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Dry ice is solid carbon dioxide. Instead of melting, solid carbondioxide sublimes according to the equation:
When dry ice is added to warm water, heat from the water causes the dry ice to sublime more quickly. The evaporating carbon dioxide produces a dense fog often used to create special effects. In a simple dry ice fog machine, dry ice is added to warm water in a Styrofoam cooler. The dryice produces fog until it evaporates away, or until the water gets too cold to sublime the dry ice quickly enough. A small Styrofoam cooler holds 15.0 L of water heated to 85 C. Use standard enthalpies of formation to calculate the change in enthalpy for dry ice sublimation, and calculate the mass of dry ice that should be added to the water so that the dry ice completely sublimes away when the water reaches 25 C. Assume no heat loss to the surroundings. (The Hf for CO2(s) is -427.4 kJ>mol.)
4888.6
Chemistry 102
Chemistry 101
Chapter 9
Thermochemistry
Thermodynamics
Chemical reactions and Stoichiometry
University of Maryland - University College
University of Kentucky
Lectures
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So in this problem, we're given the Formula four sublime ing Dry Ice Co. Two solid to co two gas, and we want to find the mass of CO two solid. That would be dry ice needed in order to put in our fifteen liters ofwater such that it brings the temperature down from eighty five degrees Celsius to twenty five degrees Celsius and completely uses up our mass of dry ice. And so the first thing we want to do is find the Delta h of this reaction and so we can take the Delta H of formation of CO two gas and subtract the Delta H of formation of CO two solid. And when we do that, we take negative for twenty seven point four, killed Jules per mall and subtract negative three ninety three point five killer Jules Permal. And that gives us thirty three point nine killer Jules Permal. And so now that we have that, we can find the heat that the heat of the water a zits could in orderto cool it down by that temperature. And so how we do that is the equation Q equal, C m delta t the heat capacity sea of water is four point one eight four. We have fifteen thousand grams because we have fifteen leaders. And so we convert leaders to mill leaders and then two grams. And then our temperature goes from eighty five to twenty five degrees Celsius. And so doing this gives us three, seven, six, five, six zero zero Jules or thirty seven sixty five point six. Kill a jewel old. So now we can take our thirty seven sixty five point six killer Jules, and divide that by our thirty three point nine killer Jules per mole that we found in the previous step from our reaction. And that gives us that we have won eleven point zero eight moles. Now this is the mole's of dry ice that we have. And so, in order to get the mass, we just multiplied by the molar mass of co two. Forty four point zero one grams parole. And we get that We have four eight, eight, eight point six grams. And that is our final answer for the mass of dry ice
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