0 Enthaipies of Reaction 203 7. A 482 g ? sample of iron is heine3 C A1S g sampi

Question

0 Enthaipies of Reaction 203 7. A 482 g ? sample of iron is heine3 C A1S g sampie ef geld is heated to 9s 1 Both ofthese metals are added "9,4" goe cold want that s S of initially 145°C a From the ins lew of themodymamics what is the squasion relasing the sustm of the hears of the two comgecens b. Algebeaically substiouse in the speciichear cupacities for the mecals and wates, the masses of the sumples, and the temmperanure change. (See peeble7J c Solve the algrebeaic problem in (b) foe T, the final remperacure of water d. Determine the tinal temperature of the metals in water. it' the same for all If the temperature of a sample of water requires 3.2 kJ of heat to raise the temperature from 26.1'C to 35.2°C, how much water was in the sample? 8.

Explanation / Answer

7. From thr given data

a. from first law of thermodynamics

total heat gained by water = heat lost by iron + heat lost by gold

heat = q = mCpdT

m = mass, Cp = specific heat, dT = change in temperature

b. 9.47 x 4.18 x (Tf - 14.5) = 4.82 x 0.450 x (84.3 - Tf) + 1.25 x 0.129 x (95.1 - Tf)

c. solving,

39.6Tf - 574 = 183 - 2.17Tf + 1533.5 - 16.125Tf

Tf = 2290.5/57.9 = 39.6 oC

d. final Tf for iron = 84.3 - 39.6 = 44.7 oC

final Tf for gold = 95.1 - 39.6 = 55.5 oC

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8. using,

mass of water = heat used (J)/specific heat x change in temperature

                       = 3200/4.18 (35.2 - 26.1)

                       = 84.12 g

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