Chapter 2, Problem 2.89E

Interpretation Introduction

Interpretation:

ΔU for 1 mole of N₂ gas going from 300 K to 1100 K at constant volume is to be calculated. Using the expression for C_v determined from exercise 2.88, and ΔU is to be evaluated.

Concept introduction:

Notably, the overall energy content of the system is defined as internal energy (ΔU). The internal energy values for an isolated system is zero. since, no heat can enter into the system. Mathematically, internal energy can be written as,

ΔU = q + w

In a given system, the enthalpy and internal energy are governed by state variables of the system. Intriguingly, the molar heat capacities of gaseous systems are determined at constant volume and can be expressed as

$\mathrm{C}\mathrm{v}\mathrm{ }=\mathrm{ }(\mathrm{\delta }\mathrm{U}/\mathrm{ }\mathrm{\delta }\mathrm{T})\mathrm{v}$