1.900 × 106 J of heat is added to a cylinder of aluminum (radius 5.000 cm, length 10.00 cm) at room temperature (let’s call the temperature exactly 300 K). Is this amount of heat enough to completely melt the aluminum? Assume the specific heat quoted in the text applies to aluminum in any phase and also that the density is valid at 300 K. 1) Calculate what amount of heat is necessary to take this aluminum to the closest phase boundary. 2) Calculate what amount of heat is necessary to take this aluminum across the phase boundary. 3) In light of the previous two answers, has enough heat been added to take the aluminum across the phase boundary? To answer this question, calculate and report what amount of heat would be needed to turn the sample into liquid at the melting point (analogous to turning ice into liquid water at 0°C).

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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1.900 × 106 J of heat is added to a cylinder of aluminum (radius 5.000 cm, length
10.00 cm) at room temperature (let’s call the temperature exactly 300 K). Is this
amount of heat enough to completely melt the aluminum? Assume the specific
heat quoted in the text applies to aluminum in any phase and also that the
density is valid at 300 K.

1) Calculate what amount of heat is necessary to take this aluminum to the
closest phase boundary.
2) Calculate what amount of heat is necessary to take this aluminum across the
phase boundary.
3) In light of the previous two answers, has enough heat been added to take the
aluminum across the phase boundary? To answer this question, calculate and
report what amount of heat would be needed to turn the sample into liquid at
the melting point (analogous to turning ice into liquid water at 0°C).

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