Universal gas constant vs. specific gas constant: verify the relationship Statement: The universal gas constant of a gas equals the product of the gas’s molecular mass and its (specific) gas constant per unit mass. Choose whether the statement is correct or not.
Mechanical Engineering
Thermodynamics
Difficulty: Easy
Choose an option
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ATrue
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BFalse
Answer
Correct Answer: True
Explanation
ConceptThe two common gas constants are related by molecular mass (M):
- Universal gas constant: R ≈ 8.314 kJ/(kmol·K) = 8,314 J/(mol·K)
- Specific gas constant (per unit mass): Rspecific = R / M
RelationshipR = M × Rspecific
Common pitfallsDo not confuse molar mass units (kg/kmol or g/mol) with mass units; ensure consistency so that R and Rspecific align dimensionally.
Final AnswerTrue