Chat with Sunniva on WhatsApp
Skip to Content

2.9 What drives COP: temperature lift and operating conditions

Key idea: COP depends mostly on temperature lift — the gap between the source temperature and the delivery temperature; the smaller the lift, the higher the COP.

Temperature lift is condensing temperature minus evaporating temperature. A small lift is like pumping water up one floor. A big lift is like pumping it up to the tenth floor. The higher the climb, the more work per litre.

Physics sets a ceiling called the Carnot COP. It uses absolute temperatures in kelvin (°C + 273.15). Real heat pumps typically reach about 40–60% of Carnot COP, because of compressor losses, heat exchanger temperature differences and pressure drops.

So COP rises when:

  • the source is warmer (summer air in Chennai beats winter air in Delhi);
  • the delivery water is cooler (45 °C needs less lift than 65 °C);
  • heat exchangers are clean and correctly sized (smaller approach temperatures);
  • water and air flows are correct.
COP vs temperature lift
COP vs temperature lift
Temperature lift (K) Condensing temp (°C) Carnot COP Approx. real COP (50% of Carnot)
20 20 14.7 7.3
30 30 10.1 5.1
40 40 7.8 3.9
50 50 6.5 3.2
60 60 5.6 2.8
70 70 4.9 2.5

All rows assume an evaporating temperature of 0 °C, so condensing temperature equals the lift.

Worked example — same unit, Chennai summer vs Delhi winter, water at 55 °C.

Equation

  • Assume condensing at 60 °C (5 K above water) = 333.15 K.
  • Chennai, air 32 °C, evaporating about 24 °C = 297.15 K. Lift = 36 K. Carnot COP = 333.15 ÷ 36 ≈ 9.3. Real at 50% ≈ 4.6.
  • Delhi winter, air 8 °C, evaporating about 0 °C = 273.15 K. Lift = 60 K. Carnot COP = 333.15 ÷ 60 ≈ 5.6. Real at 50% ≈ 2.8.
  • Daily 17.4 kWh of heat (from lesson 2.1): Chennai 17.4 ÷ 4.6 ≈ 3.8 kWh ≈ ₹34; Delhi 17.4 ÷ 2.8 ≈ 6.2 kWh ≈ ₹56 (₹9/kWh example rate).

Remember

  • Lift is the main driver of COP.
  • Lower the delivery temperature whenever the application allows.
  • Carnot COP is a ceiling; real units reach about half of it (typical).
  • Always quote COP with its test conditions (air and water temperatures).
Common mistake: Comparing two units' COPs measured at different conditions. A COP without its air and water temperatures is meaningless.

COP depends mostly on temperature lift — the gap between the source temperature and the delivery temperature; the smaller the lift, the higher the COP.

Rating
0 0

There are no comments for now.

to be the first to leave a comment.