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 Ðƴŋâmïč̣ — let's do this. Step 1: Identify the given values and the relevant gas law. The problem describes a fixed mass of gas at a constant temperature, which means Boyle's Law applies. Initial volume, V_1 = 2000 cm^3. The new pressure, P_2, is (1)/(5) of the original pressure, P_1. So, P_2 = (1)/(5) P_1. We need to find the new volume, V_2. Step 2: State Boyle's Law. Boyle's Law states that for a fixed mass of gas at constant temperature, the product of pressure and volume is constant: 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 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 📸