Chapter 2, Problem 2.34NP

(a)

Interpretation Introduction

Interpretation: The change in temperature for 1 mole of an ideal gas needs to be determined if heat released is 425 J and work done on the system is 185 J.

Concept Introduction: The change in internal energy is calculated as follows:

  $\Delta U=n{C}_{V.m}\left(T_f-T_i\right)$

Here, n is number of moles, $C_{V,m}$ is molar heat at constant volume and T is temperature.

The work done is represented as follows:

  $w=-P_{\text{external}}\Delta V$

Here, P is external pressure and $\Delta V$ is change in volume.

The enthalpy of a reaction is represented as follows:

  $\Delta H=\Delta U+nR\Delta T$

Here, n is number of moles, R is Universal gas constant and $\Delta T$ is change in temperature.

(b)

Interpretation Introduction

Interpretation: The change in temperature for 1 mole of an ideal gas needs to be determined if heat absorbed is 315 J and work done by the system is 315 J.

Concept Introduction: The change in internal energy is calculated as follows:

  $\Delta U=n{C}_{V.m}\left(T_f-T_i\right)$

Here, n is number of moles, $C_{V,m}$ is molar heat at constant volume and T is temperature.

The work done is represented as follows:

  $w=-P_{\text{external}}\Delta V$

Here, P is external pressure and $\Delta V$ is change in volume.

The enthalpy of a reaction is represented as follows:

  $\Delta H=\Delta U+nR\Delta T$

Here, n is number of moles, R is Universal gas constant and $\Delta T$ is change in temperature.

(c)

Interpretation Introduction

Interpretation: The change in temperature for 1 mole of an ideal gas needs to be determined if no heat is involved and work done on the system is 225 J.

Concept Introduction: The change in internal energy is calculated as follows:

  $\Delta U=n{C}_{V.m}\left(T_f-T_i\right)$

Here, n is number of moles, $C_{V,m}$ is molar heat at constant volume and T is temperature.

The work done is represented as follows:

  $w=-P_{\text{external}}\Delta V$

Here, P is external pressure and $\Delta V$ is change in volume.

The enthalpy of a reaction is represented as follows:

  $\Delta H=\Delta U+nR\Delta T$

Here, n is number of moles, R is Universal gas constant and $\Delta T$ is change in temperature.