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Chapter 12: Problem 20

How are the volume and pressure of a gas related, if its temperature is kept constant?

Short Answer

Expert verified
The volume and pressure of a gas are inversely related when its temperature is constant, according to Boyle's Law. If the volume increases, the pressure decreases and vice versa.

Step by step solution

01

Understanding Boyle's Law

Boyle's Law is a principle of gas behavior which states that when the temperature of a gas is held constant, the volume and the pressure are inversely proportional. The product of the pressure and the volume remains a constant in this case.
02

Inverse relationship

As mentioned, volume and pressure are inversely related. This means if the volume of a gas increases, its pressure decreases, given that the amount and the temperature of the gas are kept constant. Conversely, if the volume decreases, the pressure increases.
03

Mathematical expression

This inverse relationship is typically illustrated mathematically: \(P_1V_1 = P_2V_2\). For a given mass of gas at constant temperature, the product of pressure \(P\) and volume \(V\) is constant.

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