Carnot Heat Engine to Carnot Heat Pump

[keith river]

We have a carnot engine with Th = 800 degrees Celsius, and Tc = 50 degrees Celsius.
This produces a work which is drives a carnot heat pump which has heat reservoirs at Th' = 50 degrees celsius and Tc' = 0 degress Celsius.
What is the ratio of heat absorbed by the Heat Engine to the heat absorbed by the heat pump.

I know the ratio from Qh/Qc for the heat engine would be Th/Tc but when I was planning on doing the same for a heat pump (Qh'/Qc') but It doesn't work out as the ratio would be infinite (divides by 0)
I was going to rearrange for Qh/Qc' as these are the heats absorbed by the heat engine and pump respectfully but this also would be infinite.

 

[Andrew Mason]

We have a carnot engine with Th = 800 degrees Celsius, and Tc = 50 degrees Celsius.
This produces a work which is drives a carnot heat pump which has heat reservoirs at Th' = 50 degrees celsius and Tc' = 0 degress Celsius.
What is the ratio of heat absorbed by the Heat Engine to the heat absorbed by the heat pump.

I know the ratio from Qh/Qc for the heat engine would be Th/Tc but when I was planning on doing the same for a heat pump (Qh'/Qc') but It doesn't work out as the ratio would be infinite (divides by 0)
I was going to rearrange for Qh/Qc' as these are the heats absorbed by the heat engine and pump respectfully but this also would be infinite.

You are using the wrong scale for temperature.

AM

 

[keith river]

Thanks AM
I can't believe I never noticed that before. Such a simple problem.