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In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature $T_{h,in}$ and leaves at a temperature $T_{h,out}$. Cold liquid enters at a temperature $T_{c,in}$ and leaves at a temperature $T_{c,out}$. Neglect any heat loss from the heat exchanger to the surroundings. If $T_{h,in} >>T_{c,in}$, then for a given time interval, which ONE of the following statement is true?

  1. Entropy gained by the cold stream is $\text{GREATER}$ than entropy lost by the hot stream
  2. Entropy gained by the cold stream is $\text{EQUAL}$ than entropy lost by the hot stream
  3. Entropy gained by the cold stream is $\text{LESS}$ than entropy lost by the hot stream
  4. Entropy gained by the cold stream is $\text{ZERO}$
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