The value of q, Δ U and Δ H needs to be determined for each step in the cycle and also, for the total cycle. Concept introduction: The work done can be calculated using the two equations depending on the conditions. w = − n R T ln V f V i Here, n is number of moles, R is Universal gas constant, T is temperature, V f is final volume and V i is initial volume. Also, w = n C V , m ( T f − T i ) For the isothermal process, change in enthalpy can be calculated as follows: Δ H = C P , m n Δ T Here, C P , m is molar heat capacity at constant pressure. Also, the change in internal energy as follows: Δ U = C V , m n Δ T Here, C V , m is molar heat capacity at constant volume.

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Chapter 5, Problem 5.18NP

Interpretation Introduction

Interpretation: The value of q, $ΔU$ and $ΔH$ needs to be determined for each step in the cycle and also, for the total cycle.

Concept introduction:

The work done can be calculated using the two equations depending on the conditions.

$w=−nRTlnVfVi$

Here, n is number of moles, R is Universal gas constant, T is temperature, $Vf$ is final volume and $Vi$ is initial volume.

Also,

$w=nCV,m(Tf−Ti)$

For the isothermal process, change in enthalpy can be calculated as follows:

$ΔH=CP,mnΔT$

Here, $CP,m$ is molar heat capacity at constant pressure.

Also, the change in internal energy as follows:

$ΔU=CV,mnΔT$

Here, $CV,m$ is molar heat capacity at constant volume.

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