A Stirred Tank with Volume, V, Has a Feed Stream

question 14

Multiple Choice

A stirred tank with volume, V, has a feed stream of concentrated floor cleaner flowing into it at a rate of f . The flow stream has a concentration of c_i. The outlet stream also flows at f but with a concentration of c, the concentration of the floor cleaner solution in the tank. The rate of change of the concentration is proportional to the difference between c_i and c with proportionality constant of f/V: . If the tank volume is 2000 L, the flow rate is 6 L/min, the inlet concentration is 0.9, and the initial concentration of the floor cleaner in the tank is 0.0, how long until the concentration in the tank is 0.7?

• A) 9.0 minutes
• B) 501.4 minutes
• C) 333.3 minutes
• D) 83.8 minutes

---

Definitions:

Embryonic Origin

Refers to the developmental source of tissues and organs in an embryo, guiding the formation of the organism's body plan.

Nervous Tissue

A class of tissue comprised of neurons and supporting cells that specializes in communication throughout the body.

Vasopressin

A hormone released by the pituitary gland that regulates the body's retention of water and constricts blood vessels.

Antidiuretic Hormone

A hormone released by the pituitary gland that signals the kidneys to increase water reabsorption in the blood, thereby controlling the water balance in the body.