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.

Explanation / Answer

let us assume temparature of ice is 0 degre celcious

teperature of warm water = 89

equilubrium temerature = 33

ratio of temerature = (33-0) : (89 - 33)

or 33:56

= 1.69

ammount of dry ice needed = water volume into temperature ratio                                  

16.5 x 1.69

27.885 kg of dry ice

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