According to Boyle's Law, what is the equation used to express the relationship of pressure and volume?

According to Boyle's Law, what is the equation used to express the relationship of pressure and volume?

• A. PV = nRT
• B. P/V = k
• C. P^2V = k
• D. PV = k

Answer: (D)

Boyle's Law states that at constant temperature, the pressure of a gas is inversely proportional to its volume. This means that when the pressure increases, the volume decreases, and vice versa, as long as the temperature remains unchanged. The equation that captures this relationship is PV = k, where P represents the pressure, V represents the volume, and k is a constant for a given amount of gas at a fixed temperature. This equation emphasizes that the product of pressure and volume is constant, reflecting the inverse relationship that Boyle's Law describes. Understanding this relationship is crucial in various applications of gas behavior in science and engineering. Other choices contain different relationships that do not accurately reflect Boyle's Law. For instance, the ideal gas law, represented by the equation PV = nRT, incorporates temperature and amount of gas into the relationship but is broader than Boyle’s specific focus on pressure and volume.

Boyle's Law states that at constant temperature, the pressure of a gas is inversely proportional to its volume. This means that when the pressure increases, the volume decreases, and vice versa, as long as the temperature remains unchanged. The equation that captures this relationship is PV = k, where P represents the pressure, V represents the volume, and k is a constant for a given amount of gas at a fixed temperature.

This equation emphasizes that the product of pressure and volume is constant, reflecting the inverse relationship that Boyle's Law describes. Understanding this relationship is crucial in various applications of gas behavior in science and engineering.

Other choices contain different relationships that do not accurately reflect Boyle's Law. For instance, the ideal gas law, represented by the equation PV = nRT, incorporates temperature and amount of gas into the relationship but is broader than Boyle’s specific focus on pressure and volume.