A 90-g aluminum calorimeter contains 390 g of water at a temperature of 20C. Then a 160 g piece of metal, initially at 305C is added to the calorimeter. The metal, water, and calorimeter reach an equilibrium temperature of 32 C. What is the specific heat capacity of the metal? The specific heat capacity of aluminum is 910 J/kg ∙ K, and of water is 4190J/kg*K.

430 J/kg · K

470 J/kg · K

350 J/kg · K

310 J/kg · K

Question

Physics

Howard Greer

23 February, 13:27

A 90-g aluminum calorimeter contains 390 g of water at a temperature of 20C. Then a 160 g piece of metal, initially at 305C is added to the calorimeter. The metal, water, and calorimeter reach an equilibrium temperature of 32 C. What is the specific heat capacity of the metal? The specific heat capacity of aluminum is 910 J/kg ∙ K, and of water is 4190J/kg*K.

430 J/kg · K

470 J/kg · K

350 J/kg · K

310 J/kg · K

+1

Answers (1)

Know the Answer?

Alfonso Beltran · Answer 1

Let the heat of the metal be Sm

Heat lost by metal = heat is gained by alu + heat gain by water.

Sw * 0.160 * (305-32) = 0.090 * (32 - 20) *

910 + 0.390 * (32-20) * 4186

sw = 470 J/kg * k

the specific heat for metal is 470J/kg*k