# Comments on Van der Waals supercritical fluid: Exact formulas for   special lines [J. Chem. Phys. 135, 084503 (2011)]

**Authors:** I. H. Umirzakov

arXiv: 1812.00748 · 2018-12-04

## TL;DR

This paper corrects the equations for the speed of sound along Widom lines in the supercritical van der Waals fluid, clarifying previous inaccuracies and providing exact formulas for these special thermodynamic lines.

## Contribution

It provides the corrected and exact formulas for the speed of sound along Widom lines in the supercritical van der Waals fluid, addressing prior inaccuracies.

## Key findings

- Corrected equations for the speed of sound on Widom lines
- Clarified the thermodynamic behavior of supercritical van der Waals fluid
- Enhanced understanding of supercritical fluid properties

## Abstract

The equations for Widom lines for the supercritical van der Waals fluid were considered in the paper J. Chem. Phys. 135, 084503 (2011). But the equations for the speed of sound and its special Widom line were incorrect. The correct equations are obtained.

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Source: https://tomesphere.com/paper/1812.00748