Apublished study of a chemical reaction A rightarrow p depic

Apublished study of a chemical reaction, A rightarrow p, depicts an increase in the concentration, Cp, of the final product with time according to the formula Cp = 4.83-4.83 exp(minus 0.0062t) t LT 200 Where Cp is the concentration of the product P in (g/L) and t is the time of the etch in seconds What are the units associated with the numbers 4.83 and 0.0062. Convert the relation so that Cp becomes expressed in Ibm/ft^3 and t can be expressed in minutes Given the reactions C_4H_10 rightarrow C_4H_8 + H_2 C_4H_10 + 3H_2 rightarrow 4CH_4

Solution

a) unit of 4.83 is the same as that of C_p which is g/L

    unit of 0.0062 is sec^-1

b) 1 g/L = 0.0624 lbm/ft³ hence 4.83 g/L = 0.3 lbm/ft³

also 1 sec^-1 = 60 min^-1 hence 0.0062 sec^-1 = 0.372 min^-1

Therefore the expression becomes

Cp = 0.3 - 0.3exp^(-0.372t)