A Large Mixing Tank Initially Contains 100 Gallons of Water $A ( t )$

question 5

Multiple Choice

A large mixing tank initially contains 100 gallons of water in which 30 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 4 gallons per minute, and the resulting mixture is pumped out at the same rate. The concentration of the incoming brine solution is 2 pounds of salt per gallon. If $A ( t )$ represents the amount of salt in the tank at time t, the correct differential equation for A is

• A) \(\frac { d A } { d t } = 8 - .02 A\)
• B) \(\frac { d A } { d t } = 8 - .04 A\)
• C) \(\frac { d A } { d t } = 4 - .04 A\)
• D) \(\frac { d A } { d t } = 2 - .04 A\)
• E) \(\frac { d A } { d t } = 4 - .08 A\)

Explain the mechanisms regulating breathing and the impact of different gases on respiration.

Apply knowledge of respiratory physiology to explain responses to environmental changes and pathologies.

Analyze the physiological adaptations in animals to various environments for efficient gas exchange.

Understand the concept and implications of diffusion in gas exchange, as outlined by Fick's law.

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Definitions:

Demand Elasticity

A measure of how much the demand for a product or service changes in response to changes in its price or other factors.

Elasticity of Demand

The measure of how much the quantity demanded of a good responds to a change in the price of that good.

Perfectly Inelastic

A market situation where the quantity demanded or supplied does not change in response to a change in price.

Elasticity of Demand

An indicator of the responsiveness of the quantity of a product demanded to its price alterations.