Difficulty: Easy
Correct Answer: 1.000 bar
Explanation:
Introduction:
Engineering practice frequently interconverts legacy pressure units such as kgf/cm^2, bar, kPa, mmHg (torr), and water column. Recognizing near-equivalences helps in quick estimates and in reading older datasheets while avoiding significant errors.
Given Data / Assumptions:
Concept / Approach:
By definition, 1 kgf/cm^2 = 98,066.5 Pa = 98.07 kPa ≈ 0.967 bar. Hydrostatic equivalence gives about 10 m of water column. Converting to mmHg: 98,066.5 Pa ÷ 133.322 Pa/mmHg ≈ 735.6 mmHg. Therefore, values like 0.967 bar, 98.07 kPa, 10 m wc, and 735.6 mmHg are consistent with 1 kgf/cm^2, whereas exactly 1.000 bar (100 kPa) is slightly higher (~2% difference) and thus not equal.
Step-by-Step Solution:
Start from SI: 1 kgf/cm^2 = 98,066.5 Pa.Convert to bar: 98,066.5 Pa / 100,000 Pa/bar ≈ 0.967 bar.To kPa: 98.07 kPa (direct).To water head: P = ρ g h ⇒ h ≈ 10 m.To mmHg: 98,066.5 / 133.322 ≈ 735.6 mmHg.
Verification / Alternative check:
Cross-checks using multiple routes (e.g., bar and head) converge consistently, confirming the small mismatch with 1.000 bar.
Why Other Options Are Wrong:
Common Pitfalls:
Assuming 1 kgf/cm^2 equals exactly 1 bar or 100 kPa; the difference (~2%) can matter in precise calculations.
Final Answer:
1.000 bar
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