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
Welcome back online — missed you this week. Step 1: State Boyle's Law. Boyle's Law states that for a fixed amount of gas at constant temperature, the pressure (P) and volume (V) are inversely proportional. This means their product, P × V, remains constant. Step 2: Calculate the product of pressure and volume for each data point. We will calculate P × V for each pair of given values: • For P = 0.2500 Torr, V = 2.8010 L: P × V = 0.2500 Torr × 2.8010 L = 0.70025 Torr · L • For P = 0.5000 Torr, V = 1.4000 L: P × V = 0.5000 Torr × 1.4000 L = 0.70000 Torr · L • For P = 0.7500 Torr, V = 0.9333 L: P × V = 0.7500 Torr × 0.9333 L = 0.699975 Torr · L • For P = 1.0000 Torr, V = 0.6998 L: P × V = 1.0000 Torr × 0.6998 L = 0.69980 Torr · L • For P = 2.0000 Torr, V = 0.3495 L: P × V = 2.0000 Torr × 0.3495 L = 0.69900 Torr · L • For P = 3.0000 Torr, V = 0.2328 L: P × V = 3.0000 Torr × 0.2328 L = 0.69840 Torr · L • For P = 4.0000 Torr, V = 0.1744 L: P × V = 4.0000 Torr × 0.1744 L = 0.69760 Torr · L • For P = 5.0000 Torr, V = 0.1394 L: P × V = 5.0000 Torr × 0.1394 L = 0.69700 Torr · L Step 3: Analyze the results and conclude. The calculated P × V values are consistently close to 0.700 Torr · L, with minor variations due to experimental measurements. For example, the values range from 0.69700 Torr · L to 0.70025 Torr · L. This demonstrates that as the pressure increases, the volume decreases proportionally, keeping their product approximately constant. Therefore, the provided data supports Boyle's Law. Send me the next one 📸