Specific Heat of Ice and Copper

In summary, the student needs to use 320.86 grams of copper to melt a 200 gram block of ice from -10.0°C to 15.0°C by heating the copper to 100.0°C and dropping it onto the block of ice in a thermally insulated container. The specific heats of ice, water, and copper, as well as the heat of fusion of water, are needed for this calculation.
  • #1
liz_p88
18
0

Homework Statement



A student wants to melt a 200 gram block of ice that is at minus 10.0°C and turn it into liquid water at 15.0°C. The student plans to do this by heating copper pellets to 100.0°C and then dropping them onto the block of ice in a thermally insulated container. How many grams of copper will the student need to use?

Homework Equations



mcΔT = - [mcΔT]

The Attempt at a Solution



(200g)(2.1 KJ/kg*K)(25°C) = -(m)(0.385 KJ/kg*K)(-85°C)

m = 320.86 g

DID I DO THIS CORRECTLY?
 
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  • #2
No. There are three steps.
1)heat ice from minus 10.0°C to its melting point
2)melt ice into water
3)heat water to 15.0°C
you will need the specific heats of ice, water, and copper and the heat of fusion of water.
 

Related to Specific Heat of Ice and Copper

1. What is specific heat?

Specific heat is the amount of heat energy required to raise the temperature of a substance by 1 degree Celsius per unit mass.

2. What is the specific heat of ice?

The specific heat of ice is 2.09 J/g°C.

3. What is the specific heat of copper?

The specific heat of copper is 0.385 J/g°C.

4. Why does ice have a higher specific heat than copper?

This is due to the difference in molecular structure and bonding between ice and copper. Ice has a more complex structure and stronger bonds, making it more difficult to change its temperature compared to copper.

5. How does specific heat affect the melting and freezing of ice and copper?

The high specific heat of ice allows it to absorb a large amount of heat energy before reaching its melting point, causing it to melt at a slower rate. On the other hand, the low specific heat of copper allows it to heat up and cool down quickly, making it ideal for use in cooking and other applications that require quick temperature changes.

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