Pressure Conversion Dilemma: Can You Solve It?
What is the pressure reading on the mercury manometer connected to the pressure tank with a gage pressure of 175 kPa?
Please select the appropriate option:
a) 175 mm Hg
b) 350 mm Hg
c) 525 mm Hg
d) 700 mm Hg
Final answer:
The pressure reading on the mercury manometer connected to the pressure tank with a gage pressure of 175 kPa converts to approximately 1311 mm Hg.
Explanation:
Your question involves understanding the conversion between kPa and mm Hg, units used to describe pressure. In this case, you're looking for the mercury manometer reading associated with a gage pressure of 175 kPa.
The conversion is based on the standard atmospheric pressure at sea level, which is about 101.325 kPa or 760 mm Hg. By setting up a conversion factor based on this equivalence, we can convert from one unit to the other. Specifically, we have (175 kPa) x (760 mm Hg / 101.325 kPa) which equals approximately 1311 mm Hg.
It appears that none of the provided options (a. 175 mm Hg, b. 350 mm Hg, c. 525 mm Hg, d. 700 mm Hg) match the correct answer. There may be a typographical or calculation error in your question options. Nevertheless, the process described is how you should approach this type of unit conversion problem.
Pressure conversions can be tricky, especially when dealing with different units. In this case, the conversion from kPa to mm Hg requires a solid understanding of the relationship between the two units.
When solving problems like this, it's important to remember the standard atmospheric pressure at sea level: 101.325 kPa or 760 mm Hg. This serves as a reference point for converting between the two units.
By using the conversion factor derived from the standard atmospheric pressure, you can easily convert the gage pressure of 175 kPa to approximately 1311 mm Hg. It's crucial to set up the conversion correctly to ensure accurate results.
Even though none of the provided options match the correct answer, this exercise highlights the importance of unit conversions in science and engineering. Practice and further study can help improve your skills in tackling such problems effectively.
Remember, understanding the relationship between different units of measurement is key to successfully converting values and solving complex problems. Keep practicing and learning, and you'll master pressure conversions in no time!