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Instant cold packs used to treat athletic injuries contain solid NH_4NO_3 and a

ID: 957931 • Letter: I

Question

Instant cold packs used to treat athletic injuries contain solid NH_4NO_3 and a pouch of water. When the pack is squeezed, the pouch breaks and the solid dissolves, lowering the temperature because of the reaction: (a) This reaction is: (b) What is the final temperature, in degree C, in a squeezed cold pack that contains 44.2 g of NH_4NO_3 dissolved in 146 g of water? (Assume that the solution has the same specific heat as that of water, an initial temperature of 25.0 degree C, and no heat transfer between the cold pack and the environment.)

Explanation / Answer

Q = mc (t2-t1)

mc (t1-t) = mc(t-t2) t= final temperature

44.2 g x c x (25-t) = 146 g x c x (t-25)

25-t = 3.3 (t-25)

25-t = 3.3t - 82.5

4.3 t= 107.5

t = 25oC

Therefore,

final temperature = 25 o C