Chapter 5, Problem 5.16NP

(a)

Interpretation Introduction

Interpretation: The value of heat, work done, change in internal energy, change in entropy and change in enthalpy needs to be determined if a gas undergoes a reversible adiabatic expansion and final pressure is 1/3^rd of the initial.

Concept Introduction:

The change in enthalpy for a process can be calculated as follows:

  $\Delta H=C_{P,m}n\Delta T$

Here, $C_{P,m}$ is molar heat capacity at constant pressure.

Also, the change in internal energy as follows:

  $\Delta U=C_{V,m}n\Delta T$

Here, $C_{V,m}$ is molar heat capacity at constant volume.

Also,

  $\Delta U=q+w$

Here, q is heat and w is work done.

The ideal gas equation is represented as follows:

  $PV=nRT$

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature.

(b)

Interpretation Introduction

Interpretation: The value of heat, work done, change in internal energy, change in entropy and change in enthalpy needs to be determined if a gas undergoes an adiabatic expansion at constant external pressure and final pressure is 1/3^rd of the initial volume.

Concept Introduction:

The change in enthalpy for a process can be calculated as follows:

  $\Delta H=C_{P,m}n\Delta T$

Here, $C_{P,m}$ is molar heat capacity at constant pressure.

Also, the change in internal energy as follows:

  $\Delta U=C_{V,m}n\Delta T$

Here, $C_{V,m}$ is molar heat capacity at constant volume.

Also,

  $\Delta U=q+w$

Here, q is heat and w is work done.

The ideal gas equation is represented as follows:

  $PV=nRT$

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature.

(c)

Interpretation Introduction

Interpretation: The value of heat, work done, change in internal energy, change in entropy and change in enthalpy needs to be determined if a gas undergoes an expansion at zero external pressure and final pressure is 1/3^rd of the initial volume.

Concept Introduction:

The change in enthalpy for a process can be calculated as follows:

  $\Delta H=C_{P,m}n\Delta T$

Here, $C_{P,m}$ is molar heat capacity at constant pressure.

Also, the change in internal energy as follows:

  $\Delta U=C_{V,m}n\Delta T$

Here, $C_{V,m}$ is molar heat capacity at constant volume.

Also,

  $\Delta U=q+w$

Here, q is heat and w is work done.

The ideal gas equation is represented as follows:

  $PV=nRT$

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature.