Question

The performance equation of a CSTR is ____

(a) (frac{F_{A_0}}{V} = frac{(-r_A)}{X_A} )

(b) (frac{F_{A_0}}{V} = frac{X_A}{(r_A)} )

(c) (frac{V}{X_A} = frac{(-r_A)}{F_{A_0}} )

(d) (frac{F_{A_0}}{V} = frac{X_A}{-r_A} )

Answer 1

The correct choice is (a) (frac{F_{A_0}}{V} = frac{(-r_A)}{X_A} )

Explanation: For a CSTR, Molar flow rate in = Molar flow rate out + accumulation

FA0 = FA + (-rA)V

FA0 = FA0(1- XA) + (-rA)V

Hence, FA0XA = (-rA)V.