Answer:
No, it is no the same
Step-by-step explanation:
In the heat engine, the machine receives heat to produce work, where we desire that the work produced is 100% of the heat received and giving the following expression:
![\eta=(Q_(c))/(W)](https://img.qammunity.org/2020/formulas/engineering/college/fuwrscg98brlrx7u7xtwz6hdg77x78sq0t.png)
But in the heat pump, we receive work to produce heat and our desire is to convert all the work received into heat, which gives us the expression:
![\eta=(W)/(Q_(c))](https://img.qammunity.org/2020/formulas/engineering/college/ci8nv8bwsnytmlvgsewhef83026t1jlaon.png)
Therefore the expressions are different.