Which of the following graphs best illustrates Boyle's law, which indicates that the volume occupied by a fixed number of gas molecules is inversely proportional to the pressure, at a constant temperature?

Rationale

Graph C best illustrates Boyle's law.

Boyle's law states that the volume of a gas is inversely proportional to its pressure when temperature is held constant. This means that as pressure increases, volume decreases, resulting in a hyperbolic curve on a graph plotting pressure against volume.

A (ultq252opa-adms.png) YOUR ANSWER

This graph likely depicts a linear relationship between pressure and volume, which does not align with Boyle's law. In Boyle's law, the relationship should curve as volume decreases with increasing pressure, reflecting the inverse proportionality rather than a direct correlation.

B (ultq252opb-adms.png) YOUR ANSWER

The graph represented here might show a constant volume irrespective of pressure changes, which contradicts Boyle's law. According to the law, volume should decrease as pressure increases, indicating a change rather than a fixed value across varying pressures.

C (ultq252opc-adms.png) CORRECT

This graph correctly represents Boyle's law by showing a hyperbolic curve that illustrates the inverse relationship between pressure and volume. As pressure rises, the volume decreases, clearly demonstrating the fundamental principle of Boyle's law.

D (ultq252opd-adms.png) YOUR ANSWER

This graph may depict a scenario where both pressure and volume increase together, suggesting a direct relationship. This does not conform to Boyle's law, which specifically states the inverse relationship—a decrease in volume should occur with an increase in pressure.

Conclusion

Boyle's law exemplifies the inverse relationship between pressure and volume for a fixed quantity of gas at constant temperature. The only graph that accurately depicts this relationship is Graph C, which illustrates the expected hyperbolic curve. In contrast, the other graphs either suggest direct relationships or constant values, which do not comply with the principles outlined by Boyle's law.

Which of the following graphs best illustrates Boyle's law, which indicates that the volume occupied by a fixed number of gas molecules is inversely proportional to the pressure, at a constant temperature?

Graph C best illustrates Boyle's law.

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