Homework Answers
To derive the given relationship, we should start with deriving
the entropy changes in ideal gas. After that, since the process is
given as isentropic, the entropy change will be zero. The
attachments show the derivation of entropy change in ideal gas
along with the derivation of a given relationship with the values
of constant.
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HW PROBLEM 5. Consider the isentropic compression/expansion of an ideal gas in a closed system defined...
One mole of an ideal gas in a closed system undergoes a mechanically reversible adiabatic compression...
One mole of an ideal gas in a closed system undergoes a mechanically reversible adiabatic compression process and changes from V1= 0.05 m^3 and P1= 1 bar to P2= 12 bar. Calculate Q, W, ∆U, and ∆H of the process. If the process will become irreversible with 50% efficiency, calculate the W, Q, ∆U, and ∆H.
Consider a reversible adiabatic expansion of 1.00 mol of an ideal gas, starting from 1.90 L...
Consider a reversible adiabatic expansion of 1.00 mol of an ideal gas, starting from 1.90 L and 415 K , if 2.0 kJ of work is done by the expansion. The molar heat capacity at constant volume of the gas is 2.5R. R = 8.314 JK−1mol−1. Determine the final temperature of the gas in the process. Determine the final volume of the gas in the process. Determine the final pressure of the gas in the process.
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...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
Ch 19 HW Relationships between Molar Heat Capacities 9 of 23 Constants The amount of heat needed to raise the temperatu...
Ch 19 HW Relationships between Molar Heat Capacities 9 of 23 Constants The amount of heat needed to raise the temperature of 1 mole of a substance by one Celsius degree (or, equivalently, one kelvin) is called the molar heat capacity of the system, denoted by the letter C. If a small amount of heat dQ is put into n moles of a substance, and the resulting change in temperature for the system is dT, then Part A Consider an...
Problem 3 In modern high-speed compression ignition engines, fuel is injected into the combustion chamber much...
Problem 3 In modern high-speed compression ignition engines, fuel is injected into the combustion chamber much sooner than in early diesel engines. That means, heat is added partly at constant volume and partly at constant pressure. The advantage of this modification is that more time is available for the fuel to completely combust. The ideal dual cycle consists of the following operations: • Process -: Isentropic compression • Process -3: Addition of heat at constant volume. • Process - Addition...
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while...
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3...
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext"- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two...
any help thank you Chapter 12 Ideal Gas Mixtures and Psychrometric Applications Converting Between Mass Fraction...
any help thank you
Chapter 12 Ideal Gas Mixtures and Psychrometric Applications Converting Between Mass Fraction and Mole Fraction Mass Fraction Mole Fraction m/M y, M M mf M cy, MM m/M Example 1: Determine the mf CO2 0.04 MW mix mixture molecular weight mf_N2 0.7 m mix (kg) (kg/kmol), specific volume mf_02 0.2 0.06 (m®/kg), and mole fraction for mf_H20 T(C) 40 a gas mixture given the mass P (bar) 1 fraction, temperature, pressure and volume. V(m3) Example 2:...
Problem 4 Consider a gas power cycle executed in a closed system with 0.08 kg of...
Problem 4 Consider a gas power cycle executed in a closed system with 0.08 kg of gas. The gas is initially at 120 kPa, 2°C. First,910 kJ/kg of heat is added under constant volume. Then, more heat is added under constant pressure such that the gas reaches 1387°C. Then, the gas is expanded isentropically to 120 kPa. Finally, heat is rejected from the system under constant pressure such that it returns the gas to its initial state. Assuming air-standard cycle...
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...
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
Ch 19 HW Relationships between Molar Heat Capacities 9 of 23 Constants The amount of heat needed to raise the temperature of 1 mole of a substance by one Celsius degree (or, equivalently, one kelvin) is called the molar heat capacity of the system, denoted by the letter C. If a small amount of heat dQ is put into n moles of a substance, and the resulting change in temperature for the system is dT, then Part A Consider an...
Problem 3 In modern high-speed compression ignition engines, fuel is injected into the combustion chamber much sooner than in early diesel engines. That means, heat is added partly at constant volume and partly at constant pressure. The advantage of this modification is that more time is available for the fuel to completely combust. The ideal dual cycle consists of the following operations: • Process -: Isentropic compression • Process -3: Addition of heat at constant volume. • Process - Addition...
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...
I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext"- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two...
any help thank you
Chapter 12 Ideal Gas Mixtures and Psychrometric Applications Converting Between Mass Fraction and Mole Fraction Mass Fraction Mole Fraction m/M y, M M mf M cy, MM m/M Example 1: Determine the mf CO2 0.04 MW mix mixture molecular weight mf_N2 0.7 m mix (kg) (kg/kmol), specific volume mf_02 0.2 0.06 (m®/kg), and mole fraction for mf_H20 T(C) 40 a gas mixture given the mass P (bar) 1 fraction, temperature, pressure and volume. V(m3) Example 2:...
Problem 4 Consider a gas power cycle executed in a closed system with 0.08 kg of gas. The gas is initially at 120 kPa, 2°C. First,910 kJ/kg of heat is added under constant volume. Then, more heat is added under constant pressure such that the gas reaches 1387°C. Then, the gas is expanded isentropically to 120 kPa. Finally, heat is rejected from the system under constant pressure such that it returns the gas to its initial state. Assuming air-standard cycle...
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