An aluminum cup contains 225g water and 40g copper stirrer, all at 27degrees C.

Question

An aluminum cup contains 225g water and 40g copper stirrer, all at 27degrees C. A 410 g sample of silver at an initial temperature of 88 degree C is placed in the water. The stirrer is used to stir the mixture gently until it reaches its final equilibrium temp of 32degree C. Calculate mass of aluminum cup.
In grams An aluminum cup contains 225g water and 40g copper stirrer, all at 27degrees C. A 410 g sample of silver at an initial temperature of 88 degree C is placed in the water. The stirrer is used to stir the mixture gently until it reaches its final equilibrium temp of 32degree C. Calculate mass of aluminum cup.
In grams
In grams

Explanation / Answer

mass of aluminium =m1

m2=225 g , m3 =40 g , T1 =27 oC, Tf =32oC,

m4 =410 g, T1 =88 oC , Tf = 32 oC

Specific heat capacity of aluminum Cp = 0.896 J/g/K

Specific heat capacity of water Cp = 4.18 J/g/K

Specific heat capacity of copper Cp = 0.381 J/g/K

Specific heat capacity of silver Cp = 0.234 J/g/K

Heat gain by system = heat lost by system

m1CpdT +m2CpdT +m3CpdT = -m4CpdT

(m1*0.896(32 -27)) + (225*4.18(32-27) )+(40*0.381*(32-27)) = - (410*0.234*(32 -88))

mass of alumninum m1 =132.6 g

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