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?

on the cost we would expext quantity... because if the cost is more than quantity will be more. it doesnot depend on size.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.