Chapter 2, Problem 2.33NP

Interpretation Introduction

Interpretation: The final temperature needs to be determined if pressure of air in the automobile tire is $225\times {10}^3\text{ Pa}$ at $25.0{}^{\text{o}}\text{C}$ . Also, the air is adiabatically expanded against the constant external pressure of 1 bar until $P=P_{\text{external}}$ .

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.