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GATE ME 2019 Set 1 — Question 43

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MCQ+2 / -0.67MediumZeroth & First LawsLaws & PropertiesThermodynamicsIdeal & Real Gas Behaviour

Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour

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Question

A gas is heated in a duct as it flows over a resistance heater. Consider a 101 kW electric heating system. The gas enters the heating section of the duct at 100 kPa and 27∘C27^\circ\text{C} with a volume flow rate of 15 m3/s15 \text{ m}^3/\text{s}. If heat is lost from the gas in the duct to the surroundings at a rate of 51 kW, the exit temperature of the gas is
(Assume constant pressure, ideal gas, negligible change in kinetic and potential energies and constant specific heat; Cp=1 kJ/kg⋅KC_p = 1 \text{ kJ/kg}\cdot\text{K}; R=0.5 kJ/kg⋅KR = 0.5 \text{ kJ/kg}\cdot\text{K})
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