Final answer:
The hydrostatic test pressure for a system must be calculated using the height of the fluid column, specific gravity, and the acceleration due to gravity, ensuring that the test pressure exceeds the standard atmospheric pressure.
Step-by-step explanation:
The question seems to be related to Engineering, specifically to the testing of a system's pressure capabilities, typically found in mechanical or civil engineering disciplines. The hydrostatic test pressure for a system where the design temperature is the same as the hydrostatic test temperature must be calculated taking into account the height of the fluid column and the specific gravity of the fluid, as well as the acceleration due to gravity.
Using Equation 11.2.5, we convert the height (h) of the fluid column into pressure using the specific gravity (13.6 g/cm³ for mercury) and the acceleration due to gravity (g = 9.81 m/s² or more accurately g = 9.80665 m/s²). Assuming the fluid in question is mercury at 0°C, the hydrostatic test pressure should exceed the standard atmospheric pressure, which is approximately 101,325 Pa (or N/m²). This is equivalent to the pressure exerted by a 760 mm column of mercury at standard temperature and pressure (S.T.P.), which is defined as a temperature of 273.15 K (0°C) and a pressure of 0.986 atm. Additional considerations may be necessary if the column of fluid is a different substance, such as oil, where its specific gravity will influence the final hydrostatic test pressure calculation. Care must also be taken to ensure that all units are consistently used and properly converted when performing these calculations.