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An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5˚ C, 105 kPa with a volume flow rate of 1.25 m3/s during steady state operation. Fresh air enters the mixing chamber at 34˚ C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24˚ C 
Assuming the air behaves as an ideal gas with 1.005 kJ/kg.K and =0.287 kJ/kg.K,p C =R the rate of heat gain by the air from the room is________kW (round off to two decimal places). 
    Correct answer is '4.96'. Can you explain this answer?
    Most Upvoted Answer
    An air-conditioning system provides a continuous flow of air to a room...
    Given:

    Temperature of fresh air = 340C ,  
    Temperature of cold air = 50C ,  
    Specific heat at constant pressure, (Cp) 1.005 kJ/kgK
    Characteristic gas constant, ( R) = 0.287 kJ/ kgK

    State 1 : 


    Energy balance for mixing chamber : 

    Load calculation for the room (heat taken by the air) 
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    An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5 C, 105 kPa with a volume flow rate of 1.25 m3/s during steady state operation. Fresh air enters the mixing chamber at 34 C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24 CAssuming the air behaves as an ideal gas with 1.005 kJ/kg.K and =0.287 kJ/kg.K,p C =R the rate of heat gain by the air from the room is________kW (round off to two decimal places).Correct answer is '4.96'. Can you explain this answer?
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    An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5 C, 105 kPa with a volume flow rate of 1.25 m3/s during steady state operation. Fresh air enters the mixing chamber at 34 C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24 CAssuming the air behaves as an ideal gas with 1.005 kJ/kg.K and =0.287 kJ/kg.K,p C =R the rate of heat gain by the air from the room is________kW (round off to two decimal places).Correct answer is '4.96'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5 C, 105 kPa with a volume flow rate of 1.25 m3/s during steady state operation. Fresh air enters the mixing chamber at 34 C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24 CAssuming the air behaves as an ideal gas with 1.005 kJ/kg.K and =0.287 kJ/kg.K,p C =R the rate of heat gain by the air from the room is________kW (round off to two decimal places).Correct answer is '4.96'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air stream. The two streams are mixed in an insulated mixing chamber located upstream of the intake duct. Cold air enters the mixing chamber at 5 C, 105 kPa with a volume flow rate of 1.25 m3/s during steady state operation. Fresh air enters the mixing chamber at 34 C and 105 kPa. The mass flow rate of the fresh air is 1.6 times of the cold air stream. Air leaves the room through the exit duct at 24 CAssuming the air behaves as an ideal gas with 1.005 kJ/kg.K and =0.287 kJ/kg.K,p C =R the rate of heat gain by the air from the room is________kW (round off to two decimal places).Correct answer is '4.96'. Can you explain this answer?.
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