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Kinematic viscosity of air at 20°C is given to be 1.6 × 10−5 m2/s. Its kinematic viscosity at 70°C will be varying approximately
- a)2.2 × 10−5 m2/s
- b)1.6 × 10−5 m2/s
- c)1.2 × 10−5 m2/s
- d)3.2 × 10−5 m2/s
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Kinematic viscosity of air at 20°C is given to be 1.6 × 10&m...
As kinematic viscosity of gas is the function of temperature, which is given by
The increase in temperature does not affect the viscosity very much because the values of α, β are very less. So, increase of temperature does not increase the viscosity very much.
Hence, the correct option is (a).
Hence, the correct option is (a).
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Kinematic viscosity of air at 20°C is given to be 1.6 × 10&m...
Kinematic Viscosity of Air
Kinematic viscosity is a measure of a fluid's internal resistance to flow. For gases like air, kinematic viscosity increases with temperature.
Given Data
- Kinematic viscosity of air at 20°C:
Effect of Temperature on Kinematic Viscosity
As temperature increases, the kinetic energy of the air molecules also increases, which reduces the density and increases the kinematic viscosity.
Estimation at 70°C
- The relationship between temperature and kinematic viscosity for air can be approximated using empirical data or equations. A common empirical correlation is:
- Therefore, from 20°C to 70°C (a 50°C increase), we can estimate:
Calculation
- Applying an approximate 40% increase to the original kinematic viscosity:
This value aligns closely with option (a) 2.2 × 10⁻⁵ m²/s, confirming that this is the most accurate choice.
Conclusion
To summarize:
- The kinematic viscosity of air at higher temperatures increases significantly, and for the temperature rise from 20°C to 70°C, it is reasonable to conclude that:
Kinematic viscosity is a measure of a fluid's internal resistance to flow. For gases like air, kinematic viscosity increases with temperature.
Given Data
- Kinematic viscosity of air at 20°C:
- ν = 1.6 × 10⁻⁵ m²/s
Effect of Temperature on Kinematic Viscosity
As temperature increases, the kinetic energy of the air molecules also increases, which reduces the density and increases the kinematic viscosity.
Estimation at 70°C
- The relationship between temperature and kinematic viscosity for air can be approximated using empirical data or equations. A common empirical correlation is:
- For every 10°C increase, kinematic viscosity increases by approximately 5-10% for air.
- Therefore, from 20°C to 70°C (a 50°C increase), we can estimate:
- 5-10% increase for each 10°C results in approximately a 25-50% increase overall.
Calculation
- Applying an approximate 40% increase to the original kinematic viscosity:
- New Kinematic Viscosity ≈ 1.6 × 10⁻⁵ m²/s × 1.4 ≈ 2.24 × 10⁻⁵ m²/s.
This value aligns closely with option (a) 2.2 × 10⁻⁵ m²/s, confirming that this is the most accurate choice.
Conclusion
To summarize:
- The kinematic viscosity of air at higher temperatures increases significantly, and for the temperature rise from 20°C to 70°C, it is reasonable to conclude that:
- **Correct answer:** 2.2 × 10⁻⁵ m²/s (option a).
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Kinematic viscosity of air at 20°C is given to be 1.6 × 10−5 m2/s. Its kinematic viscosity at 70°C will be varying approximatelya)2.2 × 10−5 m2/sb)1.6 × 10−5 m2/sc)1.2 × 10−5 m2/sd)3.2 × 10−5 m2/sCorrect answer is option 'A'. Can you explain this answer?
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Kinematic viscosity of air at 20°C is given to be 1.6 × 10−5 m2/s. Its kinematic viscosity at 70°C will be varying approximatelya)2.2 × 10−5 m2/sb)1.6 × 10−5 m2/sc)1.2 × 10−5 m2/sd)3.2 × 10−5 m2/sCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Kinematic viscosity of air at 20°C is given to be 1.6 × 10−5 m2/s. Its kinematic viscosity at 70°C will be varying approximatelya)2.2 × 10−5 m2/sb)1.6 × 10−5 m2/sc)1.2 × 10−5 m2/sd)3.2 × 10−5 m2/sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kinematic viscosity of air at 20°C is given to be 1.6 × 10−5 m2/s. Its kinematic viscosity at 70°C will be varying approximatelya)2.2 × 10−5 m2/sb)1.6 × 10−5 m2/sc)1.2 × 10−5 m2/sd)3.2 × 10−5 m2/sCorrect answer is option 'A'. Can you explain this answer?.
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