5 pts Question 4 You are performing an analysis of a new metalic alloy created i

Question

5 pts Question 4 You are performing an analysis of a new metalic alloy created in your research lab. You place a 23.6 kg block of this new metal initially at a temperature 24.8 °C in a rigid insulated box. 0.217 kg of steam at100 is piped into the box and then the box is sealed so that no heat can be transferred in or out, when the system comes to equilibrium, the temperature is 74.2 What is the specific heat of the metal? Give your answer in J/kg °C) (or equivalently J/kg K), and give your answer to at least 3 significant digits. Do not include units in your answer Use the standard values for the thermal properties of water: Cwater = 4186, c,team = 2000 ,Lbnt = 2.26 × 106 .

Explanation / Answer

heat lost by steam = heat gain by metal

(0.217 x 2.26 x 106) + (0.217 x 4186 x (100 - 74.2)) = 23.6 x Cm x (74.2 - 24.8)

=> 490420 + 23435.7396 = 1165.84Cm

=> 513855.7396/1165.84 = Cm

=> Cm = 440.7600868 J/KgC

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