Answer:
The specific heat of copper is
Explanation:
From the question we are told that
The amount of energy contributed by each oscillating lattice site is
The atomic mass of copper is
The atomic mass of aluminum is
The specific heat of aluminum is
The objective of this solution is to obtain the specific heat of copper
Now specific heat can be defined as the heat required to raise the temperature of 1 kg of a substance by
The general equation for specific heat is
Where is the change in temperature
is the change in internal energy
The internal energy is mathematically evaluated as
Where is the Boltzmann constant with a value of
T is the room temperature
n is the number of atoms in a substance
Generally number of atoms in mass of an element can be obtained using the mathematical operation
Where is the Avogadro's number with a constant value of
M is the atomic mass of the element
m actual mass of the element
So the number of atoms in 1 kg of copper is evaluated as
The number of atom is
Now substituting the equation for internal energy into the equation for specific heat
Substituting values