![4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static expansion, its pressure and volume are related by p = constant. where γ = cp/cv is the ratio of heat capacities. If the gas expands from an initial volume Vi at temperature T to a final volume V2, calculate the final temperature T2 in terms of γ, Vi, Ti, and ½.](http://img.homeworklib.com/questions/69ed14e0-d2c4-11ea-a13c-8715ac0f6352.png?x-oss-process=image/resize,w_560)
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4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static...
In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means...
In this problem you are to consider an adiabaticexpansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Assume that the gas is initially at pressure p0, volume V0, and temperature T0. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is γ=Cp/CV=7/5. Note that, unless explicitly stated, the variable γ should not appear in...
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression...
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression from Pu V1, T1 to P2, V2, T2 An isobaric expansion from P2, V2, T2 to P3 P2, Vs, T3 - An adiabatic expansion from P3, Vs, Ts to Pa, V4, T4 - A constant-volume process from Pa, V4, T4 to Pi, VV4, T1 (a) Sketch this cycle on a PV diagram (b) Derive an equation that expresses the thermal efficiency (n) of this...
A 0.450-mol sample of an ideal diatomic gas at 372 kPa and 312 K expands quasi-statically
A 0.450-mol sample of an ideal diatomic gas at 372 kPa and 312 K expands quasi-statically until the pressure decreases to 147 kPa. Find the final temperature and volume of the gas, the work done by the gas, and the heat absorbed by the gas if the expansion is the following. (a) Isothermal final temperature _______ volume of the gas _______ work done by the gas _______ heat absorbed _______ (b) adiabatic final temperature _______ volume of the gas _______ work done by the gas _______ heat absorbed _______
An ideal gas, initially at P1 = 0.75 bar, undergoes an adiabatic expansion from V1 =...
An ideal gas, initially at P1 = 0.75 bar, undergoes an adiabatic expansion from V1 = 10.0 L to V2 = 30.0 L. What is the final pressure and temperature of this gas? Explain how you got this.
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is...
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is divided into two parts with a frictionless, insulating, movable piston. The gases on both sides are initially at equilibrium with identical pressure, volume, and temperature (P,:V0:10). The gas is ideal with Cv-3R/2 and Cp/Cv-5/3. By means of a heating coil in the gas on the left hand side, heat is slowly supplied to the gas on the left until the pressure reaches...
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas...
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas decreases from 800.0K to 500.OK. The initial volume of the gas is 0.10 m². a. What is the final volume and pressure of the gas, after expansion? b. What is the change in internal energy of the gas? C. Calculate the work associated with this process.
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
Item 10 In this problem you are to consider an adiabatic expansion of an ideal diatomic...
Item 10 In this problem you are to consider an adiabatic expansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Part A Assume that the gas is initially at pressure Po, volume V. and temperature To. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is y=Cp/Cy = 7/5. Find an analytic expression for...
A monatomic ideal gas at room temperature undergoes an adiabatic process such that its final pressure...
A monatomic ideal gas at room temperature undergoes an adiabatic
process such that its final pressure is 3.75 times its initial
pressure.
a) Did the gas expand or contract?
(b) What is the ratio of its final volume to its initial
volume?
A monatomic ideal gas at room temperature undergoes an adiabatic process such that its final pressure is 3.75 times its initial pressure. (a) Did the gas expand or contract? o expand o contract (b) What is the ratio...
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement...
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement in an initial state (T1, P1, Vi ). 1 mole of the real gas that is expressed by the following equation of state under the investigation. Now, the gas is expanded so as to fill the final state of (T2, P2, V2 ). Suppose that any possible temperature dependence of Cy is negligibly small and the molar heat capacity is approximately equal to 2"...
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression from Pu V1, T1 to P2, V2, T2 An isobaric expansion from P2, V2, T2 to P3 P2, Vs, T3 - An adiabatic expansion from P3, Vs, Ts to Pa, V4, T4 - A constant-volume process from Pa, V4, T4 to Pi, VV4, T1 (a) Sketch this cycle on a PV diagram (b) Derive an equation that expresses the thermal efficiency (n) of this...
[2 ideal gas, thermodynamics process] A cylinder closed at both ends equipped with insulating (adiabatic) walls, and is divided into two parts with a frictionless, insulating, movable piston. The gases on both sides are initially at equilibrium with identical pressure, volume, and temperature (P,:V0:10). The gas is ideal with Cv-3R/2 and Cp/Cv-5/3. By means of a heating coil in the gas on the left hand side, heat is slowly supplied to the gas on the left until the pressure reaches...
13.A monatomic ideal gas (N=9.1x1023), undergoes adiabatic expansion. During the expansion, the temperature of the gas decreases from 800.0K to 500.OK. The initial volume of the gas is 0.10 m². a. What is the final volume and pressure of the gas, after expansion? b. What is the change in internal energy of the gas? C. Calculate the work associated with this process.
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
Item 10 In this problem you are to consider an adiabatic expansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Part A Assume that the gas is initially at pressure Po, volume V. and temperature To. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is y=Cp/Cy = 7/5. Find an analytic expression for...
A monatomic ideal gas at room temperature undergoes an adiabatic
process such that its final pressure is 3.75 times its initial
pressure.
a) Did the gas expand or contract?
(b) What is the ratio of its final volume to its initial
volume?
A monatomic ideal gas at room temperature undergoes an adiabatic process such that its final pressure is 3.75 times its initial pressure. (a) Did the gas expand or contract? o expand o contract (b) What is the ratio...
8. Initially, 1 mole of the real gas is contained in a thermally insulated piston-cylinder arrangement in an initial state (T1, P1, Vi ). 1 mole of the real gas that is expressed by the following equation of state under the investigation. Now, the gas is expanded so as to fill the final state of (T2, P2, V2 ). Suppose that any possible temperature dependence of Cy is negligibly small and the molar heat capacity is approximately equal to 2"...
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