# Enter your answer in the provided box. A 32.0−g sample of an unknown metal at 99°C was placed in a constant-pressure calorimeter containing 80.0 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.)

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 Enter your answer in the provided box. A 32.0−g sample of an unknown metal at 99 ° C was placed in a constant-pressure calorimeter containing 80.0 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.)
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Step 1

Given:

Mass of sample = 32.0 g

T = 99 0C

Mass of water = 80

T of water = 240C

Final T = 28.40C

Heat capacity of the calorimeter is 10.4 J/ °C

specific heat of the metal = ?

Step 2

Heat lost by metal = mass x specific heat x temperature change of metal

= 32 X Specific heat X (99 – 24)

Assume that the specific heat = c and simplify,

Heat lost by metal = 2400 C

Heat gained by water = mass x specific heat x temperature change of water

= 80 X 4.184 X (28.4 - 24.0)

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