
Concept explainers
(a)
To drive an expression of
(a)

Answer to Problem 40P
The expression of
Explanation of Solution
Write the equation of state of the given gas.
Here, the temperature is
Write the general expression for change in internal energy
Here, the internal energy at state 1, 2 is
Rearrange the Equation (I) to obtain
Conclusion:
Partially differentiate the Equation (III) with respect to temperature by keeping the specific volume as constant.
Substitute
For an isothermal process, the temperature is kept constant.
The differential temperature or change in temperature becomes zero.
Substitute
Thus, the expression of
(b)
To drive an expression of
(b)

Answer to Problem 40P
The expression of
Explanation of Solution
Write the general expression for change in enthalpy
Here, the enthalpy at state 1, 2 is
Rearrange the Equation (V) to obtain
Conclusion:
Partially differentiate the Equation (VI) with respect to temperature by keeping the pressure as constant.
Substitute
For an isothermal process, the temperature is kept constant.
The differential temperature or change in temperature becomes zero.
Substitute
Thus, the expression of
(c)
To drive an expression of
(c)

Answer to Problem 40P
The expression of
Explanation of Solution
Write the general expression for change in entropy
Here, the entropy at state 1, and 2 are
Conclusion:
Substitute
For an isothermal process, the temperature is kept constant.
The differential temperature or change in temperature becomes zero.
Substitute
Thus, the expression of
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Chapter 12 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
- A gas mixture with a molar analysis of 40% CH4 (methane) and 60% air enters a control volume operating at steady state at location 1 with a mass flow rate of 5 kg/min, as shown in the figure below. Air enters as a separate stream at 2 and dilutes the mixture. A single stream exits with a mole fraction of methane of 5%. Assume air has a molar analysis of 21% O2 and 79% N2. (CH4, Air) m₁ = = 5 kg/min Air (21% O2, 79% N₂) 3 + (5% CH4, 95% Air)arrow_forwardArgon (Ar), at T₁ = 350 K, 1 bar with a mass flow rate of m₁ 3 kg/s enters the insulated mixing chamber shown in the figure below and mixes with carbon dioxide (CO2) entering as a separate stream at 575 K, 1 bar with a mass flow rate of 0.5 kg/s. The mixture exits at 1 bar. Assume ideal gas behavior with k = 1.67 for Ar and k = 1.25 for CO2. Argon (Ar) P₁ = 1 bar mT For steady-state operation, determine: (a) the molar analysis of the exiting mixture. (b) the temperature of the exiting mixture, in K. (c) the rate of entropy production, in kW/K. Insulation 3 + Mixture exiting P3 = 1 bar 2+ Carbon dioxide (CO2) T₂ = 575 K P2 = 1 bar m2 = 0.5 kg/sarrow_forwardConsider 0.65 kg of N2 at 300 K, 1 bar contained in a rigid tank connected by a valve to another rigid tank holding 0.3 kg of CO2 at 300 K, 1 bar. The valve is opened and gases are allowed to mix, achieving an equilibrium state at 290 K. Determine: (a) the volume of each tank, in m³. (b) the final pressure, in bar. (c) the magnitude of the heat transfer to or from the gases during the process, in kJ. (d) the entropy change of each gas and of the overall system, in kJ/K.arrow_forward
- 1. For the following two-DOF system, determine the first natural frequency using equation method: Raylieghs m2=2 kg k₂= 80 N/m m₁ =1 kg www k₁= 40 N/marrow_forward(◉ Home - my.uah.edu Homework#5 MasteringEngineering Mastering X + 8 https://session.engineering-mastering.pearson.com/myct/itemView?assignmentProblemID=18992148&offset=nextarrow_forwardCHAPTER 14: Kinetics of a Particle: Conservation of Energy Qu.4 The spring has a stiffness k = 200 N/m and an unstretched length of 0.5 m. If it is attached to the 3- kg smooth collar and the collar is released from rest at A, determine the speed of the collar when it reaches B. Neglect the size of the collar.please show all work step by steparrow_forwardQu. 2 The 100-kg crate is subjected to the action of two forces. If it is originally at rest, determine the distance it slides in order to attain a speed of 6 m/s. The coefficient of kinetic friction between the crate and the surface is uk = 0.2. i need to show all work step by step problemsarrow_forward(◉ Home - my.uah.edu Homework#5 MasteringEngineering Mastering X + 8 https://session.engineering-mastering.pearson.com/myct/itemView?offset=next&assignmentProblemID=18992146arrow_forward(read image)arrow_forwardRecommended textbooks for you
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