A calorimeter is made out of aluminum and it has a mass of 200g. It contains 600

Question

A calorimeter is made out of aluminum and it has a mass of 200g. It contains 600g of water at a temperature of 25degree C. Alice gives Bob an undefined matter that has a mass of 300g. To determine the specific heat of the sample Bob heats the sample to a temperature of 320degree C before inserting it into the calorimeter. After the the undefined matter and the calorimeter reach thermal equilibrium Bob measures the temperature to be 60degree C. What is the specific heat of the unknown sample if the specific heat of aluminum c = 900J/kgCDegree

Explanation / Answer

here,

mass of alumunium , ma = 0.2 kg

mass of water , mw = 0.6 kg

mass of undefined matter , mu = 0.3 kg

initial temprature of alumunium , Ta = 25 degree C

initial temprature of undefined , Tu = 320 degree C

the final temprature , Tf = 60 degree C

heat gained by alumunium and water = heat lost by undefined matter

ma * Ca * ( Tf - Ta) + mw * Cw * ( Tf - Ta) = mu * Cu * ( Tu - Tf)

0.2 * 900 * 35 + 0.6 * 4186 * 25 = 0.3 * Cu * 295

Cu = 780.68 J/(Kg degree C)

the specific heat of the undefined is 780.68 J/(Kg degree C)

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