A 100 g aluminum calorimeter contains 250 g of water. The two substances are in

Question

A 100 g aluminum calorimeter contains 250 g of water. The two substances are in thermal equilibrium at 10

A 100 g aluminum calorimeter contains 250 g of water. The two substances are in thermal equilibrium at 10 degree C. Two metallic blocks are placed in the water. One is a 50 g piece of copper at 84 degree C. The other sample has a mass of 64 g and is originally at a temperature of 100 degree C. The entire system stabilizes at a final temperature of 20 degree C. Determine the specific heat of the unknown second sample.

Explanation / Answer

Q=mc?T

Total Q is unchanged

c(water)=4.1813
c(copper)=0.385
c(alum.)=0.897

mass of water=250g

m of alum=100g

m copper=50 g

m of unknown =64g

(250)(4.1813)(10)+(100)(.897)(10)=(.385)(50)(84-20)+(64)(x)(100-20)

x=1.976 joule/gram c

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