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
Step 1: Identify the given values. Initial volume (V_1) = 50 \, m^3 Final volume (V_2) = 58 \, m^3 Constant pressure (P) = 10^5 \, Nm^-2 Step 2: Calculate the change in volume ( V). The change in volume is the final volume minus the initial volume. V = V_2 - V_1 V = 58 \, m^3 - 50 \, m^3 V = 8 \, m^3 Step 3: Calculate the work done (W) by the gas. For expansion at constant pressure, the work done by the gas is given by the formula: W = P V Substitute the values of pressure and change in volume: W = (10^5 \, Nm^-2) × (8 \, m^3) W = 8 × 10^5 \, N · m Since 1 \, N · m = 1 \, J (Joule), W = 8 × 10^5 \, J Comparing this result with the given options, it matches option D. The work done by the gas is 8 × 10^5 J.