Dry ice is solid carbon dioxide. Instead of melting, solid carbon dioxide sublim

Question

Dry ice is solid carbon dioxide. Instead of melting, solid carbon dioxide sublimes according to the following equation: CO2(s)?CO2(g). 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 dry ice produces fog until it evaporates away, or until the water gets too cold to sublime the dry ice quickly enough. Suppose that a small Styrofoam cooler holds 16.5 liters of water heated to 89?C.

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 33?C. Assume no heat loss to the surroundings.

Express your answer using two significant figures.

Explanation / Answer

the heat of sublimation for CO2 = 32.3kJ/mole
heat lost by water = heat gained by CO2

what is the ?T of the system?
to find heat lost by the water, we need the ?T
mass water x spceific heat water x ?T = heat lost by water, we don't know ?T or heat lost. so, we either need to know the total heat lost by the water or the ?T

once you determine the heat lost by the water in J, convert to kJ by dividng by 1000
calculated heat = moles CO2 x 32.3kJ/mole = kJ.....since we are looking for moles CO2 that was sublimatied, we need the calcualted heat lost by the water.

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