1.900 x 10° 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. Item one in the "problem solving strategies for the effects of heat transfer" guide from the text is to figure out if there's a phase change. In addition to the method they describe, one way to help decide for this problem is to find whether there is enough heat to permit the system to cross the phase boundary. The next questions help to make that decision. 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). 4) After the stated 1.900 × 10° J of heat is added to the sample, which of the

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following pictures most closely represents how it would look? Pay no attention
to the thermometer in the photos, I just stole them from a website that showed a
different experiment (you couldn't melt aluminum this way, the metal in the
photos is probably gallium or something with a low melting point).
A)
B)
Transcribed Image Text:following pictures most closely represents how it would look? Pay no attention to the thermometer in the photos, I just stole them from a website that showed a different experiment (you couldn't melt aluminum this way, the metal in the photos is probably gallium or something with a low melting point). A) B)
1.900 x 10° 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.
Item one in the "problem solving strategies for the effects of heat transfer"
guide from the text is to figure out if there's a phase change. In addition to the
method they describe, one way to help decide for this problem is to find
whether there is enough heat to permit the system to cross the phase
boundary. The next questions help to make that decision.
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).
4) After the stated 1.900 x 10° J of heat is added to the sample, which of the
Printed by Woltram Mathematica Student Edition
Transcribed Image Text:1.900 x 10° 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. Item one in the "problem solving strategies for the effects of heat transfer" guide from the text is to figure out if there's a phase change. In addition to the method they describe, one way to help decide for this problem is to find whether there is enough heat to permit the system to cross the phase boundary. The next questions help to make that decision. 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). 4) After the stated 1.900 x 10° J of heat is added to the sample, which of the Printed by Woltram Mathematica Student Edition
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