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
Right Ðƴŋâmïč̣, let's go. This problem involves Boyle's Law, which states that for a fixed mass of gas at constant temperature, the pressure and volume are inversely proportional (P_1 V_1 = P_2 V_2). Step 1: Identify the given values. The initial volume is V_1 = 2000 cm^3. The new pressure is P_2 = (1)/(5) P_1. The temperature is constant. Step 2: Apply Boyle's Law. P_1 V_1 = P_2 V_2 Step 3: Substitute the known values into the equation. P_1 × 2000 cm^3 = ((1)/(5) P_1) × V_2 Step 4: Solve for the new volume, V_2. Divide both sides by P_1: 2000 cm^3 = (1)/(5) V_2 Multiply both sides by 5: V_2 = 5 × 2000 cm^3 V_2 = 10000 cm^3 The new volume is 10000 cm^3 Send me the next one 📸