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https://texercises.com/exercise/molecules-in-room/
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The following quantities appear in the problem: Temperatur \(T\) / Volumen \(V\) / Druck \(p\) / Stoffmenge \(n\) / Anzahl \(N\) /
The following formulas must be used to solve the exercise: \(\frac{p_1}{T_1} = \frac{p_2}{T_2} \quad \) \(pV = nRT \quad \) \(pV = N k_{\rm B} T \quad \)
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Exercise:
Estimate the number of air molecules in a room of length LO width WO and height HO. Ase the temperature is TO. How many moles does that correspond to?

Solution:
The pressure is ased to be standard air pressure Geg L L W W H H T T p p GesStoffmengensimole The volume of the room is V VF L W H V The temperature in Kelvin is T_K TKF T + . TK The number of moles follows from the ideal gas law n fracp VR T_K fracp VFR leftTKFright fracp L W HncR leftT + .right n approx nP n nF nP
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Exercise:
Estimate the number of air molecules in a room of length LO width WO and height HO. Ase the temperature is TO. How many moles does that correspond to?

Solution:
The pressure is ased to be standard air pressure Geg L L W W H H T T p p GesStoffmengensimole The volume of the room is V VF L W H V The temperature in Kelvin is T_K TKF T + . TK The number of moles follows from the ideal gas law n fracp VR T_K fracp VFR leftTKFright fracp L W HncR leftT + .right n approx nP n nF nP
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celsius, gas, ideales gas, law, physics, scale, thermodynamics
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(1, default)
Points
1 (default)
Language
ENG (English)
Type
Calculative / Quantity
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