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ChemistryQ&A LibraryEnter 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.)Question

Asked Oct 7, 2019

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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.) |

Step 1

**Given:**

Mass of sample = 32.0 g

T = 99 ^{0}C

Mass of water = 80

T of water = 24^{0}C

Final T = 28.4^{0}C

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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