Chapter 2, Problem 2.37NP

Interpretation Introduction

Interpretation: The value of $\Delta H$ and $\Delta U$ for transformation of 2.50 mol of ideal gas. The initial and final temperature is $19.0{}^{\text{o}}\text{C}$ and $550{}^{\text{o}}\text{C}$ respectively. Also, initial and final pressure is 1.00 atm and 19.5 atm respectively.

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.