Standard atmosphere equivalences at mean sea level Select the correct consolidated statement for the standard atmospheric pressure at sea level (International Standard Atmosphere).
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A1.013 bar
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B760 mm of Hg
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C1013 × 10^2 N/m^2
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Dall of these
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E1.013 × 10^6 N/m^2
Answer
Correct Answer: all of these
Explanation
Introduction / Context:Engineering calculations often require converting standard atmospheric pressure between multiple unit systems. Being fluent with these equivalences avoids mistakes in sizing pumps, compressors, and instrumentation calibrations.
Given Data / Assumptions:
- Standard atmosphere (mean sea level): approximately 101325 Pa.
- Mercury column at 0°C has density supporting 760 mm at 1 atm.
- Bar is a convenient non-SI metric unit used in practice.
Concept / Approach:
Key exact or conventional values used in engineering: 1 atm ≈ 101325 N/m^2 (Pa) ≈ 1.013 × 10^5 N/m^2. This equals approximately 1.013 bar (since 1 bar = 10^5 Pa) and corresponds to a mercury column of 760 mm under standard conditions. Therefore, the grouped option stating “all of these” is correct. Note that 1.013 × 10^6 N/m^2 would be 10.13 bar, which is not standard atmospheric pressure.
Step-by-Step Solution:
Recognize 1 atm ≈ 101325 Pa = 1.013 × 10^5 N/m^2.Convert to bar: 101325 Pa ÷ 10^5 Pa/bar ≈ 1.013 bar.Recall barometric equivalence: 760 mm Hg at 0°C ≈ 1 atm.Verification / Alternative check:
Instrument calibration tables and ISO/ISA standards list these same equivalences, validating the consolidated choice.
Why Other Options Are Wrong:
1.013 × 10^6 N/m^2: Ten times larger than 1 atm.
Common Pitfalls:
Mixing bar (10^5 Pa) with Pascal and kiloPascal; remember 1 bar = 100 kPa (exact by definition).
Final Answer:
all of these