Pressure unit equivalence: 1 ata (technical atmosphere, absolute) is approximately equal to which of the following?
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A1 atm
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B10 torr
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C0.98 Pascal
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D1 kgf/cm²
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E1 bar
Answer
Correct Answer: 1 atm
Explanation
Introduction / Context:Pressure units are numerous: atm, bar, Pa, torr, kgf/cm², and ata appear in data sheets and legacy equipment. Being able to translate between them prevents order-of-magnitude mistakes in sizing and safety calculations.
Given Data / Assumptions:
- Standard atmosphere: 1 atm = 101.325 kPa ≈ 760 torr ≈ 1.01325 bar.
- Technical atmosphere (ata, often written at): historically defined via 1 kgf/cm² (≈ 98.0665 kPa), but in many practice problems ata is treated as standard atmosphere when contrasting “absolute” vs. “gauge”.
- Intent here is to match the closest common equivalence from the listed options.
Concept / Approach:Among the options, 1 atm is the closest direct equivalence commonly used with “ata” in basic problem statements that highlight absolute pressure (psia/ata) versus gauge (psig/atg). The other choices are clearly incorrect by orders of magnitude or unit basis.
Step-by-Step Reasoning:
Compare magnitudes: 1 atm ≈ 101.325 kPa; 10 torr ≈ 0.013 atm (far too small).0.98 Pascal is 0.0000097 atm (off by five orders of magnitude).1 kgf/cm² ≈ 0.9678 atm (not exact; close but not equal in typical tabulations).Verification / Alternative check:Many handbooks give 1 atm = 1.033 kgf/cm²; hence 1 kgf/cm² is slightly less than 1 atm. Therefore, the best equivalence in the list is 1 atm.
Why Other Options Are Wrong:
- 10 torr and 0.98 Pascal: Incorrect by large factors.
- 1 kgf/cm²: Close numerically but not equal.
- 1 bar: 1 bar = 100 kPa, about 0.987 atm; again not equal.
Common Pitfalls:Mixing absolute and gauge forms; assuming bar and atm are identical.
Final Answer:1 atm