Questions tagged [volume]
532 questions
32
votes
4 answers
Is it theoretically possible to have a larger inside volume than the outside exterior?
Last night I was listening to the audiobook of Harry Potter and the Chamber of Secrets (yeah, I know..) and it talked about the trunk of their enhanced car that was much bigger from the inside, than it looked from the outside. It made me…
Sander Schaeffer
- 485
29
votes
5 answers
Does curved spacetime change the volume of the space?
Mass (which can here be considered equivalent to energy) curves spacetime, so a body with mass makes the spacetime around it curved. But we live in 3 spatial dimensions, so this curving could only be visualized in a chart with 4 dimensions, and the…
Erick Weil
- 421
16
votes
3 answers
Thermodynamics - Sign convention
I use the sign convention:
Heat absorbed by the system = $q+$ (positive)
Heat evolved by the system = $q-$ (negative)
Work done on the system = $w +$ (positive)
Work done by the system = $w -$ (negative)
Could anyone please tell me, that volume…
Fasna
- 285
13
votes
5 answers
What happens to the temperature when an ideal gas is compressed?
I am rather confused about this. I know from Charles' law that under constant pressure, the volume of a gas is directly proportional to its absolute temperature i.e.
$$\frac{V_1}{T_1} = \frac{V_2}{T_2}$$
Thus accordingly, during compression,…
user36790
12
votes
3 answers
To what precision is the heat capacity an extensive quantity?
We know that heat capacity is an extensive quantity, basically meaning for double the amount of substance you need double the energy to increase temperature. To what extend is this actually true, like:
Are there e.g. (measurable) surface…
lalala
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12
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Why is the ratio of two extensive quantities always intensive?
Is this something that we observe that always happens or is there some fundamental reason for two extensive quantities to give an intensive when divided?
user225529
12
votes
1 answer
Why does my natural whistle have a maximum volume
When I whistle, I find that I can vary the volume by pushing more or less air through my mouth at once. However, when I increase volume past a point, I start to hear a blend of rushing air and a faint whistle sound. Why? Is the air just subtly…
Cory Kendall
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12
votes
3 answers
What are the rules for breaking a glass with your voice?
So, this morning I woke up and remembered something I discussed about with one of my friends:
Can human voice really break a wine glass?
So I looked it up and after checking many websites and some videos the answer was:
Yes, but it's not…
user77111
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10
votes
3 answers
How much pressure would it take to compress a block of solid steel into one-tenth the original volume?
We all know to compress objects into smaller volumes, you would need to apply pressure to them. The required pressure depends on how strong the material is and which form is it (gas, liquid, solid).
I have a 10 cm3 block of steel in my room. I am…
ZanMoon-chan
- 129
10
votes
3 answers
Is a canonical transformation equivalent to a transformation that preserves volume and orientation?
We have seen the reverse statement: Lioville's Theorem states that canonical transformations preserve volume (and orientation as well). Is the reverse true?
If I demand a map from the phase space to the phase space to preserve volume, is it…
Quantumwhisp
- 7,095
9
votes
1 answer
How to calculate the volume of water in a certain amount of air, given the relative humidity?
If, according to the weather forecast, the current humidity is 90%, how can I calculate the volume of water that could be extracted from a certain volume of that air?
Amr Bekhit
- 227
8
votes
1 answer
Number of fog droplets in the air
I have an issue with the official solution to this problem from BelPhO:
Visibility on the road is 100 m. Assuming that the diameter of a fog
droplet is 1 micron, estimate the concentration of fog droplets in the
air.
The official solution is:
If…
M. A.
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8
votes
4 answers
Intuition about conservation of volume in phase space (Liouville's theorem)
I'm reading a text that says "Conservative dynamics in physical systems requires that volumes are exactly preserved". I'm assuming this means volumes in phase space, since this seems to me what Liouville's theorem is all about.
I have trouble…
Willem
- 221
8
votes
2 answers
Do black holes have infinite areas and volumes?
How to calculate the area / volume of a black hole?
Is there a corresponding mathematical function such as rotating $1/x$ around the $x$-axis or likewise to find the volume?
Niklas Rosencrantz
- 1,073
8
votes
2 answers
Do you pay more for gas when the day is warmer?
Found this at the gas station yesteday - got me thinking...
Kirk Ouimet
- 181