The figure below shows a self-cooling beverage can. The can is equipped with an outer jacket containing
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Question:
The figure below shows a “self-cooling” beverage can.
The can is equipped with an outer jacket containing sodium carbonate (Na2CO3), which dissolves in water rapidly and endothermically.
Na2CO3(s) → 2 Na+ (aq) + CO32−(aq) ΔH° = 67.7 kJ
The user adds water to the outer jacket, and the heat absorbed in the chemical reaction chills the drink. The can contains 200 g of drink, the jacket contains 55 g Na2CO3, and 100 g of water is to be added. If the initial temperatures of the can and the water are 32°C on a summer day, what is the coldest temperature that the drink can reach? The can itself has a heat capacity of 40 J/°C. Assume that the Na2CO3 solution and drink both have the same heat capacity as pure water, 4.184 J g−1 °C−1.
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