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GATE 2015 : Engineering Sciences [Section E]

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GATE 2015 THERMODYNAMICS XE-E E : THERMODYNAMICS Notation used: P-pressure, V-volume, T-temperature, S-entropy, H-enthalpy, U-internal energy, Cp, Cv specific heats. Specific properties are designated by lower case symbols. Subscript f refers to saturated liquid and subscript g refers to saturated vapor. Useful data: Universal gas constant = 8.314 kJ/kmol K Molecular mass of air in kg/kmol = 29 Specific heat ratio of air ( air ) = 1.4 Q. 1 Q. 9 carry one mark each. Q.1 A gas expands following the relation PVn = constant, from the initial state P1,V1 to final volume V2 = 2V1. For the values of n mentioned below, maximum displacement work is obtained for (A) n = 1 (B) n = 0 (C) n = 1 (D) n = 1.4 Q.2 A 100 electrical resistor is heated steadily by passing a current of 20 A. If heating is performed in the ambient at 30 C, the rate of increase in entropy of the universe in kW/K is ______. Q.3 As per Clausius inequality, a system operating on an irreversible cycle transfers (A) more entropy to the sink than what it receives from the source (B) as much entropy to the sink as it receives from the source (C) less entropy to the sink than what it receives from the source (D) less entropy to the sink than that corresponding to a reversible cycle Q.4 The critical point of a substance corresponds to the state (A) at which the solid, liquid and vapor phases are in equilibrium (B) beyond which liquid will require very large amount of heat to become vapor (C) beyond which solid sublimates directly to the vapor state (D) beyond which the distinction between liquid and vapor phases disappears Q.5 Consider the process of sensible cooling of air with 60% relative humidity at constant pressure. Which one of the following statements is TRUE for this process? (A) Both humidity ratio and relative humidity increase during the process. (B) The humidity ratio decreases continuously due to condensation. (C) The dry bulb temperature decreases but the wet bulb temperature increases. (D) The humidity ratio remains constant. Q.6 XE-E The coefficient of performance (COP) of a reversible refrigerator operating between two thermal reservoirs is 4.0. The efficiency (in percentage) of a reversible heat engine operating between the same temperature limits is _______. 1/3

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