GATE ME 2019 Set 2 — Question 57
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Thermodynamics → Laws & Properties → Availability, Exergy & Irreversibility
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Question
Water flowing at the rate of through a system is heated using an electric heater such that the specific enthalpy of the water increases by and the specific entropy increases by . The power input to the electric heater is . There is no other work or heat interaction between the system and the surroundings. Assuming an ambient temperature of , the irreversibility rate of the system is ______ kW (round off to two decimal places).
Correct answer
2.05 to 2.15
Solution
Given:
Mass flow rate,
Increase in specific enthalpy,
Increase in specific entropy,
Power input,
Ambient temperature, Step 1: Energy balance for the system
Since there is no other heat interaction with the surroundings, .
. This is consistent with the given data.Step 2: Calculate the entropy generation rate ()
For a steady flow system:
Since :
Step 3: Calculate the irreversibility rate ()
Rounding off to two decimal places, the irreversibility rate is .
Mass flow rate,
Increase in specific enthalpy,
Increase in specific entropy,
Power input,
Ambient temperature, Step 1: Energy balance for the system
Since there is no other heat interaction with the surroundings, .
. This is consistent with the given data.Step 2: Calculate the entropy generation rate ()
For a steady flow system:
Since :
Step 3: Calculate the irreversibility rate ()
Rounding off to two decimal places, the irreversibility rate is .
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