(a) Interpretation: The rate of heat removal to produce 300 kg/h of dry ice is to be calculated. Concept introduction: According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function. Specific heat capacity ( C p ) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1 ∘ C . It is temperature dependent and varies with temperature of the substance. The formula to calculate C p is: C p ( T ∘ C ) = a + b T + c T 2 + d T 3 .......(1) Here, a , b , c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B. Change in specific enthalpy ( Δ H ^ ) of any substance for the temperature change from T 1 ∘ C to T 2 ∘ C is given by: Δ H ^ = ∫ T 1 T 2 C p d T .......(2) The rate of heat transfer is calculated as: Q ˙ = n ˙ Δ H ^ .......(3)

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Answer 1

Question

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

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What is the resulting temperature when 100 g of water at 75°C is mixed with 30 g of ice at 0 °C? Assume that all of the ice has melted. The specific heat of water is 4.184 J g-1 C°.-1 and the heat of fusion of ice is 335 J g-1.

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Answer 2

Question

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

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Answer 3

Question

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

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Answer 4

Question

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

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Answer 5

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Answer 6

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Answer 7

Chapter 8, Problem 8.49P

Interpretation Introduction

(a)

Interpretation:

The rate of heat removal to produce 300 kg/h of dry ice is to be calculated.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance. The formula to calculate Cp is:

Cp(T∘C)=a+bT+cT2+dT3 .......(1)

Here, a,b,c and d are constants which is specific for a substance. The values of these constants are given in table B.2 of appendix B.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Answer 8

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Answer 9

Interpretation Introduction

(b)

Interpretation:

An expression for the rate of heat removal is to be written in terms of the heat capacities and latent heats of CO2 in different phases.

Concept introduction:

According to the Hess’s law, the total enthalpy for a reaction is the sum of all the changes in the multiple steps of the reaction. According to this law, enthalpy is a state function.

Specific heat capacity (Cp) of a substance is the amount of heat needed for a unit mass of substance to raise its temperature by 1∘C. It is temperature dependent and varies with temperature of the substance.

Change in specific enthalpy (ΔH^) of any substance for the temperature change from T1∘C to T2∘C is given by:

ΔH^=∫T1T2CpdT .......(2)

The rate of heat transfer is calculated as:

Q˙=n˙ΔH^ .......(3)

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 8 - 8.1. The specific internal energy of formaldehyde...Ch. 8 - Prob. 8.2P Ch. 8 - Prob. 8.3P Ch. 8 - Prob. 8.4P Ch. 8 - Prob. 8.5P Ch. 8 - 8.6. Table B.7 of Appendix B gives the following...Ch. 8 - Prob. 8.7P Ch. 8 - Two formulas for the heat capacity of CO are given...Ch. 8 - 8.9. Table B.2 lists values of the heat capacity...Ch. 8 - Prob. 8.10P

Solution Summary: The author explains how the rate of heat removal to produce 300kg/h of dry ice is to be calculated.

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