Chap 6 #10 A 48.0g sample of an unknown metal at 99°C was placed in a constant-p

Question

Chap 6 #10 A 48.0g sample of an unknown metal at 99°C was placed in a constant-pressure calorimeter containing 70.0 g of water at 24.0°C. The final temperature of the system was found to be 28.4°C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 10.4 J/°C.) Chap 6 #10 A 48.0g sample of an unknown metal at 99°C was placed in a constant-pressure calorimeter containing 70.0 g of water at 24.0°C. The final temperature of the system was found to be 28.4°C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 10.4 J/°C.) Chap 6 #10 A 48.0g sample of an unknown metal at 99°C was placed in a constant-pressure calorimeter containing 70.0 g of water at 24.0°C. The final temperature of the system was found to be 28.4°C. Calculate the specific heat of the metal. (The heat capacity of the calorimeter is 10.4 J/°C.)

Explanation / Answer

Let us denote water by symbol 1, metal by symbol 2 and calorimeter by symbol 3

m1 = 70.0 g

T1 = 24.0 oC

C1 = 4.184 J/goC

m2 = 48.0 g

T2 = 99.0 oC

C2 = to be calculated

T = 28.4 oC

C3 = 10.4 J/g

we have below equation to be used:

heat lost by 2 = heat gained by 1 and 3

m2*C2*(T2-T) = m1*C1*(T-T1) + C3*(T-T1)

48.0*C2*(99.0-28.4) = 70.0*4.184*(28.4-24.0) + 10.4*(28.4-24.0)

3388.8*C2 = 1288.672 + 45.76

C2= 0.394 J/goC

Answer: 0.394 J/goC

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