Which law is expressed by the equation: Ptot = Pa + Pb, where P represents pressure, Ptot is the total pressure, and Pa and Pb are component pressures?

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: A

Rationale: Statement A is false. In an endothermic process, solubility typically decreases with an increase in temperature and increases if the temperature decreases. When heat is added to an endothermic process, it disrupts the intermolecular forces holding the solute particles together, making them more likely to dissolve. Therefore, higher temperatures generally lead to increased solubility in an endothermic process. Statement B is correct as in an exothermic process, solubility usually decreases with an increase in temperature due to the excess heat causing solute particles to come out of solution. As Statements A and B are contradictory, the answer cannot be 'All of the Above' or 'None of the Above.'

Correct Answer: A

Rationale: Brownian motion is the correct choice as it specifically refers to the spontaneous, random movement of small particles suspended in a liquid, caused by the unbalanced impacts of molecules on the particle. This phenomenon was observed and documented by Robert Brown, leading to the discovery of the existence of molecules. Grey's kinesis and Boyle's wave are not scientifically recognized terms related to this concept.

Correct Answer: C

Rationale: Frequency is defined as the number of cycles of a wave that pass a fixed observation point per second. It is a fundamental characteristic of a wave and is measured in Hertz (Hz). The frequency of a wave determines its pitch in the case of sound waves and its color in the case of light waves. Choice A, 'Wave,' is incorrect because a wave refers to the disturbance or oscillation that travels through a medium. Choice B, 'Wavelength,' is incorrect as it represents the distance between two corresponding points on a wave (e.g., crest to crest). Choice D, 'Wavefunction,' is not the correct answer as it is a mathematical function used in quantum mechanics to describe the behavior of particles and systems.

Correct Answer: D

Rationale: Wavelength is correctly defined as the distance between adjacent peaks or adjacent troughs on a wave. It is a crucial characteristic of waves, influencing properties such as color in light waves and pitch in sound waves. By altering the wavelength, significant changes in the wave's perception and attributes can be observed. Choice A, Frequency, refers to the number of occurrences of a repeating event per unit of time and is not related to the distance between peaks or troughs. Choice B, Wavenumber, represents the spatial frequency of a wave in terms of cycles per unit distance, not the distance between adjacent peaks. Choice C, Wave oscillation, does not specifically define the distance between adjacent peaks or troughs but rather the movement of a wave back and forth.