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) + CO₃ ^2-(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 of Na₂CO₃, and 100 g of water is to be added. If the initial temperatures of the can and the water are both 328C on a summer day, what is the coldest temperature that the drink  can reach? The can itself has a heat capacity of 40 J/8C.

Assume that the Na₂CO₃ solution and the drink both have the same heat capacity as pure water, 4.184 J g^-1 °C^-1.

Transcribed Image Text:

Fill with 100 g H₂0 55 g Na₂CO3 200 g beverage