You wish to melt a 3 -kg block of aluminum, which is initially at 20^∘ C. How much energy, in jo

Name: Problem 77, Chapter 13: Physics: A Conceptual World View
Uploaded: 2020-06-20T07:04:34-08:00
Duration: 1 min 14 s
Channel: David Zhang
Description: You wish to melt a 3 -kg block of aluminum, which is initially at 20^∘ C. How much energy, in joules, is required to heat the block to its melting point of 660^∘ C ? How much energy, in joules, is required to melt the aluminum without changing its temperature?

step 1 So for this question, we have Q equals, use this equation for the first part. We have mass of 3

Question

You wish to melt a 3 -kg block of aluminum, which is initially at $20^{\circ} \mathrm{C}$. How much energy, in joules, is required to heat the block to its melting point of $660^{\circ} \mathrm{C}$ ? How much energy, in joules, is required to melt the aluminum without changing its temperature?

   You wish to melt a 3 -kg block of aluminum, which is initially at $20^{\circ} \mathrm{C}$. How much energy, in joules, is required to heat the block to its melting point of $660^{\circ} \mathrm{C}$ ? How much energy, in joules, is required to melt the aluminum without changing its temperature?

Physics: A Conceptual World View

Larry D.… 7th Edition

Chapter 13, Problem 77

Instant Answer

Solved by Expert David Zhang

06/20/2020

Step 1

We can use the formula for heat transfer, which is Q = mcΔT, where m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature. The mass of the aluminum block is 3 kg, which is equivalent to 3000 g. The Show more…

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You wish to melt a 3 -kg block of aluminum, which is initially at $20^{\circ} \mathrm{C}$. How much energy, in joules, is required to heat the block to its melting point of $660^{\circ} \mathrm{C}$ ? How much energy, in joules, is required to melt the aluminum without changing its temperature?

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Key Concepts

Latent Heat of Fusion

Latent heat of fusion is the amount of energy required to change a substance from a solid to a liquid at its melting point without changing its temperature. This concept is essential in calculating the energy needed to melt a substance after it has been heated to its melting temperature, using the formula Q = m × L_f, where L_f is the latent heat of fusion.

Specific Heat Capacity

Specific heat capacity is a measure of how much energy is needed to raise the temperature of a unit mass of a substance by one degree Celsius. It is crucial when calculating the energy required to heat a material from one temperature to another, using the formula Q = m × c × ?T, where m is the mass, c is the specific heat capacity, and ?T is the temperature change.

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