expression is taking place in this type of...

Consider a cylindrical batch reactor that has one end fitted with a frictionless piston attached to a spring (Figure P4-ll_c). The reaction

with the rate expression

is taking place in this type of reactor.

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

Temperature of system (considered constant): 140°F Gas constant: 0.73 ft³
· atm/lb mol·
R

(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

Temperature of system (considered constant): 140°F Gas constant: 0.73 ft³
· atm/lb mol·
R