Let's assume CO2 is an ideal gas, the temperature of the room is 300 °K (80.33 °F or 26.85 °C), and the pressure is 1 ATM (sea level) These are pretty reasonable for the conditions were are thinking about. If you use PV=nRT (R=8.205746*10-5 m3 atm K−1 mol−1, molar mass CO2 = 44.00964 g/mol) you will find 1 kg of dry ice will make about .56m3 of gas which will mix up in the air of the room (notice it is close to the .45m3 you quoted from Gas Safety UK Ltd). The figure you quoted, 5.89934 kilograms making 327.153 cubic meters of gas, would only happen like somewhere on Mars where the atmospheric pressure on the surface is like 100 times lower. A more accurate figure is 3.3m3. All of this means is that if you sublimated 5.9 kg dry ice completely, and then dumped the gas in the room, it would replace 3.3m3 of regular air.sstimson wrote:Fixed - Before you tell me I got a mistake in converting 1kg in to X cubic meters of Gas, I already know and Am working on getting that corrected
Done - Need to figure out why 10kg of Dry Ice Sublimates in to 5.4 Cubic Meters of Gas. Maybe done but now new questions
1cc (Cubic Centimeter) of Dry Ice is 83.1837 Liters Of CO2 or 83183.7 cc (Cubic Centimeters) of CO2 and 0.0831837 CM (Cubic Meters)
So to find out how much gas comes from a X of Dry Ice, convert that to Cubic Centimeters of Dry Ice and Multiply by 0.0831837 to get Cubic Meters of Carbon Dioxide Gas
In the Biography under General Chemistry Online
This Site which sells Dry Ice Dry Ice for sell
First one on the list is these - High Density Dry Ice Pellets - 1/8" diameter dry ice pellets -Too small to move a body right?
Next one - Dry Ice Rice Pellets - 1/4" diameter dry ice pellets - Still too small, right?
Next one - Dry Ice Standard Pellets - 1/2" diameter dry ice pellets - About Ice cube size but still too small, right?
Next one - Cut Blocks of Dry Ice - ?"(2)? x 10" x 12" - This should be the one used
However the blocks are a little large to fit four on a tennis racket. After all the only area to lose some but not all of the friction from body weight is the area where the Dry Ice is, ever where else would have the normal friction.
The Volume would be if say the block is cut into 5 sections 2X10=20X12=240 Cubic Inches which is 3932.895 Cubic Centimeters Cubic In to cm's Next convert Cubic centimeters to grams from Here shows that 1 cc is about 1.5 grams so 3932.895 cc is 5899.34 grams or 5.89934 kilograms which would make 327.153 Cubic Meters of Gas based on an
Which is where this comes fromHow many grams of CO2 are in one cc of dry ice? The density of dry ice is about 1.5 g/mL, so 1 cc is about 1.5 g CO2.
How many moles of CO2 are in that number of grams? The molecular weight of CO2 is about 44 g/mol, so 1.5 g is
1.5 g CO2 × ( 1 mol CO244 g CO2 ) = 0.034091 mol CO2
What volume of gas contains that many moles of gas? Assume that the gas behaves ideally. At room pressure (about 1 atm) and temperature (about 25°C, or 298 K),
V = nRT/P
V = (0.034 mol × 0.0821 L atm mol-1 K-1 × 298 K)/(1 atm)
V = 8.3 × 10-1 L and that 1L = 0.001 Cubic meters
From Here Even if 100 cubic meters leaves the room under the door and another 100 cubic meters leave the room through cracks, that still leaves 127.153 cubic meters of Carbon Dioxide And remember this is only one square. Multiply that by four for the true volume of carbon dioxide sublimated. Also Remember as "quote - No sign of Dry Ice being used - unquote" 100% of that cube went into the air. As Conan would have been likely between 1 meter and 1 & 1/3 meters Using your room size air volume of that room is 1 meter X 4 Meters (12 Feet) X 5 Meters (15 feet) or 20 Cubic meters as anything above Conan's Head does not matter and Carbon Dioxide sinks. For fun lets say that the Co2 mixes evenly is the entire room thought to continue the easy conversion (3 feet is about 1 meter) instead of 8 feet make it 9 feet or 3 meters and that makes the room 60 cubic meters. Another Ad-Hoc. It seem to me to even have a enough Dry Ice after it was Bought and assuming the Dry ice was bought separately, then the Cake was allowed to melt out of the box overnight and the dry ice put inside. If the killer bought enough Dry Ice then even after the overnight period, there would still be enough Dry Ice to use. Another Ad-Hoc even though it does not appear in the Manga, also certain would be a picnic type cooler with the Dry ice wrapped in like a newspaper. This would greatly slow down the sublimation of the Dry Ice. Again going with you numbers even though we know that 100% of the Dry Ice sublimated. We get 327.153*.28=91.6028 m3 gas. You see you are forgetting a very important fact - Expansion ratio of the gas. A tight container like around 2kg releases a lot of gas. That should put it in the greater then .5 for the whole room. (More like over 100% for the whole room)Expansion ratio (relative increase in volume when evaporating to gas) for dry ice is 845
1) I am not going to completely disagree here. I only ask how long do you think the setup took. I would guess at best a low figure of ten minutes. You just said it can take minutes to sublimate an Ice Cube Sized Piece which I take to mean less then ten minutes meaning the Ice cube piece is gone just as she is closing the door.Chekhov MacGuffin wrote:
1) This is simply wrong. You would know it was incorrect if you ever worked with dry ice. An icecube sized piece (let's call it one inch squared) can take minutes to sublimate even if you chuck it in hot water. It sublimates much slower in air.sstimson wrote:]
In summary 1) It sublimate fast meaning a simple ice cube size would be gone before they got out of the room.
2) The amount of gas released should have killed Conan.
3) If the gas is not kept in a certain type of container, it will sublimate and the vapor pressure will cause a small explosion. This would have been heard the night before.
2) Shown above
3) It would have to be an airtight, pressure resistant container for the ice to explode. Cake boxes are not airtight.
2) Yes shown above. Remember you forgot the Expansion ratio.
3) Agreed. So if out on the counter all night yes you are right, but what about a freezer? Experiments show with time the Dry Ice continues to sublimates and again remembering the expansion ratio will because of vapor pressure force the freezer door open.
Biography
Google Math 555.783 * 845, 5.89934*845
University of York Dry Ice Solid Carbon Dioxide
General Chemistry Online What volume of gas is produced by vaporizing a given volume of dry ice?
Zomobo Videos Entry #2 04 - Dry Ice Rapid Sublimation
Continental Carbonic Purchase Dry Ice - Dry Ice for Sale
Yahoo Anwsers - How to convert Liter to cubic meter How to convert Liter to cubic meter[/spoiler]
5.9 kg is a lot of dry ice. No cake place gives out that much with a cake for 4. (Your online vender quoted ~$1 USD per pound so that's about $13 USD of dry ice right there, and an ice cream cake for 4 usually costs between 12 and 22 USD) You can see Gosho drew cute little cubes of dry ice in the box, which shows what he had in mind. Besides you have since moved to imaginary land by assuming the culprit went out and bought a massive chunk of dry ice anyway.
This is the case, along with the sublimation being faster at any surface contact points.Akonyl wrote: I imagine that much like with normal ice, since the application of pressure creates heat, it would also sublimate at a somewhat faster rate and have a larger "cushion" of sublimated gas.
If a living person wore gym pants and sat on a racket on dry ice for a minute, they would definitely feel pain. This is a really tough call honestly. I'd have to try it out... (*Cue strange doctor story about patient who apparently plays tennis presenting with 4 burns with grid marks on butt*)Akonyl wrote: as for the skin taking damage, I thought that as well, but then there's also the question of the dry ice being on the other side of the tennis racket mesh. I don't know exactly how much the separation would help him, but that might also reduce the amount of freezing on the body itself.



