Which law states that the pressure of an ideal gas is inversely proportional to its volume, given that the temperature and amount of gas remain constant?

Correct Answer: D

Rationale: Boyle's law describes the relationship between the pressure and volume of an ideal gas when the temperature and amount of gas are constant. According to Boyle's law, if the pressure of a gas increases, its volume decreases proportionally, and vice versa. This law is expressed by the equation P1V1 = P2V2, where P1 and V1 represent the initial pressure and volume, while P2 and V2 represent the final pressure and volume when the temperature and amount of gas remain unchanged. Understanding Boyle's law is essential in comprehending the behavior of gases under varying conditions and is fundamental in the study of thermodynamics. The other choices are incorrect: - Henry's law deals with the solubility of gases in liquids, not the relationship between pressure and volume of gases. - Dalton's law states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of individual gases, not the pressure-volume relationship. - Brown's law is a fabricated concept and does not exist in the context of gas laws.

Correct Answer: B

Rationale: The correct answer is B. The factors that influence rates of reaction are temperature, particle size, concentration, and the presence of a catalyst. Temperature affects the speed of molecules, particle size impacts the available surface area for reactions, concentration influences the collision frequency between reactant molecules, and catalysts accelerate reactions by providing an alternative pathway with lower activation energy. Choices A, C, and D are incorrect as they either include irrelevant factors that do not affect reaction rates (barometric pressure, container material, elevation, and volatility) or lack important factors that do influence reaction rates (like a catalyst).

Correct Answer: A

Rationale: A higher concentration of reactants causes more effective collisions per unit time, leading to an increased reaction rate. This is because a higher concentration means there are more reactant molecules in a given volume, increasing the likelihood of collisions between them. With more collisions occurring, there is a greater chance of successful collisions leading to the formation of products, hence increasing the reaction rate. Choice B is incorrect as a lower concentration decreases the number of collisions, reducing the reaction rate. Choice C is incorrect as a higher concentration increases collision frequency, which typically results in a higher reaction rate. Choice D is incorrect as a higher concentration usually leads to more collisions, thus increasing the reaction rate.

Correct Answer: B

Rationale: The correct answer is B, Dalton's law. Dalton's law states that in a mixture of non-reacting gases, the total pressure is equal to the sum of the partial pressures of the individual gases. The equation Ptot = Pa + Pb represents Dalton's law, where Ptot is the total pressure, and Pa and Pb are the component pressures. Choice A, Henry's law, deals with the solubility of gases in liquids. Choice C, Boyle's law, describes the inverse relationship between the pressure and volume of a gas at constant temperature. Choice D, Gay-Lussac's law, states that the pressure of a gas is directly proportional to its absolute temperature when volume is constant.

Correct Answer: D

Rationale: A. The solubility of a substance is indeed defined as the concentration of a solute that can be dissolved in a solvent to form a saturated solution at a specific temperature and pressure. B. Substances with solubilities much less than 1 g/100 mL of solvent are generally considered insoluble because they do not dissolve in significant amounts in the solvent. C. A saturated solution is one that cannot dissolve any more solute as it has reached its maximum capacity at a specific temperature and pressure. Therefore, all the statements provided are correct, making option D the correct answer.