Timelimit: 40 minutes. 15:49 remaining.t You order a 16 oz glass of tea (where t

Question

Timelimit: 40 minutes. 15:49 remaining.t You order a 16 oz glass of tea (where the mass of water is 474 grams) from a local restaurant. The tea is freshly brewed and has an initial temperature of 25.47 C.You add ice to cool t.if the heat of fusion of ice is 6.020 NI mol and each ice cube contains exactly 1 mol of water (assume the ice does not add anymore volume), how many ice cubes are necessary to cool the tea to 2.79 °C? The specific heat of the "tea" is 4.184c ice cubes possible 2 This is aempt 1 of 2 Submit

Explanation / Answer

Q = m ×c× dT ; c is specific heat
Thus,
(474 g) x (4.184 J/g*C) x (25. 47- 2.79) C = 44979.34 J is required

(4.184 J/g*C) x (18.01532 g H2O/mol) x (2.79 - 0) C = 210. 29 J/mol is the heat absorbed by the melted ice coming to 2.79 C.

Since each ice cube contains 1 mole of water,

(44979. 34 J) / (6.020 x 10^3 J/mol + 210. 29 J/mol) = 7.22 mol ice required

7 ice cubes aren't enough, so the answer is 8.

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