# Reverse refrigeration and 2nd law of thermodynamics

The 2nd law of thermodynamics as explained by University Physics states that

"It is impossible for any process to have its sole result the transfer of heat from a colder to a hotter body."

Now my question is simple, in reverse refrigeration or inverter Air Conditioner, heat flows from a colder (outside) to a hotter (inside) body. Work done is often 1/3rd of what is transferred depending on coefficient of performance. So let's suppose a 2kW (electrical energy) inverter is delivering 6kW of heat inside. The net transfer is 4kW of heat from a colder to a hotter body. How is that not violating the 2nd law of thermodynamics?

• $(10x+9)\cdot (10y+9)=100xy+90x+90y+81 shows via 81=8\cdot 10+1 that it gives a remainder of 1 on division by 10.$(10x+9)\cdot (10y+9)=100xy+90x+90y+81\$ is simply FOIL. mod is also the math of telling time. – Yuvraj Singh... Dec 17 '19 at 13:15