Question

shows the thermodynamic cycles of two heat engines. Which heat engine has the larger thermal efficiency? Or

are they the same? Explain.

Short answer

The thermal efficiency ${\eta }_1>{\eta }_2$

Step-by-step solution

Step :1 Introduction

A thermodynamic cycle is a linked series of thermodynamic processes that involve the passage of heat and work into and out of a system while varying pressure, temperature, and other state variables, and that eventually returns the system to its beginning condition.

The working fluid (system) may serve as a heat engine by converting heat from a heated source into productive work and disposing of the remaining heat to a cold sink while passing through a cycle.

Step :2 Explanation 

Since same amount of heat is being added but $W_{OUT}$ is more in case of engine 1 as loop encloses greater area, hence,${\eta }_1>{\eta }_2$