# Thermodynamic Black Hole with Modified Chaplygin Gas as a Heat Engine

## TL;DR

This paper explores the thermodynamics of an AdS black hole with modified Chaplygin gas, deriving new solutions and demonstrating its potential as a heat engine with calculable efficiency.

## Contribution

It introduces a novel Einstein's field equation solution for AdS black holes with Chaplygin gas and analyzes their thermodynamic and heat engine properties.

## Key findings

- Derived new black hole solutions with Chaplygin gas
- Confirmed the black hole can function as a heat engine
- Calculated work and efficiency of the thermodynamic system

## Abstract

We assume that the negative cosmological constant as a thermodynamical pressure and the asymptotically anti-de Sitter (AdS) black hole thermodynamics with modified Chaplygin gas. We have written the mass of the black hole, volume, entropy and temperature due to the thermodynamic system. We find a new solution of Einstein's field equations of AdS black hole with modified Chaplygin gas as a thermodynamic system. We also examine the weak, strong and dominant energy conditions for the source fluid of black hole. We also show that the thermodynamic black hole with Chaplygin gas can be considered as a heat engine and then we calculate work done and its efficiency by this system.