Pressure unit conversion: One bar corresponds to what value in SI base units (N/m^2)?

Introduction / Context:Bar is a convenient non-SI pressure unit frequently used in engineering practice, weather reports, and manufacturer datasheets. Converting between bar and pascals (N/m^2) is necessary for consistency in calculations and standards compliance.

Given Data / Assumptions:

• 1 Pa = 1 N/m^2 by definition.
• Exact definition: 1 bar = 100,000 Pa.
• Atmospheric pressure at sea level ≈ 1.01325 bar (approximate reference).

Concept / Approach:By definition, 1 bar equals 10^5 pascals. This makes bar convenient for approximating atmospheric pressure while maintaining simple powers of ten in engineering problems.

Step-by-Step Solution:

Verification / Alternative check:Check sanity: 1 bar ≈ 0.987 atm; 1 atm = 101,325 Pa, close to 10^5 Pa, confirming the order of magnitude.

Why Other Options Are Wrong:

• 10^2, 10^3, 10^4 N/m^2: Off by several orders of magnitude.

Common Pitfalls:Confusing bar with atm or using kPa incorrectly; remember 1 bar = 100 kPa exactly.

Final Answer:1 × 10^5 N/m^2