Problem: 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 15.0 liters of water heated to 90°CPart B 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 19°C. Assume no heat loss to the surroundings.

FREE Expert Solution

-qwater = qdry ice


Step 1

qwater = - mcTqwater = -(15.0 L×1 g1×10-3 L)(4.18 Jg·°C)(19°C - 90°C)qwater =4451700 J ×1 kJ103 J


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Problem Details

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 15.0 liters of water heated to 90°C

Part B 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 19°C. Assume no heat loss to the surroundings.

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