A 89 gram block of copper (one mole has a mass of 63.5 grams) at a temperature o

Question

A 89 gram block of copper (one mole has a mass of 63.5 grams) at a temperature of 40 degree C is put in contact with a 71 gram block of aluminium (molar mass 27 grams) at a temperature of 11 degree C. The blocks are inside an insulated enclosure, with little contact with the walls. At these temperature the high-temperature limit is valid for the speed heat capacity. Calculate the final temperature of the two block. Do not look up the specific heat capacities of aluminum and copper, you should be able to figure them out on your own. T_t = degree C

Explanation / Answer

here,

specific heat capacity of copper , Cc = 385 J/kg C

specific heat capacity of alumunium , Ca = 902 J/kkg C

mass of copper , Mc = 0.089 kg

mass of alumunium , Ma = 0.071 kg

let the final temprature be Tf

heat lost by copper = heat gained by alumunium

Mc * Cc * ( 40 - Tf) = Ma * Ca * ( Tf - 11)

0.089 * 385 * ( 40 - Tf) = 0.071 * 902 * (Tf - 11)

solving for Tf

Tf = 21.1 degree

the final temprature is 21.1 degree

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