Homework Answers
Here we apply definition of isothermal process and definition of work for each process.
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A 1.00-mol sample of an ideal diatomic gas is allowed to expand. This expansion is represented...
1.00-mol sample of N2 gas at 20.09C and 5.00 atm is allowed to expand adiabatically and...
1.00-mol sample of N2 gas at 20.09C and 5.00 atm is allowed to expand adiabatically and quasi- C. After it reaches a temperature of 20.09C, it is heated at constant volume until its pressure 72..A stati cally until its pressure equals 1.00 atm. It is then heated at constant pressure until its temperature is is again 5.00 (a) Construct a PV diagram showing each process in the cycle. (b) From your graph, determine the work done by the gas during...
A Carnot cycle is conducted using an ideal diatomic gas. Initially, the gas is at temperature...
A Carnot cycle is conducted using an ideal diatomic gas. Initially, the gas is at temperature 25C., pressure of 100KPa and volume of 0.01m3. The system is then compressed isothermally to a volume 0.002m3. From that point, the gas undergoes an adiabatic compression ( with gamma= 1.4), until the volume further reduces to 0.001m3. After that, the system goes an isothermal expansion process to a point where the pressure of the system is 263.8KPa. Then the system continues the cycle...
The working substance of an engine is 1.00 mol of a diatomic ideal gas. The engine...
The working substance of an engine is 1.00 mol of a diatomic ideal gas. The engine operates in a cycle consisting of three steps: (1) an adiabatic expansion from an initial volume of 9.00 L to a pressure of 1.00 atm and a volume of23.4 L, (2) a compression at constant pressure to its original volume of 9.00 L, and (3) heating at constant volume to its original pressure. Find the efficiency of this cycle.
A gas is heated and is allowed to expand such that it follows a single straight-line...
A gas is heated and is allowed to expand such that it follows a single straight-line path on a PV diagram from its initial state to its final state. The initial state of 1.00 mol of a dilute gas is P1 = 3 atm, V1 = 0.99 L, and Eint 1 = 466 J, and its final state is P2 = 2 atm, V2 = 3.03 L, and Eint 2 = 892 J. (a) Illustrate this process on a diagram...
10.0 L of an ideal diatomic gas at 1.00 atm and 200 K are contained in...
10.0 L of an ideal diatomic gas at 1.00 atm and 200 K are contained in a cylinder with a piston. The gas first expands isobarically to 30.0 L (step 1). It then contracts adiabatically back to its original volume (step 2), and then cools isochorically back to its original pressure (step 3). a) Show the series of processes on a pV diagram. b) Calculate the temperature, pressure, and volume of the system at the end of each step in...
A 1.00 mole sample of an ideal monatomic gas, originally at a pressure of 1.00 atm,...
A 1.00 mole sample of an ideal monatomic gas, originally at a pressure of 1.00 atm, undergoes, undergoes a three-step process. (1) It is expanded adiabatically from T1 = 550 K, to T2 = 389 K; (2) it is compressed at constant pressure until the temperature reaches T3; (3) it then returns to its original temperature and pressure by a constant volume process. (a) Plot these processes on a PV diagram. (b) Determine T3. (c) Calculate the change in internal energy, the...
1.00 mile of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial...
1.00 mile of a monoatomic ideal gas at 298 K undergoes
isothermal expansion from an initial pressure of 12.0 bar to 5.00
bar. Calculate the work if the expansion is done
a) against a constant external pressure
b) reversibly and isothermally.
Problem 3 1.00 mole of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial pressure of 12.0 bar to 5.00 bar. Calculate the work if the expansion is done (a) against a constant external pressure...
Suppose that we allow 3.50 mol of an ideal gas with Cv=5R/2 to expand isothermally and...
Suppose that we allow 3.50 mol of an ideal gas with Cv=5R/2 to expand isothermally and reversibly from 100 atm, 10 L to 10.0 atm and then the gas is allowed to expand adiabatically and reversibly to a final pressure of 1.00 atm. Calculate q, w, ΔU and ΔH for each step and the total values for the two steps. Suppose now that the processes are carried out irreversibly with pressure dropping discontinuously from 100 atm to 10.0 atm in...
An ideal gas is allowed to expand isothermally until it reaches its final volume. It is...
An ideal gas is allowed to expand isothermally until it reaches its final volume. It is then heated at constant volume until it reaches its final pressure. The initial state of the gas is P1 = 2.93 atm, V1 = 1.00 L, and Eint 1 = 414 J, and its final state has volume V2 = 2.93 L and Eint 2 = 951 J. 1) Calculate the work done by the gas. Be careful with signs: if the work you...
The working substance of an engine is 1.00 mol of diatomic gas. The engine operates in...
The working substance of an engine is 1.00 mol of diatomic gas. The engine operates in a cycle consisting of three steps: (1) an adiabatic expansion from an initial volume of 9.00 L to a pressure of 1.00 atm and a volume of 30.6 L, (2) a compression at constant pressure to its original volume of 9.00 L, and (3) heating at constant volume to its original pressure. Find the efficiency of this cycle.
1.00-mol sample of N2 gas at 20.09C and 5.00 atm is allowed to expand adiabatically and quasi- C. After it reaches a temperature of 20.09C, it is heated at constant volume until its pressure 72..A stati cally until its pressure equals 1.00 atm. It is then heated at constant pressure until its temperature is is again 5.00 (a) Construct a PV diagram showing each process in the cycle. (b) From your graph, determine the work done by the gas during...
10.0 L of an ideal diatomic gas at 1.00 atm and 200 K are contained in a cylinder with a piston. The gas first expands isobarically to 30.0 L (step 1). It then contracts adiabatically back to its original volume (step 2), and then cools isochorically back to its original pressure (step 3). a) Show the series of processes on a pV diagram. b) Calculate the temperature, pressure, and volume of the system at the end of each step in...
1.00 mile of a monoatomic ideal gas at 298 K undergoes
isothermal expansion from an initial pressure of 12.0 bar to 5.00
bar. Calculate the work if the expansion is done
a) against a constant external pressure
b) reversibly and isothermally.
Problem 3 1.00 mole of a monoatomic ideal gas at 298 K undergoes isothermal expansion from an initial pressure of 12.0 bar to 5.00 bar. Calculate the work if the expansion is done (a) against a constant external pressure...
An ideal gas is allowed to expand isothermally until it reaches its final volume. It is then heated at constant volume until it reaches its final pressure. The initial state of the gas is P1 = 2.93 atm, V1 = 1.00 L, and Eint 1 = 414 J, and its final state has volume V2 = 2.93 L and Eint 2 = 951 J. 1) Calculate the work done by the gas. Be careful with signs: if the work you...
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