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https://texercises.com/exercise/cold-air/
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The following quantities appear in the problem: Temperatur \(T\) / Geschwindigkeit \(v\) / molare Masse \(M\) /
The following formulas must be used to solve the exercise: \(c = \sqrt{\kappa \frac{RT}{M}} \quad \)
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Exercise:
The speed of sound in cold air is measured to be vO. Calculate the air temperature. The molar mass of air is MO.

Solution:
The propagation speed of sound waves in a gas is given by v_S sqrtfrackappa R TM Solving for the temperature leads to T TF fracMtimesleftvright^katimesncR T approx resultTP resultTCP
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Exercise:
The speed of sound in cold air is measured to be vO. Calculate the air temperature. The molar mass of air is MO.

Solution:
The propagation speed of sound waves in a gas is given by v_S sqrtfrackappa R TM Solving for the temperature leads to T TF fracMtimesleftvright^katimesncR T approx resultTP resultTCP
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Branches
Mechanical Waves
Tags
propagation speed, sound wave, speed of sound
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Difficulty
(2, default)
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Language
ENG (English)
Type
Calculative / Quantity
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