Volume Question

[A/A Fuel GTX]

I know we have some mathletes here so here is one up for grabs.
How many gallons of water would it take to fill a vessel that measures 40" X 36" X 14"? How much would that water weigh? TIA

 

[texie]

I know we have some mathletes here so here is one up for grabs.
How many gallons of water would it take to fill a vessel that measures 40" X 36" X 14"? How much would that water weigh? TIA

About 87.25 gallons and 728 Lbs.

 

[Smart $]

I get 87.27 gallons and 726.53 lbs. at 68?F.

 

[Rampage_Rick]

Assuming 87.27 gallons, I get 669.31 lbs at 30?F

 

[wallypiper]

Assuming 87.27 gallons, I get 669.31 lbs at 30?F

Hmm, that wouldn't be water any more unless you added something to prevent it from freezing, which would change the density. If frozen, the ice is less dense than water. Both ethylene and propylene glycol are slightly denser than water when all are liquids.

 

[Rampage_Rick]

I just went with the weight of solid ice.

 

[ggunn]

Assuming 87.27 gallons, I get 669.31 lbs at 30?F

At 30 degrees F it wouldn't be water, it would be ice. Did the OP say anything about freezing it?

 

[Smart $]

At 30 degrees F it wouldn't be water, it would be ice. Did the OP say anything about freezing it?

Technically it is still water... but in its solid state. Just because we can call it ice does not change that fact. That said, the OP just said water, making no reference to its temperature.

 

[Smart $]

Assuming 87.27 gallons, I get 669.31 lbs at 30?F

After thinking about it, your weight appears to be in error, depending on conditions

I cannot find an exact density value at 30?F. If we extrapolate from values for supercooled water at 0? and -10?C (0.9998 and 0.9982 g/cm? respectively), we get 0.9997g/cm?.

Converted to lbs/in?

0.9997g/cm? ? 0.036127298147753lb/in?/g/cm? = 0.0361164599583086741lb/in?

Multiplied by OP dimensions we get 728.1 lbs.

However, if we actually have ice, the density is approximately 0.9165g/cm?...

0.9165g/cm? ? 0.036127298147753lb/in?/g/cm? = 0.0331106687524156245lb/in?

Multiplied by OP dimensions we get 667.5 lbs.

 

[Rampage_Rick]

I based my calculation on ice at 0.919 grams per cm?

 

[ggunn]

Technically it is still water... but in its solid state. Just because we can call it ice does not change that fact. That said, the OP just said water, making no reference to its temperature.

OK then, so what would it weigh at 220 F degrees at 1 atm pressure, Mr. Smarty Pants?

 

[GoldDigger]

I based my calculation on ice at 0.919 grams per cm?

Oh, you are using metric water!

Sent from my XT1080 using Tapatalk

 

[kwired]

Hmm, that wouldn't be water any more unless you added something to prevent it from freezing, which would change the density. If frozen, the ice is less dense than water. Both ethylene and propylene glycol are slightly denser than water when all are liquids.

Or if the vessel were completely full before freezing, you now have either a increased volume vessel, or one that will not contain all the water once it thaws.:happyyes:

Should still weigh the same as before it froze though.

 

[Smart $]

OK then, so what would it weigh at 220 F degrees at 1 atm pressure, Mr. Smarty Pants?

With these parameters, the water is a vaporous medium and considered overheated steam.

0.00058216053591276g/cm? ? 0.036127298147753lb/in?/g/cm? = 0.00002103188725077594818519802828lb/in?

...?40"?36"?14"=0.424lbs

FWIW, I used this online calculator to obtain the density at 1 bar, 220?F:

http://www.peacesoftware.de/einigewerte/wasser_dampf_e.html

 

[Besoeker]

I know we have some mathletes here so here is one up for grabs.
How many gallons of water would it take to fill a vessel that measures 40" X 36" X 14"? How much would that water weigh? TIA

Well, obviously 0.3304m³ which obviously weighs 330.4kg.
That converts to 728 lb

 

[Smart $]

Well, obviously 0.3304m³ which obviously weighs 330.4kg.
That converts to 728 lb

That'd be at 4?C, the temperature at which water is 1.000kg/m?

 

[GoldDigger]

With these parameters, the water is a vaporous medium and considered overheated steam.

FWIW, I used this online calculator to obtain the density at 1 bar, 220?F:

http://www.peacesoftware.de/einigewerte/wasser_dampf_e.html

Or, just as likely superheated water.
Thermodynamics tells us that at the point of a phase transition the relative amount of the two phases is determined by the history of the system and the current heat flow.


Sent from my XT1080 using Tapatalk

 

[ggunn]

Or, just as likely superheated water.

Is that like ectoplasm?

 

[Smart $]

Or, just as likely superheated water.
Thermodynamics tells us that at the point of a phase transition the relative amount of the two phases is determined by the history of the system and the current heat flow.


Sent from my XT1080 using Tapatalk

Correct... if there were still water in liquid state, or to begin with, within the container. The question as posed implies there is no liquid water in the container and no change of content or state (i.e. no history).

 

[Besoeker]

That'd be at 4?C, the temperature at which water is 1.000kg/m?

Or maybe 0.999973 if you want to be pedantic.