Problem 99 - General Chemistry: Principles and Modern Applications

Question

The fact that the volume of a fixed amount of gas at a fixed temperature is inversely proportional to the gas pressure is an example of (a) a hypothesis; (b) a theory; (c) a paradigm; (d) the absolute truth; (e) a natural law.

Step-by-Step Solution

Answer

The statement is an example of a natural law (option e).

Step 1: Identifying the Concept

Identify the statement and relate it to a well-established scientific concept. The given statement is the classical description of Boyle's Law, which states that the volume of a fixed amount of gas held at a constant temperature is inversely proportional to the pressure.

Step 2: Classifying the Concept

Classify this concept in the context of science. Hypotheses are tentative explanations of phenomena, theories are well-substantiated explanations of some aspect of the natural world, paradigms are accepted examples of phenomena, the absolute truth is a term rarely used in science due to consistent evolution of knowledge and natural laws explain a body of observations. Hence, Boyle's law falls under the category of a natural law.

Key Concepts

natural law

Natural law is a term used in science to describe principles that are consistently observed within natural phenomena. These laws are fundamental and repeatable under the same conditions. Natural laws, unlike hypotheses or theories, are not assumptions or explanations—they are observations that always hold true.
For example, Boyle's Law is considered a natural law because it consistently describes how gas volume and pressure relate at constant temperature. This law shows that when you increase the pressure on a gas, its volume decreases, provided temperature remains unchanged.
Overall, natural laws provide predictable outcomes, which means scientists can rely on these principles when predicting behavior in similar situations.

gas pressure

Gas pressure is a measure of how much force a gas molecule exerts on the walls of its container. It arises from the collisions of gas molecules with the surface of the container. The more frequent and forceful these collisions, the higher the pressure.
In the context of Boyle’s Law, gas pressure is an essential factor. According to this law, the volume of gas is inversely proportional to its pressure, meaning that as the pressure increases, the volume decreases. This is framed in the equation: \[ P_1 imes V_1 = P_2 imes V_2 \]where \( P_1 \) and \( V_1 \) represent initial pressure and volume, respectively, and \( P_2 \) and \( V_2 \) are the final pressure and volume. This relationship is crucial in understanding how gases behave in different conditions.

scientific concept

The scientific concept is a broad term used to describe a fundamental idea or principle that aids in understanding a specific natural event or phenomenon. It encompasses laws, theories, models, and other analytical tools that guide scientific exploration and application.
Boyle’s Law itself is a scientific concept as it provides a foundational understanding of gas behaviors under changing pressure and volume. It illustrates the predictable nature of gas behavior when subject to specific variables, which is integral within the field of chemistry and physics.
Speeding the process of invention and experimentation, scientific concepts like Boyle's Law enable us to model, predict, and use knowledge practically to develop applications such as pressurized systems and various industrial applications.