In an Adiabatic Process (One in Which No Heat Transfer $P$

question 13

Short Answer

In an adiabatic process (one in which no heat transfer takes place), the pressure $P$ and volume $V$ of an ideal gas such as oxygen satisfy the equation
$$P ^ { 5 } V ^ { 7 } = C$$
where $C$ is a constant. Suppose that at a certain instant of time, the volume of the gas is $2 \mathrm {~L}$ , the pressure is $100 \mathrm { kPa }$ , and the pressure is decreasing at the rate of $5 \mathrm { kPa } / \mathrm { sec }$ . Find the rate at which the volume is changing.

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Definitions:

Blood Sugar Levels

The concentration of glucose in the blood, important for metabolic health and energy provision.

Major Functions

The primary roles or activities that an organism, system, or mechanism is designed to perform.

Carbohydrates

Organic compounds, including sugars, starches, and fiber, which are a major source of energy for the body.

Energy Density

A measurement of the amount of energy (calories) in a particular weight or volume of food.