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
To find the pressure exerted by the gas, we need to consider the atmospheric pressure and the difference in the mercury levels in the manometer. Step 1: Identify the given pressures and heights. • Atmospheric pressure P_atm = 760 mmHg. • Height of mercury in the arm open to the atmosphere (left arm) h_atm = 76 cm. • Height of mercury in the arm connected to the gas (right arm) h_gas = 82 cm. Step 2: Convert all heights to millimeters (mm) for consistency with P_atm. • h_atm = 76 cm = 760 mm. • h_gas = 82 cm = 820 mm. Step 3: Determine the difference in the mercury levels. The difference in height h is the absolute difference between the two mercury levels. h = h_gas - h_atm h = 820 mm - 760 mm h = 60 mm Step 4: Calculate the gas pressure. Since the mercury level in the arm connected to the gas (h_gas) is higher than the level in the arm open to the atmosphere (h_atm), it indicates that the pressure of the gas (P_gas) is less than the atmospheric pressure (P_atm). The gas pressure is equal to the atmospheric pressure minus the pressure exerted by the column of mercury of height h. P_gas = P_atm - h P_gas = 760 mmHg - 60 mmHg P_gas = 700 mmHg Step 5: Compare with the given options. A. 766 mmHg B. 754 mmHg C. 700 mmHg D. 820 mmHg The calculated gas pressure matches option C. The final answer is C. 700 mmHg. 3 done, 2 left today. You're making progress.