This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Alright ~Dorinda — let's do this. The question asks which pair of variables for a gas is inversely proportional to each other, assuming other conditions are constant. We use the ideal gas law, PV = nRT, where R is the ideal gas constant. A) n, P: If V and T are constant, then P = (nRT)/(V). Since RT/V is constant, P n. This means P and n are directly proportional. B) P, T: If V and n are constant, then P = (nRT)/(V). Since nR/V is constant, P T. This means P and T are directly proportional (Gay-Lussac's Law). C) V, T: If P and n are constant, then V = (nRT)/(P). Since nR/P is constant, V T. This means V and T are directly proportional (Charles's Law). D) P, V: If n and T are constant, then PV = nRT. Since nRT is constant, PV = constant. This means P (1)/(V), so P and V are inversely proportional (Boyle's Law). Therefore, the pair of variables that are inversely proportional to each other is P and V. The correct option is (D). D Send me the next one 📸