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GATE 2018 : Engineering Sciences [Section E / Thermodynamics] (with Final Answer Keys)

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GATE 2018 Thermodynamics (XE-E) XE (E): Q. 1 Q. 9 carry one mark each & Q. 10 Q. 22 carry two marks each. Notation used: P : pressure, V : volume, T : temperature, s : specific entropy, h : specific enthalpy, Cp : molar heat capacity at constant pressure, Cv : molar heat capacity at constant volume, R : universal gas constant Q.1 When a fixed mass of air-water vapour mixture is heated at constant pressure, (A) both relative and specific humidity decrease. (B) relative humidity decreases, but specific humidity remains unchanged. (C) specific humidity decreases, but relative humidity remains unchanged. (D) both relative and specific humidity increase. Q.2 Q.3 For a reversible isothermal expansion of one mole of an ideal gas from state 1 to state 2, the magnitude of work done is P (A) RT ln 1 P2 (B) PV 2 2 PV 1 1 V (C) R ln 1 V2 (D) 0 The statement which is NOT a consequence of the first law of thermodynamics is (A) Heat is a path function (B) Energy is a property of a system (C) Energy of an isolated system is not conserved (D) A perpetual motion machine of the first kind is not possible Q.4 Q.5 For a refrigerator absorbing heat QL from a cold region and rejecting heat QH to a hot region, the coefficient of performance is written as (A) QL QH QL (B) (C) QH QL QL (D) QL QH The value of the compressibility factor at the critical point evaluated using the van der Waals equation of state is (A) XE-E QH QH QL 2 7 (B) 5 8 (C) 3 8 (D) 1 7 1/4

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