A50.00 g sample of an unknown metal is heated to 45.00°c. it is then placed in a coffee-cup calorimeter filled with water. the calorimeter and the water have a combined mass of 250.0 g and an overall specific heat of 1.035 cal/g•°c. the initial temperature of the calorimeter is 10.00°c. the system reaches a final temperature of 11.08°c when the metal is added.

The specific heat capacity of the unknown metal has been 0.164 cal/g..

Specific heat can be defined as the amount of energy required to raise the temperature of 1 gram of a substance by 1 degree celsius.

The expression can be given as:

heat = mass specific heat capacity change in temperature

The heat absorbed by Calorimeter can be given as:

Heat absorbed = 250 grams 1.035 cal/g. (11.08 - 10.00 )

Heat absorbed by calorimeter = 250 1.035 1.08

Heat absorbed by calorimeter = 279.45 cal

The heat absorbed by calorimeter has been equal to the heat released by metal.

Heat released by metal = 279.45 cal

Heat released = mass specific heat capacity change in temperature

279.45 cal = 50 g specific heat capacity (11.08 - 45.0 )

279.45 = 50 specific heat capacity -33.92

Specific heat capacity = 0.164 cal/g..

The specific heat capacity of the unknown metal has been 0.164 cal/g..

For more information about the specific heat capacity, refer to the link:

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