An inventor claims to have a solar powered heat pump that receives energy as heat from the sun at the rate of 10 kW and extracts energy as heat from the environment at the rate of 7 kW. This system does not require any shaft or electrical power input. If you think this device is impossible, explain why, using basic principles to support your argument. If you think it might be possible, what would be the steady-state rate of transfer of energy as heat to the house?