Chemical-plant equipment costs rarely vary in proportion to size. In the simples
ID: 1858727 • Letter: C
Question
Chemical-plant equipment costs rarely vary in proportion to size.
In the simplest case, cost C varies with size S according to the
allometric equation 18 Chemical Engineering Thermodynamics C = ?S?
The size exponent?is typically between 0 and 1. For a wide varity
of equipment types it is approximately 0.6. (a) For 0
show that cost per unit size decreases with increasing size.
("Econ-omy of scale") (b) Consider the case of a spherical storage
tank. The size is commonly measured by internal volume Vit. Show
that?= 2/3. On what parameters or properties would you expect
quantity ? to depend?
Explanation / Answer
on the cost we would expext quantity... because if the cost is more than quantity will be more. it doesnot depend on size.