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At What Elevation Would A Container Burst Without Liquid With Liquid

How does the shape or size of the container affect on evaporation?

deeper small necked containers allow less evaporation, shallow wide necked containers (bowl shaped) allow more evaporation.

Will toiletries explode in mountains?

No!

People in Denver (5,000+ ft) buy toiletries the same as anyone else without worrying about them exploding.

For bottles that you can open, all you need to do is to make sure the bottle is right side up then open the cap or lid. That will equalize the pressure.

If something is carried upside down in a suitcase or a pack, then it is <> that some small amount could squeeze out past the lid/cap if it is not tightly sealed. That happens because the air pressure _inside_ the container is higher than outside when you get to a high altitude. Opening it will make the pressure equal. If you wanted to, you could put that kind of thing into a plastic bag.

Aerosol containers are already under high pressure, and a small additional change will not make <> difference.

What would happen if we threw a bottle of water onto the moon?

Wow... All the answers are correct and well written.So, to avoid be repetitive, I will answer it in a different way...In your question you implies the following: "There is no oxygen in space so.. ?"... Well, after you throw the bucket of water into space, then it will be oxygen in space!!!! So?  :0)However, there are more for us to think here...  You never mentioned, for instance, if the bucket was sealed or open. If it was sealed, the water will continue to be water, just will flow around the bucket's internal area, in inertia, while the bucket (that you threw, as per your question) travels to the direction you threw it. ;)But, if the bucket was open... Well, then you would never be able to throw the water into space as, complying with all other replies, as soon the water gets in contact with the vacuum, you will pretty much get a frozen mist almost instantly! As such, what you will be throwing into space will be the frozen mist, not water in its liquid form. And, as same as the sealed bucket,  it will travel through space until the reaction ends, or it interacts with gravity, or a colliding object.:)

When two liquids of different densities d1 and d2 and same mass are mixed,what is the density of the mixture?

Density of liquid A = d1 and liquid B = d2, and assume the mass of liquid A or B = m (which is same for both liquids as per the question).
Volume of liquid A = m/d1
Volume of liquid B = m/d2
Total volume of the mixture = m/d1 + m/d2 (as liquid is incompressible).
Total mass = m + m = 2m.
Hence density of the mixture = 2m / (m/d1 + m/d2) = 2 / (1/d1 + 1/d2) (cancelling m).
Density of mixture = 2 * d1 * d2 / (d1 + d2)

Will my bottle of alcohol explode on the airplane?

No, alcohol is stable provided there is no ignition source and O2 around. Pressure from plane will not be enough to damage container, especially if it's full. better if it's not cracked though, still won't explode even if it is, it will make your clothes smell a bit unless it's vodka!!

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