Question 50

The graph that best illustrates Boyle's law is option C.

Boyle's law states that the volume of a gas is inversely proportional to its pressure when the temperature is held constant. Therefore, a graph that depicts this relationship should show a downward curve, indicating that as pressure increases, volume decreases.

A) ultq252opa-adms.png

This graph does not accurately represent Boyle's law, as it shows a direct relationship between pressure and volume rather than the inverse relationship required. The expected curve should decline, but this graph suggests that increasing pressure leads to an increase in volume.

B) ultq252opb-adms.png

Option B fails to illustrate Boyle's law because it appears to show a linear relationship rather than a hyperbolic curve. In Boyle's law, the relationship should be non-linear, depicting that volume decreases more sharply with increasing pressure.

C) ultq252opc-adms.png

This graph correctly illustrates Boyle's law by displaying an inverse relationship between pressure and volume. The downward curve indicates that as pressure increases, the volume decreases, perfectly aligning with the principle of Boyle's law.

D) ultq252opd-adms.png

Option D does not represent Boyle's law as it suggests a constant volume regardless of pressure changes. This contradicts the fundamental concept of Boyle's law, which clearly states that volume should decrease as pressure increases.

Conclusion

Option C is definitively correct as it accurately illustrates the inverse relationship between pressure and volume described by Boyle's law. The other options fail to represent this relationship appropriately, either suggesting a direct correlation or showing a constant volume, which is inconsistent with the law's principles. Thus, option C is the only graph that visually conveys the expected behavior of gases under varying pressure at constant temperature.