In a heat engine, 3.00 mol of a monatomic ideal gas, initially at 4.00 atm of pressure, undergoes an isothermal expansion, increasing its volume by a factor 9.50 at a constant temperature of 650.0 K. The gas is then compressed at a constant pressure to its original volume. Finally, the pressure is increased at constant volume back to the original pressure. a) Draw a PV diagram to illustrate the cycle for this engine. Label he axes with numerical values. b) find the heat flow into or out the gas during each step. c) Find the entropy change of the gas during the isothermal step. d) What is the entropy change of the gas for a complete cycle? Is it equal in magnitdre to the entropy change of the environment per cycle? Explain.

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In a heat engine, 3.00 mol of a monatomic ideal gas, initially at 4.00 atm of pressure, undergoes an
isothermal expansion, increasing its volume by a factor 9.50 at a constant temperature of 650.0 K. The gas is
then compressed at a constant pressure to its original volume. Finally, the pressure is increased at constant
volume back to the original pressure.
a) Draw a PV diagram to illustrate the cycle for this engine. Label he axes with numerical values.
b) find the heat flow into or out the gas during each step.
c) Find the entropy change of the gas during the isothermal step.
d) What is the entropy change of the gas for a complete cycle? Is it equal in magnitdre to the entropy change
of the environment per cycle? Explain.
Transcribed Image Text:In a heat engine, 3.00 mol of a monatomic ideal gas, initially at 4.00 atm of pressure, undergoes an isothermal expansion, increasing its volume by a factor 9.50 at a constant temperature of 650.0 K. The gas is then compressed at a constant pressure to its original volume. Finally, the pressure is increased at constant volume back to the original pressure. a) Draw a PV diagram to illustrate the cycle for this engine. Label he axes with numerical values. b) find the heat flow into or out the gas during each step. c) Find the entropy change of the gas during the isothermal step. d) What is the entropy change of the gas for a complete cycle? Is it equal in magnitdre to the entropy change of the environment per cycle? Explain.
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