You are performing an analysis of a new metalic alloy created in your research l

Question

You are performing an analysis of a new metalic alloy created in your research lab. You place a 20.5 kg block of this new metal initially at a temperature 18 degree C in a rigid insulated box. 0.20 kg of steam at 100 degree C is piped into the box and then the box is sealed so that no heat can be transfered in or out. When the system comes to equilibrium, the temperature is 63 degree C. What is the specific heat of the metal? Give your answer in J/(kg degree C) (or equivalently J/(kg K)), and give your answer to at least 3 significant digits.

Explanation / Answer

By law of conservation of energy

Heat gained by metal + heat lost by steam = 0

mmcm(Tf - Ti) + mscs(Tf - Ti) = 0

20.5*cm*(63-100) + 0.20*1996*(63-18) = 0   => cm = 23.7 J/(kg*K)

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