m(water) = 64.0 g
T(water) = 27.1 oC
C(water) = 4.184 J/goC
m(gold) = 31.7 g
T(gold) = 69.9 oC
C(gold) = 0.129 J/goC
T = to be calculated
Let the final temperature be T oC
use:
heat lost by gold = heat gained by water
m(gold)*C(gold)*(T(gold)-T) = m(water)*C(water)*(T-T(water))
31.7*0.129*(69.9-T) = 64.0*4.184*(T-27.1)
4.0893*(69.9-T) = 267.776*(T-27.1)
285.8421 - 4.0893*T = 267.776*T - 7256.7296
T= 27.7438 oC
Answer: 27.7 oC
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