Question

# The specific heat capacity of aluminium is C aluminium= 900 J/kgC, and that of iron is...

The specific heat capacity of aluminium is C aluminium= 900 J/kgC, and that of iron is C iron=450J/kgC. Samples of pure aluminium with mass M aluminium =50 kg and iron with mass M iron= 100 kg are prepared, along with a number of fancy boxes through wich heat does not flow. At an initial time, both the aluminium and iron samples are at T initial= 20C.

e)Determine the effective specific heat capacity of the combined samples.

f)ONe half of the aluminium and one half of he iron is removed from the box and deposited into anotehr box. That is, one half of the homogeneous mixture is transferred to a new box. A quantity of heat, 270,000 J, is added to the new box. Determine the temperature of the aluminium-iron mixture in the box, once it has absorbed all of the input heat.

g) An amount of heat, 180,000 J, is removed from the aluminium-iron mixture remaining in the original box in (f). Determine the temperature of the aluminium-iron mixture in the box, once it has released all of the output heat.

h)The two halves of the sample from (f) and (g) are recombined. Determine the final equilibrium temperature of the restored mixture.

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