THERMODYNAMICS (BASIC GENERAL THERMODYNAMICS, RELATIONS, IC ENGINES) CONCEPTS Select correct option-Circle either a or b 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. Closed system a. Mass exchange with no energy exchange b. Energy exchange with no mass exchange Isobaric process a.V=kT b.TV=k (k=constant) Isochoric process a. P=kT b.PT=k Isothermal process a. P=kV b. PV=k (1/γ) (γ) Reversible Adiabatic/isentropic process a. PV =k b. PV =k n-1 n Polytrophic process a. TV =k b. TV =k 0th Law a. pressure b. temperature Isobaric work a. PdV b. VdP Isochoric work a. 0 b. >0 Isothermal work a.P1V1*ln(V2/V1) b. (P1/V1)*ln(V2/V1) Polytrophic work a.(P1V1-P2V2)/n b.(P1V1-P2V2)/(n-1) Heat transfer into system and Work transfer out of system is a. + b.a.Ein-Eout=ΔEsystem b. Ein/Eout=ΔEsystem a.Ein-Eout=Qin-Qout+Wout-Win+Emassin-Emassout b. Ein-Eout=Qin-Qout+Win-Wout+Emassin-Emassout a.W-Q=(dm/dt){h2-h1+0.5(V22-V12)+g(z2-z1)} b. Q-W=(dm/dt){h2-h1+0.5(V22-V12)+g(z2-z1)} Boiler heat a. Hout-Hin b.Hin-Hout Condenser heat a Hout-Hin b.Hin-Hout Compressor work a Hout-Hin b.Hin-Hout Turbine work a Hout-Hin b.Hin-Hout Nozzle a. Vout>Vin b.Vin >Vout Nozzle Vout is a.Sqrt(2Cp(Tout-Tin)) b. Sqrt(2Cp(Tin-Tout)) Diffuser a. Vout>Vin b.Vin >Vout Throttling a. Δh=0 b. Δh≠0 Work input for pump a. g(ΔHeight) b. 0.5*Velocity2 Heat exchanger a. ΔHcold= ΔHhot b. ΔHcold≠ ΔHhot Input heat from single reservoir and produce net-work ; no rejection to heat sink a. Kelvin-Plank b.Clausis Input heat from single source and output to a single sink; produce no net-work a. Kelvin-Plank b.Clausis Work in a PV diagram a. Area b. Perimeter*Perimeter Isothermal process a. Δu≠0 b. Δu=0 Mass flow rate a. ρAV b.AV Power transport by mass in a. (dm/dt)*Cp*T b. (dρ/dt)*Cp*T ηcarnot a. 1-(Tlow/Thigh) b. (Thigh/Tlow)-1 A vapour about to condense is a. saturated vapour b. super saturated vapour Dryness fraction a. (massvapour)/( massvapour+ masswater) b. (masswater)/( massvapour+ masswater) a.V=x*Vg b.Vg=x*V (g≈ gas, fg≈ fluid+gas, f≈fluid) a. hf=h+x*hfg b. h=hf+x*hfg a. sfg=s+x*sf b. s=sf+x*sfg a.Vsup*Tsat= Vsat*Tsup b. a.Vsup*Tsup= Vsat*Tsat (Sup ≈ Superheated) a. h=hg+Cp(Tsup-Tsat) b. h=hg+Cv(Tsup-Tsat) a. s=sg+Cp*ln(Tsup/Tsat) b. s=sg+Cv*ln(Tsup/Tsat) a. h+pv=u b.h=u+pv a. Cp-Cv=R and Cp/Cv=γ b. Cp-Cv= γ and Cp/Cv=R Avogadro No. a. 6.023/1023 b. 6.023*1023 Universal gas constant=R a.8.314 kJ/(kg mol K) b. 0.287 kJ/(kg mol K) No of moles =n a. mass/atomicnumber b. mass/molecularweight a. γmonoatomic=1.67, γdiatomic=1.4, γtriatomic=1.33 b. a. γmonoatomic=1.33, γadiatomic=1.4, γtriatomic=1.67 Z=Compressibility factor a.RT/(PV) b. PV/(RT) Z>1 a. Volume of real gas > Volume of ideal gas a. Volume of real gas < Volume of ideal gas Real gas a. (P-a/V2)(V+b)=RT b. (P+a/V2)(V-b)=RT Insulated Cylinder with two gases X and Y and partitioned has a. (ΔU)X+(ΔU)Y=0 b. (ΔU)X-(ΔU)Y=0 Entropy a. ΔS=ΔQ/T b. ΔS=ΔW/T Reversible or Irreversible process a. Sgen<0 b. Sgen≥0 Entropy change for heat transfer between reservoirs a. (Q/T H-Q/TL) b. (–Q/TH+Q/TL) Useful work potential is a. Availability b. Irreversibility Wasted work potential is a. Availability b. Irreversibility Irreversible heat engine a. ʃδQ>0 and ʃ(δQ/T)<0 b. ʃδQ>0 and ʃ(δQ/T)>0 Δs/m= a. Cp.ln(T2/T1)+Rln(P2/P1) b. Cp.ln(T2/T1)-Rln(P2/P1) Reversiblework/m = a. Δu-To.Δs+PdV b. Δu-To.Δh+PdV Availability a. h+PoV-ToS b. u+PoV-ToS Δs/m= a. Cp.ln(T2/T1)+Rln(V2/V1) b. Cp.ln(T2/T1)-Rln(V2/V1) The Gate Academy-Vijayawada THERMODYNAMICS (BASIC GENERAL THERMODYNAMICS, RELATIONS, IC ENGINES) CONCEPTS Select correct option-Circle either a or b 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. 77. 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. 99. 100. 101. 102. 103. 104. 105. 106. 107. 108. 109. 110. 111. 112. 113. 114. 115. Rate of entropy generation (Irreversibility rate :pressure drop due to friction) a. mR(ΔP/P1) b. mR(ΔS/S1) Availability (VdP)= a. (h1-h2)-To(s1-s2) b. (u1-u2)-To(s1-s2) Irreversibility a. To ΔS b. To/ΔS Reversible engine with 2 sources and1 sink a. (Q1/T1)+(Q2/T2)-(Q3/T3)=0 b. (Q1/T1)+(Q2/T2)+(Q3/T3)=0 Carnot Cycle a. 2 adiabatic and 2 isentropic b. 2 adiabatic and 2 isothermal Stirling Cycle a. 2 isochoric and 2 isothermal b. 2 isochoric and 2 isentropic Ericson Cycle a. 2 isochoric and 2 isentropic b. 2 isobaric and 2 isothermal Reversible process a. dW=VdP and dQ=SdT b. dW=PdV and dQ=TdS a. dU=TdS-PdV b. dU=TdS+PdV a. dH=TdS-VdP b. dH=TdS+VdP Helmholtz a. dA= -SdT-PdV b. dA= -SdT+PdV Gibbs a. dG= -SdT+VdP b. dG= -SdT-VdP a. (δT/ δV)S= -(δP/ δS)V b. (δT/ δV)T=-(δP/ δS)P a. (δT/ δP)S= -(δV/ δS)P b. (δT/ δP)S= (δV/ δS)P a. (δS/ δV)V= (δP/ δT)T b. (δS/ δV)T= (δP/ δT)V a. (δS/ δP)T= -(δV/ δT)P b. (δS/ δP)P=(δV/ δT)V Volume Expansivity a. β=( δV/ δT)*(1/V) b. β= -( δV/ δP)*(1/V) Isothermal Compressibility a. α=( δV/ δT)*(1/V) b. α = -( δV/ δP)*(1/V) a.Cp-Cv=(VT α 2)/ β b.Cp-Cv=(VT β2)/ α a. Cp≥Cv b. Cv≥Cp At Temperature =0 K a. Cp-Cv ≈ 1 b. Cp-Cv ≈ 0 Joule Thompson Coefficient a. μjt =(δT/ δP)h b. μjt =(δT/ δP)S a. Cooling = μjt > 0, Warming = μjt < 0 b. Cooling = μjt < 0, Warming = μjt >0 a. μjt = [T(δv/ δT)P-v]/Cp b. μjt = [T(δv/ δT)P-v]/Cv For IC engines a. Weight:Power is maximum a. Weight:Power is minimum Piston rings are made of a. Steel b. Silicon Cast Iron Bearings are made of a. White Metal b. Soft Grey Metal Cylinder liners are made of a. Al -alloy steel b. Ni- alloy steel Piston Swept Volume (Vs) a. Area*Length b. Perimeter2*Length (Compression Ratio-1) a. Vs/Vc b. Vc/Vs Volumetric Efficiency a. 4stroke>2stroke b. 4stroke<2stroke 4stroke has __;2stroke has ___ a. ports ; valves b. valves; ports Thermal Efficiency a. Diesel> Petrol b. Diesel< Petrol Indicated Thermal Efficiency a. IP/(mf*Lower Heat Calorific Value) b. IP/(mf*Higher Heat Calorific Value) Brake Thermal Efficiency a. BP/(mf*Lower Heat Calorific Value) b. BP/(mf*Higher Heat Calorific Value) Mechanical Efficiency a. IP/BP b. BP/IP Volumetric Efficiency a. Swept.Vol/Act.Vol b. Act.Vol/Swept.Vol Relative Efficiency a. Actual.Therm.η /Air.Std. η b. Air.Std. η / Actual.Therm. η Brake Specific fuel Consumption & Ind. SFC a. mf/(BP-IP), mf/(IP-BP) b. mf/(BP), mf/(IP), Single Cylinder-4 Stroke Ind.Mean.Eff.Pressure/60 a. (2*IP/(LAN)) b. (IP/(LAN)) Equivalence Ratio for rich mixture is Air Fuel Ratio a. Act/ Stoic b. Stoic/ Act Equivalence Ratio for rich mixture is a.<1 b.>1 Otto Cycle a. Heat Addition and rejection @ Cv b. Heat Addition and rejection @ Cp Otto Cycle Efficiency a. 1- [1/r(γ-1)] b. 1- [1/r(γ)] Diesel Cycle a. Heat Addition @ Cv and rejection @ Cp b. Heat Addition @ Cp and rejection @ Cv γ Diesel Cycle Efficiency if {(ρ -1)/(ρ-1)} =c a. {1- [1/r(γ-1)]}*c b. {1- [1/r(γ-1)]}*(c/γ) Diesel Cycle a. Cut-off Ratio = Comp.ratio/Expan.ratio b. Cut-off Ratio = Expan.ratio/Comp.ratio Dual Cycle has a. 2 Cp and 1 Cv processes b. 2 Cv and 1 Cp processes For Max.Pressure and Max.Temperature Efficiencies a. diesel>dual>otto b. diesel<dual<otto Idling(I),Cruising(C),Max.Power(P),ColdStarting(S) |A/F ratios | a. S>P>I>C b. S>I>P>C Mean Eff.Pressure a. (Work Done/Cycle)/ Swept Volume b. (Work Done/Cycle)/ Clearance Volume Mass of Air Fuel Mixture if A/F is air fuel ratio a. (A-F) kg/kg of fuel b. (A+F) kg/kg of fuel In 4stroke Swept Volume/second a. 0.8*D2*L* no.of cylinders*rpm/60 b. 0.8*D2*L* no.of cylinders*rpm/120 In 4Stroke no. of revolutions in one cycle a. 1 b.2 Torque in Nm, Power in kW is, N in rpm a. (2πNT/60000) b. (2πNT/60) The Gate Academy-Vijayawada