[1] In a metal, the conduction electrons are not attached to any one atom, but are relatively free to move throughout the entire metal. Consider a cube of copper measuring 1.0 mm on each edge. (a) What is the uncertainty in any one component of the momentum of an electron confined to the metal? (b) Estimate the average kinetic energy of an electron in the metal. (Assume Ap = [(Ap.)² + (Ap)² + (Ap.) ²1¹/2) c) Assuming the heat capacity of copper to be 24.5 J/mole-K, would the contribution of this motion to the internal energy of the copper be important at room temperature?
[1] In a metal, the conduction electrons are not attached to any one atom, but are relatively free to move throughout the entire metal. Consider a cube of copper measuring 1.0 mm on each edge. (a) What is the uncertainty in any one component of the momentum of an electron confined to the metal? (b) Estimate the average kinetic energy of an electron in the metal. (Assume Ap = [(Ap.)² + (Ap)² + (Ap.) ²1¹/2) c) Assuming the heat capacity of copper to be 24.5 J/mole-K, would the contribution of this motion to the internal energy of the copper be important at room temperature?
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![[1] In a metal, the conduction electrons are not attached to any one atom, but are relatively free to move
throughout the entire metal. Consider a cube of copper measuring 1.0 mm on each edge.
(a) What is the uncertainty in any one component of the momentum of an electron confined to the metal?
(b) Estimate the average kinetic energy of an electron in the metal. (Assume Ap = [(Apx)² + (Ap)² + (Ap.)²]¹/²)
c) Assuming the heat capacity of copper to be 24.5 J/mole-K, would the contribution of this motion to the
internal energy of the copper be important at room temperature?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F613fe210-8890-4f5f-abe5-0cad6919891a%2Faaa3b7c1-021f-48c0-a712-26a4d419e206%2Fufgevp_processed.png&w=3840&q=75)
Transcribed Image Text:[1] In a metal, the conduction electrons are not attached to any one atom, but are relatively free to move
throughout the entire metal. Consider a cube of copper measuring 1.0 mm on each edge.
(a) What is the uncertainty in any one component of the momentum of an electron confined to the metal?
(b) Estimate the average kinetic energy of an electron in the metal. (Assume Ap = [(Apx)² + (Ap)² + (Ap.)²]¹/²)
c) Assuming the heat capacity of copper to be 24.5 J/mole-K, would the contribution of this motion to the
internal energy of the copper be important at room temperature?
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VIEWStep 2: a) Find the uncertainty in any one component of the momentum of an electron confined to the metal:
VIEWStep 3: (b) Estimate the average kinetic energy of an electron in the metal:
VIEWStep 4: c) discuss the contribution at room temperature of this motion to the internal energy:
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