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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?
- A. Henry's law
- B. Dalton's law
- C. Boyle's law
- D. Gay-Lussac's law
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.
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How many amino acids are essential for human life?
- A. 22
- B. 20
- C. 18
- D. 24
Correct Answer: B
Rationale: There are 20 essential amino acids required for human life. These amino acids cannot be synthesized by the body and must be obtained through the diet. They play crucial roles in various physiological functions and are necessary for protein synthesis and overall health. Choice A is incorrect because there are not 22 essential amino acids. Choice C is incorrect as there are more than 18 essential amino acids. Choice D is incorrect as there are not 24 essential amino acids for human life.
What is the oxidation state of the sulfur atom in sulfuric acid H2SO4?
- A. 4
- B. 6
- C. 8
- D. 10
Correct Answer: B
Rationale: In sulfuric acid (H2SO4), sulfur has an oxidation state of +6. The oxidation state is determined by considering the overall charge of the compound and the known oxidation states of other elements. In this case, hydrogen is typically +1, and oxygen is -2. To balance the charges and match the compound's overall charge of 0, sulfur must have an oxidation state of +6. Choice A (4) is incorrect because it doesn't balance the charges in the compound. Choices C (8) and D (10) are also incorrect as they are not valid oxidation states for sulfur in this compound.
Under which of the following conditions do real gases approach ideal behavior?
- A. At high pressure and high temperature
- B. At low pressure and high temperature
- C. Near the boiling point of water
- D. Real gases can never exhibit ideal behavior
Correct Answer: A
Rationale: Real gases approach ideal behavior at high pressure and high temperature. At these conditions, the volume of the gas molecules becomes negligible compared to the total volume of the gas. Additionally, the average distance between molecules becomes small enough for intermolecular forces to become less significant, leading to behavior that closely mirrors the assumptions of the ideal gas law. Choice B is incorrect because low pressure does not favor ideal behavior as the volume of gas molecules becomes more significant. Choice C is incorrect as the boiling point of water does not directly relate to ideal gas behavior. Choice D is incorrect because real gases can approach ideal behavior under specific conditions, such as high pressure and high temperature.
If oxygen is in a compound, what would its oxidation number be?
- A. 2
- B. -2
- D. -1
Correct Answer: B
Rationale: Oxygen typically has an oxidation number of -2 in compounds because it tends to gain electrons. This is due to its high electronegativity, which leads to oxygen attracting electrons towards itself in a chemical bond. Choice A (2) is incorrect because oxygen doesn't have a +2 oxidation number in compounds. Choice C (0) is incorrect as oxygen rarely has an oxidation number of 0 in compounds. Choice D (-1) is incorrect as oxygen's oxidation number in compounds is typically -2, not -1.
Which of the following statements, if any, are correct?
- A. pH is a measure of the effective concentration of hydrogen ions in a solution and is approximately related to the molarity of H+ by pH = - log [H+]
- B. pH is a measure of the effective concentration of oxygen ions in a solution and is not related to the molarity of O+ by pH = - log [O+]
- C. pH is a measure of the effective concentration of hydrogen atoms in a solution and is not directly related to the polarity of H+ by pH = - log [H+]
- D. Acidity is a measure of the effective concentration of hydrogen ions in a solution and is not directly related to the molarity of H+ by pH = - log [H+]
Correct Answer: A
Rationale: Statement A is correct. pH is a measure of the effective concentration of hydrogen ions in a solution, and it is related to the molarity of H+ by the formula pH = - log [H+]. This equation illustrates the logarithmic relationship between pH and the concentration of hydrogen ions. Oxygen ions and hydrogen atoms are not directly related to pH in the same manner as hydrogen ions. Acidity is determined by the concentration of hydrogen ions in a solution, and this concentration is what pH measures. Therefore, option A is the only statement that correctly defines the relationship between pH and the concentration of hydrogen ions in a solution. Choices B, C, and D are incorrect as they provide inaccurate information about the relationship between pH and the ions/atoms mentioned. Option B incorrectly associates pH with oxygen ions, option C mentions hydrogen atoms instead of hydrogen ions, and option D confuses acidity with pH, which is a measure of hydrogen ion concentration, not molarity.