The expression for the entropy of an Einstein solid as a function of N and q. The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

Question

Want to see the full answer?

Answer 1

Question

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

I have been able to do this with derivatives but I can't figure out how to do this with definite integrals

Let p(x, y) be the joint probability distribution of the two random variables X and Y. Define the conditional entropy H(X | Y ) in terms of the joint distribution and associated conditional probabilities.

Obtain relations for the characteristic lengths of a large plane wall of thickness 2L, a very long cylinder of radius ro, and a sphere of radius ro.

Answer 2

Question

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Answer 6

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

Answer 7

Chapter 3.3, Problem 25P

(a)

To determine

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

Answer 8

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

Answer 9

(b)

To determine

The temperature of an Einstein solid as a function of its energy.

Answer 10

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

Answer 11

(c)

To determine

The energy as a function of temperature and differentiating it to find the heat capacity expression.

Answer 12

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

Answer 13

(d)

To determine

Heat capacity is C=Nk at limit T→∞ .

Answer 14

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

Answer 15

(e)

To determine

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

Answer 16

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Answer 17

(f)

To determine

The accurate approximate for heat capacity at high temperature.

Answer 18

Expert Solution & Answer

Answer 19

Expert Solution & Answer

Answer 20

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 21

Ch. 3.1 - Use Table 3.1 to compute the temperature of solid...Ch. 3.1 - Use the definition of temperature to prove the...Ch. 3.1 - Figure 3.3 shows graphs of entropy vs. energy for...Ch. 3.1 - Can a miserly system, with a concave-up...Ch. 3.1 - Prob. 5P Ch. 3.1 - Prob. 6P Ch. 3.1 - Prob. 7P Ch. 3.2 - Prob. 8P Ch. 3.2 - In solid carbon monoxide, each CO molecule has two...Ch. 3.2 - An ice cube (mass 30 g) at 0C is left sitting on...

The expression for the entropy of an Einstein solid as a function of N and q. The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

Concept explainers

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

The temperature of an Einstein solid as a function of its energy.

The energy as a function of temperature and differentiating it to find the heat capacity expression.

Heat capacity is C=Nk at limit T→∞ .

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.

The accurate approximate for heat capacity at high temperature.

Want to see the full answer?

Chapter 3 Solutions

The expression for the entropy of an Einstein solid as a function of N and q. The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

Concept explainers

The expression for the entropy of an Einstein solid as a function of N and q. The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

The temperature of an Einstein solid as a function of its energy.

The energy as a function of temperature and differentiating it to find the heat capacity expression.

Heat capacity is C=Nk at limit T→∞ .

The graph of CNk versus t=kT∈ . The heat capacity at low temperature comparing the data for lead, aluminum and diamond. The value of ∈ for real solid in electron-volts.

The accurate approximate for heat capacity at high temperature.

Want to see the full answer?

Chapter 3 Solutions

The expression for the entropy of an Einstein solid as a function of N and q.

The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.

The graph of CNk versus t=kT∈ .

The heat capacity at low temperature comparing the data for lead, aluminum and diamond.

The value of ∈ for real solid in electron-volts.