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

Question

You are performing an analyisis of a new metalic alloy created in your research lab. You place a 17.5 kg block of this new metal initially at a temperature of 19 degrees Celcius in a rigid insulated box. .30 kg of steam at 100 degrees C is piped into a box and then the box is sealed so that no heat can be transfered in or out. When the system comes to equilibrum, the temperature is 72 degrees celcius. What is the specific heat of the metal? Give your answer in J/(kgDegreeC) adn give answer to at least 3 siginificant figures. You are performing an analyisis of a new metalic alloy created in your research lab. You place a 17.5 kg block of this new metal initially at a temperature of 19 degrees Celcius in a rigid insulated box. .30 kg of steam at 100 degrees C is piped into a box and then the box is sealed so that no heat can be transfered in or out. When the system comes to equilibrum, the temperature is 72 degrees celcius. What is the specific heat of the metal? Give your answer in J/(kgDegreeC) adn give answer to at least 3 siginificant figures.

Explanation / Answer

Heat gained by alloy:

Ha = 17.5*C*(72-19)

where

C = specific heat of alloy

Now,

heat lost by steam:

Hs = 0.3*2080*(100 - 72)

For equilibrium,

Ha = Hs

So, 17.5*C*(72-19) = 0.3*2080*(100 - 72)

So, C = 18.84 J/kg.C

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