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: Determine the difference in water levels in the U-tube manometer. The water level on the gas supply side (left) is 17 cm from the bottom. The water level on the open side (right) is 15 cm from the bottom. The difference in height (h) is: h = 17 cm - 15 cm = 2 cm Convert this height to meters: h = 2 cm = 0.02 m Step 2: Convert the atmospheric pressure to SI units (Pascals). Given atmospheric pressure (P_atm) = 74 cmHg. We use the formula P = g h, where is the density of mercury, g is the acceleration due to gravity, and h is the height of the mercury column. Density of mercury (_Hg) = 13600 kg/m^3. Acceleration due to gravity (g) = 9.8 m/s^2. Height of mercury column (h_Hg) = 74 cm = 0.74 m. P_atm = _Hg g h_Hg P_atm = 13600 kg/m^3 × 9.8 m/s^2 × 0.74 m P_atm = 98528 Pa Step 3: Calculate the pressure exerted by the water column difference. The pressure due to the water column difference (P_water) is given by P_water = _water g h. Density of water (_water) = 1000 kg/m^3. Acceleration due to gravity (g) = 9.8 m/s^2. Height difference (h) = 0.02 m. P_water = 1000 kg/m^3 × 9.8 m/s^2 × 0.02 m P_water = 196 Pa Step 4: Determine the gas pressure. Since the water level on the gas supply side (left) is higher than the water level on the open side (right), the gas pressure (P_gas) is less than the atmospheric pressure. P_gas = P_atm - P_water P_gas = 98528 Pa - 196 Pa P_gas = 98332 Pa The gas pressure in SI units is: 98332 Pa Last free one today — make it count tomorrow, or type /upgrade for unlimited.