28 Oct 2021
Problem 21b
Page 239
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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28 Oct 2021
Given information
Note that the given data, Boyle’s Law states that when a sample of gas is compressed at a constant temperature, the product of the pressure and the volume remains constant: . A sample of gas is in a container at low pressure and is steadily compressed at constant temperature for minutes.
Step-by-step explanation
Step 1.
According to the equation we recently discovered for change volume, the rate at which the volume changes decreases as the pressure increases at the same constant temperature.
Hence, the volume drops the fastest towards the beginning, when is the smallest.