2.27. The volume of a microbial culture is observed to increase according to the formula V(cm') = e
where r is time is seconds.
(a) Calculate the expression for V(in.) in terms of (h).
(b) Both the exponential function and its argument must be dimensionless. The given equation
seems to violate both of these rules, and yet the equation is valid. Explain this paradox. (Hint:
Observe the result of part (a).
2.28. A concentration C (mol/L) varies with time (min) according to the equation
C = 3.00 exp (-2000