Exercise
https://texercises.com/exercise/unknown-density-of-a-fluid/
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Pyknometer
Ichwarsnur, , 2019, digital photograph, Wikipedia
<Wikipedia> (retrieved on February 26, 2023)
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \)
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Exercise:
A pycnometer is a small bottle with a precisely known ernal volume that is used to measure densities of liquids. Consider a pycnometer with mPyO mass when empty and mWtO when filled with water. When filled with another fulid its mass is mFlO. What is the density of this other fluid?

Solution:
Geg m_ mPyO mPy m_ mWtO mWt m_ mFlO mFl GesDensityrho_sikilogrampercubicmeter The bottle holds m m_-m_ mWt - mPy mw water i.e. V fracm_rho_ fracm_-m_rho_ fracmwrw V When filled with the other fluid the bottle holds m' m_-m_ mFl - mPy mf of it in its V capacity i.e. the density of this fluid is: rho_ fracm'V fracm_-m_fracm_-m_rho_ fracm_-m_m_-m_rho_ fracmfV rf rho_ fracm_-m_m_-m_rho_ rfS
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Exercise:
A pycnometer is a small bottle with a precisely known ernal volume that is used to measure densities of liquids. Consider a pycnometer with mPyO mass when empty and mWtO when filled with water. When filled with another fulid its mass is mFlO. What is the density of this other fluid?

Solution:
Geg m_ mPyO mPy m_ mWtO mWt m_ mFlO mFl GesDensityrho_sikilogrampercubicmeter The bottle holds m m_-m_ mWt - mPy mw water i.e. V fracm_rho_ fracm_-m_rho_ fracmwrw V When filled with the other fluid the bottle holds m' m_-m_ mFl - mPy mf of it in its V capacity i.e. the density of this fluid is: rho_ fracm'V fracm_-m_fracm_-m_rho_ fracm_-m_m_-m_rho_ fracmfV rf rho_ fracm_-m_m_-m_rho_ rfS
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Tags
bottle, density, fluid, mechanics, physik
Content image
Pyknometer
Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
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