The temperature of the cold reservoir sets the limit on the efficiency of a heat engine.
[Note: η = \(1-\frac{T_C}{T_H}\) This formula shows that for maximum efficiency, TC should be as low as possible and TH should be as high as possible.]
For a Carnot engine, efficiency
η = \(1-\frac{T_C}{T_H}\), η →1 as TC → 0