Chapter 2, Problem 2.31P

Interpretation Introduction

(a)

Interpretation:

The expression for V(in³) in terms of t(h) should be calculated.

Concept introduction:

The volume of a microbial culture is observed to increase according to following formula,

$\begin{array}{l}V\left({\text{cm}}^{\text{3}}\right)=a{e}^{bt}\\ \text{Where,}\text{t=}\text{time}\text{in}\text{seconds}\end{array}$

Interpretation Introduction

(b)

Interpretation:

The units of a and b should be determined.

Concept introduction:

The volume of a microbial culture is observed to increase according to following formula,

$\begin{array}{l}V\left({\text{cm}}^{\text{3}}\right)=a{e}^{bt}\\ \text{Where,}\text{t=}\text{time}\text{in}\text{seconds}\end{array}$

It is assumed that the given equation is valid and therefore dimensionally homogeneous. So, the dimension of the left hand side and right hand side of the equation is equal. In addition, the exp () component is dimensionless.