Answer:
No, it is no the same
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:
[tex]\eta=\frac{Q_{c}}{W}[/tex]
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:
[tex]\eta=\frac{W}{Q_{c}}[/tex]
Therefore the expressions are different.