For equation of state V m = R T / B + B ( T ) , it is to be shown that: ( ∂ C P , m ∂ P ) T = − T d 2 B ( T ) d T 2 Concept Introduction : Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1 0 C.

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Answer 1

Question

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

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(a) Express (∂Cp/∂P)T as a second derivative of H and find its relation to (∂H/∂P)T. (b) From the relationships found in (a), show that (∂Cp/∂V)T=0 for a perfect gas.

Since we will be dealing with partial derivatives later in the semester, this is a good opportunity to review this topic (see appendix C). Then evaluate the following partial derivatives (a) PV = nRT; (∂ P/∂V)T (b) r = (x2 + y2 + z 2 )1/2; (∂ r/∂y)x,z

Calculate the work done during the isothermal reversible expansion of a gas that satisfies the virial equation of state (eqn 1C.3b) written with the first three terms. Evaluate (a) the work for 1.0 mol Ar at 273 K (for data, see Table 1C.3) and (b) the same amount of a perfect gas. Let the expansion be from 500 cm3 to 1000 cm3 in each case.

Answer 2

Question

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Expert Solution & Answer

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Answer 5

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Answer 6

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Answer 7

Chapter 3, Problem 3.29NP

Interpretation Introduction

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 3 - Prob. 3.1CP Ch. 3 - Prob. 3.2CP Ch. 3 - Prob. 3.3CP Ch. 3 - Prob. 3.4CP Ch. 3 - Why can qv be equated with a state function if q...Ch. 3 - Prob. 3.6CP Ch. 3 - Prob. 3.7CP Ch. 3 - Prob. 3.8CP Ch. 3 - Prob. 3.9CP Ch. 3 - Why is qv=U only for a constant volume process? Is...

For equation of state V m = R T / B + B ( T ) , it is to be shown that: ( ∂ C P , m ∂ P ) T = − T d 2 B ( T ) d T 2 Concept Introduction : Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1 0 C.

Solution Summary: The author explains that specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1 0 C.

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.

Want to see the full answer?

Chapter 3 Solutions

For equation of state V m = R T / B + B ( T ) , it is to be shown that: ( ∂ C P , m ∂ P ) T = − T d 2 B ( T ) d T 2 Concept Introduction : Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1 0 C.

Solution Summary: The author explains that specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1 0 C.

Interpretation: For equation of state Vm= RT/B + B(T), it is to be shown that: ( ∂ C P,m ∂P)T=−Td2B(T)dT2 Concept Introduction : Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 10C.

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Chapter 3 Solutions

Interpretation:

For equation of state Vm= RT/B + B(T), it is to be shown that:

( ∂ C P,m ∂P)T=−Td2B(T)dT2

Concept Introduction :

Specific heat could be explained as the quantity of heat needed in order to increase the temperature by 1⁰C.