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

ID: 1475591 • Letter: Y

Question

You are performing an analysis of a new metalic alloy created in your research lab. You place a 18.0 kg block of this new metal initially at a temperature 17 oC in a rigid insulated box. 0.25 kg of steam at 100 oC 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 oC.

What is the specific heat of the metal? Give your answer in J/(kg oC) (or equivalently J/(kg K)), and give your answer to at least 3 significant digits.

Explanation / Answer

specific heat of alluminium = 0.900 J/gK
Q = mass x specific heat x delta T
temperature 17+273 = 290K

100+273 = 373 K

63+273 = 336 K
=18.0x specific heat ( 286 - 336) + 0.25 x0.900 ( 373 - 336)=0
- 900 x specific heat + 8.325 =0

specific heat = 0.00925 J/gK

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