GATE2012-8

In a parallel flow heat exchanger operating under steady state, hot liquid enters at a temperature T${_h},{_i}{_n}$ and leaves at a temperature T${_h},{_o}{_u}{_t}$. Cold liquid enters at a temperature T${_c},{_i}{_n}$ and leaves at a temperature T${_c},{_o}{_u}{_t}$. Neglect any heat loss from the heat exchanger to the surroundings. If T${_h},{_i}{_n}$ >>T${_c},{_i}{_n}$, then for a given time interval, which ONE of the following statement is true?