chemistry
posted by Brandi .
A 115 g piece of metal, initially at 60.0 °C, is submerged into 100.0 g of water at 25.0 °C. At thermal equilibrium, this mixture had a final temperature of 27.0 °C. The specific heat capacity of water is 4.18 (J/g°C). Use this information to determine the specific heat capacity of the metal (calculate your answer to 3 sig figs).

The heat change for both objects will be equal, so you need two equations and they need to be set to each other. The equation to use is the following:
q=mcT∆
Conditions for 1
m1=mass1=115g
c1=specific heat1=?
T∆1=25.0°C27.0ºC=2.0Cº
Conditions for 2:
m2=mass2=100.0g
c2=specific heat2=4.18 (J/g°C)
T∆2=25.0°C60.ºC=30.0ºC
m1c1∆T1=m2c2∆T2
(115g)c1(2.0Cº)=(100.0g)(4.18 (J/g°C))(30.0ºC)
Solve for c1,
c1=[(100.0g)(4.18 (J/g°C))(30.0ºC)]/[(115g)(2.0Cº)]
c1=(1.25 x 10^4 J/)(2.3 x 10^2 gºC)
c1=54.3 J/g°C
****I think; I havent had to do this type of calculations in years.
Respond to this Question
Similar Questions

Chemistry
A 237 g piece of molybdenum, initially at 100.0°C, is dropped into 244 g of water at 10.0°C. When the system comes to thermal equilibrium, the temperature is 15.3°C. What is the specific heat capacity of molybdenum? 
Chemistry
A 5.00g sample of aluminum pellets (specific heat capacity = 0.89 J/°C · g) and a 10.00g sample of iron pellets (specific heat capacity = 0.45 J/°C · g) are heated to 100.0°C. The mixture of hot iron and aluminum is then dropped … 
Physics
Dry saturated steam at 100'C is passed into 250gm of a mixture of ice and water contained in a calorimeter of thermal capacity 45J/K.When all the ice has just melted,the mass of the content of the calorimeter has increased by 10gm … 
physics
Dry saturated steam at 100 degree C is passed into 250 gm of a mixture of ice and water contained in a calorimeter of thermal capacity 45J/K.When all the ice has just melted,the mass of the content has increased by 10 gm due to condensed … 
CHEMISTRY
A 22.2g piece of Al (which has a molar heat capacity of 24.03 J/mol°C) is heated to 84.6°C and dropped into a calorimeter containing water (the specific heat capacity of water is 4.18 J/g°C) initially at 23.5°C. The final temperature … 
Chemistry
A piece of copper metal is initially at 100 C. It is dropped into a coffee cup calorimeter containing 50.0 g of water at a temperature of 20 C. After stirring, the final temperature of both copper and water is 25 C Assuming no heat … 
Chemistry
A piece of copper metal is initially at 100 C. It is dropped into a coffee cup calorimeter containing 50.0 g of water at a temperature of 20 C. After stirring, the final temperature of both copper and water is 25 C Assuming no heat … 
Chemistry
A piece of copper metal is initially at 100 C. It is dropped into a coffee cup calorimeter containing 50.0 g of water at a temperature of 20 C. After stirring, the final temperature of both copper and water is 25 C Assuming no heat … 
Chemistry
A piece of copper metal is initially at 100 C. It is dropped into a coffee cup calorimeter containing 50.0 g of water at a temperature of 20 C. After stirring, the final temperature of both copper and water is 25 C Assuming no heat … 
Chemistry
A piece of copper metal is initially at 100.0°C. It is dropped into a coffee cup calorimeter containing 50.0 g of water at a temperature of 20.0°C. After stirring, the final temperature of both copper and water is 25.0°C. Assuming …