In the laboratory a coffee cup calorimeter, or constant pressure calorimeter, is

Question

In the laboratory a coffee cup calorimeter, or constant pressure calorimeter, is frequently used to determine the specific heat of a solid, or to measure the energy of a solution phase reaction. A student heats 65.53 grams of silver to 98.67 degree C and then drops it into a cup containing 82.17 grants of water at 22.53 degree C. She measures the final temperature to be 25.92 degree C. The heat capacity of the calorimeter (sometimes referred to as the calorimeter constant) was ddtermined in a separate experiment to be 1.80 J/degree C. Assuming that no heat is lost to the surroundings calculate the specific heat of silver.

Explanation / Answer

m = 65.53 g of Silver

Ts = 98.67

m = 82.17 g of water

Tw = 22.53

Tf = 25.92

C = 1.8 J/C

Since there is no loss to other species, we can assume this is adiabatic, that is, all heat from silver goes to water

-Qsilver = Qwater

-ms*Cps*(Tf-Ts) = mw*Cpw*(Tf-Tw)

-65.53*Cps*(25.92-98.67) = 82.17*4.18*(25.92-22.53)

4767.31*Cp = 1164.36

Cp = 1164.367/4767.31 = 0.2442 J/gC

the actual value of Cp of Silver is 0.233

so we are pretty near

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