EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220100257056
Author: CENGEL
Publisher: YUZU
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Chapter 12.6, Problem 88RP
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Two identical piston-cylinder devices are each filled with 1 kg air at T = 300 K and P = 2 bar. Next, one of the gases undergoes a reversible and isothermal expansion, and the other one expands isentropically.
Both of the gases stop expanding when their final volumes reach twice of their initial volumes.
[5] a) Sketch both of these processes on the same T-S plot. Indicate the direction of the expansion process on the plot. (No need to express the values for T and S on the plot)
[5] b) Sketch both of these processes on the same P-V plot. Indicate the direction of the expansion process on the plot. (No need to express the values for P and V on the plot)
[10] c) Calculate the heat transfer between the air and the surrounding for each process separately.
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One mole of an ideal gas, initially at 20 °C (293.15 K) and 1.50 bar, undergoes the following mechanically reversible changes. It is compressed isothermally to a point such that when it is heated at constant volume to 100 °C (373.15 K) its final pressure is 10 bar. Take Cp = (7/2)R and Cv = (5/2)R.
Hints:
Process 1 to 2: T1 = T2;
Process 2 to 3: (P2/T2) = (P3/T3), thus (P2/T1) = (P3/T3)
Use equations for isothermic and isochoric processes. Wtotal = W12 + W23 and Qtotal = Q12 + Q23.
What is the amount of work involved in the process?
What is the amount of heat transferred in the process?
One mole of an ideal gas, initially at 20 °C (293.15 K) and 1.50 bar, undergoes the following mechanically reversible changes. It is compressed isothermally to a point such that when it is heated at constant volume to 100 °C (373.15 K) its final pressure is 10 bar. Take Cp = (7/2)R and Cv = (5/2)R.
Hints:
Process 1 to 2: T1 = T2;
Process 2 to 3: (P2/T2) = (P3/T3), thus (P2/T1) = (P3/T3)
Use equations for isothermic and isochoric processes. Wtotal = W12 + W23 and Qtotal = Q12 + Q23.
What is the change in internal energy?
What is the change in enthalpy?
Chapter 12 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 3PCh. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - 12–7 Nitrogen gas at 400 K and 300 kPa behaves as...Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...Ch. 12.6 - Prob. 9PCh. 12.6 - Using the equation of state P(v a) = RT, verify...
Ch. 12.6 - Prob. 11PCh. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Prob. 14PCh. 12.6 - Prob. 15PCh. 12.6 - Prob. 16PCh. 12.6 - Prob. 17PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - 12–30 Show that =
Ch. 12.6 - Prob. 31PCh. 12.6 - Prob. 32PCh. 12.6 - Prob. 33PCh. 12.6 - Prob. 34PCh. 12.6 - Prob. 35PCh. 12.6 - Prob. 36PCh. 12.6 - Determine the change in the internal energy of...Ch. 12.6 - Prob. 38PCh. 12.6 - Determine the change in the entropy of helium, in...Ch. 12.6 - Prob. 40PCh. 12.6 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Prob. 44PCh. 12.6 - Prob. 45PCh. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 49PCh. 12.6 - Prob. 50PCh. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Prob. 59PCh. 12.6 - Prob. 60PCh. 12.6 - 12–61E Estimate the Joule-Thomson-coefficient of...Ch. 12.6 - Prob. 62PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 64PCh. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - Prob. 67PCh. 12.6 - Prob. 68PCh. 12.6 - Prob. 69PCh. 12.6 - Prob. 70PCh. 12.6 - Prob. 71PCh. 12.6 - Prob. 72PCh. 12.6 - Prob. 73PCh. 12.6 - Prob. 75PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 78PCh. 12.6 - Prob. 80RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...Ch. 12.6 - Show that cv=T(vT)s(PT)vandcp=T(PT)s(vT)PCh. 12.6 - Temperature and pressure may be defined as...Ch. 12.6 - For ideal gases, the development of the...Ch. 12.6 - Prob. 85RPCh. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 88RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 93RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 96RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - Prob. 100FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - Prob. 102FEPCh. 12.6 - For a gas whose equation of state is P(v b) = RT,...
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- Two identical piston-cylinder devices are each filled with 1 kg air at T = 300 K and P= 2 bar. Next, one of the gases undergoes a reversible and isothermal expansion, and the other one expands isentropically. Both of the gases stop expanding when their final volumes reach twice of their initial volumes. [a) Sketch both of these processes on the same T-S plot. Indicate the direction of the expansion process on the plot. (No need to express the values for T and S on the plot) b) Sketch both of these processes on the same P-V plot. Indicate the direction of the expansion process on the plot. (No need to express the values for P and V on the plot) [ c) Calculate the heat transfer between the air and the surrounding for each process separately.arrow_forwardDetermine the change in entropy of an ideal gas with constant heat capacity, CP=3.5R between the following States: P1= 1 bar, T1= 300k; V2= 0.025m³/mol;T2= 500karrow_forwardAn ideal gas with V = 5x105 cm³, P = 150x103 Pa and T = 293K is contained in a piston-cylinder. The gas is isothermally compressed with a constant external pressure of 400x103 Pa. Assuming the surroundings is at 293K and the gas Cp = 25R: %3D %3D %3D a. Determine the heat transfer during the process b. What is the entropy change of the system, surroundings, and overall? C. Is the process reversible, irreversible, or impossible?arrow_forward
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