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B.2 – Thermodynamics
Description
Nature of science:
Variety of perspectives: With three alternative and equivalent statements of the second law of thermodynamics, this area of physics demonstrates the collaboration and testing involved in confirming abstract notions such as this. (4.1)
Understandings:
- The first law of thermodynamics
- The second law of thermodynamics
- Entropy
- Cyclic processes and pV diagrams
- Isovolumetric, isobaric, isothermal and adiabatic processes
- Carnot cycle
- Thermal efficiency
Applications and skills:
- Describing the first law of thermodynamics as a statement of conservation of energy
- Explaining sign convention used when stating the first law of thermodynamics as
- Solving problems involving the first law of thermodynamics
- Describing the second law of thermodynamics in Clausius form, Kelvin form and as a consequence of entropy
- Describing examples of processes in terms of entropy change
- Solving problems involving entropy changes
- Sketching and interpreting cyclic processes
- Solving problems for adiabatic processes for monatomic gases using
= constant
- Solving problems involving thermal efficiency
Guidance:
- If cycles other than the Carnot cycle are used quantitatively, full details will be provided
- Only graphical analysis will be required for determination of work done on a pVdiagram when pressure is not constant
Data booklet reference:
International-mindedness:
- The development of this topic was the subject of intense debate between scientists of many countries in the 19th century
Utilization:
- This work leads directly to the concept of the heat engines that play such a large role in modern society
- The possibility of the heat death of the universe is based on ever-increasing entropy
- Chemistry of entropy (see Chemistry sub-topic 15.2)
Aims:
- Aim 5: development of the second law demonstrates the collaboration involved in scientific pursuits
- Aim 10: the relationships and similarities between scientific disciplines are particularly apparent here
Directly related questions
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20N.3.SL.TZ0.9a(i):
Calculate the work done during the compression.
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20N.3.SL.TZ0.9a(i):
Calculate the work done during the compression.
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20N.3.SL.TZ0.a(i):
Calculate the work done during the compression.
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17N.3.SL.TZ0.10c:
The final image of the Moon is observed through the eyepiece. The focal length of the eyepiece is 5.0 cm. Calculate the magnification of the telescope.
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17N.3.SL.TZ0.10c:
The final image of the Moon is observed through the eyepiece. The focal length of the eyepiece is 5.0 cm. Calculate the magnification of the telescope.
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17N.3.SL.TZ0.c:
The final image of the Moon is observed through the eyepiece. The focal length of the eyepiece is 5.0 cm. Calculate the magnification of the telescope.
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17N.3.SL.TZ0.8d:
Using your sketched graph in (b), identify the feature that shows that net work is done by the gas in this three-step cycle.
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17N.3.SL.TZ0.8d:
Using your sketched graph in (b), identify the feature that shows that net work is done by the gas in this three-step cycle.
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17N.3.SL.TZ0.d:
Using your sketched graph in (b), identify the feature that shows that net work is done by the gas in this three-step cycle.
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18M.3.SL.TZ2.7e:
There are various equivalent versions of the second law of thermodynamics. Outline the benefit gained by having alternative forms of a law.
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18M.3.SL.TZ2.7e:
There are various equivalent versions of the second law of thermodynamics. Outline the benefit gained by having alternative forms of a law.
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18M.3.SL.TZ2.e:
There are various equivalent versions of the second law of thermodynamics. Outline the benefit gained by having alternative forms of a law.
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18M.3.SL.TZ1.7b.i:
For the process BC, calculate, in J, the work done by the gas.
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18M.3.SL.TZ1.7b.i:
For the process BC, calculate, in J, the work done by the gas.
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18M.3.SL.TZ1.b.i:
For the process BC, calculate, in J, the work done by the gas.
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18M.3.SL.TZ1.7b.iii:
For the process BC, calculate, in J, the thermal energy transferred to the gas.
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18M.3.SL.TZ1.7b.iii:
For the process BC, calculate, in J, the thermal energy transferred to the gas.
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18M.3.SL.TZ1.b.iii:
For the process BC, calculate, in J, the thermal energy transferred to the gas.
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18M.3.SL.TZ1.7c.ii:
Determine, without any calculation, whether the net work done by the engine during one full cycle would increase or decrease.
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18M.3.SL.TZ1.7c.ii:
Determine, without any calculation, whether the net work done by the engine during one full cycle would increase or decrease.
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18M.3.SL.TZ1.c.ii:
Determine, without any calculation, whether the net work done by the engine during one full cycle would increase or decrease.
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18N.3.SL.TZ0.7b:
Show that the thermal energy transferred from the gas during the change B → C is 238 J.
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18N.3.SL.TZ0.7b:
Show that the thermal energy transferred from the gas during the change B → C is 238 J.
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18N.3.SL.TZ0.b:
Show that the thermal energy transferred from the gas during the change B → C is 238 J.
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18N.3.SL.TZ0.7c.i:
The work done by the gas from A → B is 288 J. Calculate the efficiency of the cycle.
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18N.3.SL.TZ0.7c.i:
The work done by the gas from A → B is 288 J. Calculate the efficiency of the cycle.
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18N.3.SL.TZ0.c.i:
The work done by the gas from A → B is 288 J. Calculate the efficiency of the cycle.
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18N.3.SL.TZ0.7a.ii:
Show that at C the temperature is 254 K.
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18N.3.SL.TZ0.7a.ii:
Show that at C the temperature is 254 K.
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18N.3.SL.TZ0.a.ii:
Show that at C the temperature is 254 K.
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18N.3.SL.TZ0.7a.i:
Show that at C the pressure is 1.00 × 106 Pa.
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18N.3.SL.TZ0.7a.i:
Show that at C the pressure is 1.00 × 106 Pa.
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18N.3.SL.TZ0.a.i:
Show that at C the pressure is 1.00 × 106 Pa.
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18N.3.SL.TZ0.7c.ii:
State, without calculation, during which change (A → B, B → C or C → A) the entropy of the gas decreases.
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18N.3.SL.TZ0.7c.ii:
State, without calculation, during which change (A → B, B → C or C → A) the entropy of the gas decreases.
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18N.3.SL.TZ0.c.ii:
State, without calculation, during which change (A → B, B → C or C → A) the entropy of the gas decreases.
- 19M.3.SL.TZ2.10d: Suggest why this cycle is not a suitable model for a working heat pump.
- 19M.3.SL.TZ2.10d: Suggest why this cycle is not a suitable model for a working heat pump.
- 19M.3.SL.TZ2.d: Suggest why this cycle is not a suitable model for a working heat pump.
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19M.3.SL.TZ2.10bi:
Calculate the change in internal energy of the gas for the process A→B.
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19M.3.SL.TZ2.10bi:
Calculate the change in internal energy of the gas for the process A→B.
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19M.3.SL.TZ2.bi:
Calculate the change in internal energy of the gas for the process A→B.
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19N.3.SL.TZ0.6b(i):
determine the thermal energy removed from the system.
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19N.3.SL.TZ0.6b(i):
determine the thermal energy removed from the system.
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19N.3.SL.TZ0.b(i):
determine the thermal energy removed from the system.
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19N.3.SL.TZ0.6a(ii):
Calculate the ratio .
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19N.3.SL.TZ0.6a(ii):
Calculate the ratio .
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19N.3.SL.TZ0.a(ii):
Calculate the ratio .
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19N.3.SL.TZ0.6b(ii):
explain why the entropy of the gas decreases.
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19N.3.SL.TZ0.6b(ii):
explain why the entropy of the gas decreases.
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19N.3.SL.TZ0.b(ii):
explain why the entropy of the gas decreases.
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19N.3.SL.TZ0.6a(i):
Show that the pressure at B is about 130 kPa.
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19N.3.SL.TZ0.6a(i):
Show that the pressure at B is about 130 kPa.
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19N.3.SL.TZ0.a(i):
Show that the pressure at B is about 130 kPa.
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17N.3.SL.TZ0.8a:
Show that the volume of the gas at the end of the adiabatic expansion is approximately 5.3 x 10–3 m3.
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17N.3.SL.TZ0.8a:
Show that the volume of the gas at the end of the adiabatic expansion is approximately 5.3 x 10–3 m3.
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17N.3.SL.TZ0.a:
Show that the volume of the gas at the end of the adiabatic expansion is approximately 5.3 x 10–3 m3.
- 17N.3.SL.TZ0.8b: Using the axes, sketch the three-step cycle.
- 17N.3.SL.TZ0.8b: Using the axes, sketch the three-step cycle.
- 17N.3.SL.TZ0.b: Using the axes, sketch the three-step cycle.
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17N.3.SL.TZ0.8c:
The initial temperature of the gas is 290 K. Calculate the temperature of the gas at the start of the adiabatic expansion.
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17N.3.SL.TZ0.8c:
The initial temperature of the gas is 290 K. Calculate the temperature of the gas at the start of the adiabatic expansion.
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17N.3.SL.TZ0.c:
The initial temperature of the gas is 290 K. Calculate the temperature of the gas at the start of the adiabatic expansion.
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18M.3.SL.TZ1.7a:
Show that the pressure at B is about 5 × 105 Pa.
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18M.3.SL.TZ1.7a:
Show that the pressure at B is about 5 × 105 Pa.
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18M.3.SL.TZ1.a:
Show that the pressure at B is about 5 × 105 Pa.
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18M.3.SL.TZ1.7b.ii:
For the process BC, calculate, in J, the change in the internal energy of the gas.
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18M.3.SL.TZ1.7b.ii:
For the process BC, calculate, in J, the change in the internal energy of the gas.
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18M.3.SL.TZ1.b.ii:
For the process BC, calculate, in J, the change in the internal energy of the gas.
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18M.3.SL.TZ1.7c.i:
Explain, without any calculation, why the pressure after this change would belower if the process was isothermal.
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18M.3.SL.TZ1.7c.i:
Explain, without any calculation, why the pressure after this change would belower if the process was isothermal.
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18M.3.SL.TZ1.c.i:
Explain, without any calculation, why the pressure after this change would belower if the process was isothermal.
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18M.3.SL.TZ1.7d:
Outline why an efficiency calculation is important for an engineer designing a heat engine.
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18M.3.SL.TZ1.7d:
Outline why an efficiency calculation is important for an engineer designing a heat engine.
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18M.3.SL.TZ1.d:
Outline why an efficiency calculation is important for an engineer designing a heat engine.
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18M.3.SL.TZ2.7a:
Show that the final volume of the gas is about 53 m3.
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18M.3.SL.TZ2.7a:
Show that the final volume of the gas is about 53 m3.
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18M.3.SL.TZ2.a:
Show that the final volume of the gas is about 53 m3.
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18M.3.SL.TZ2.7b:
Calculate, in J, the work done by the gas during this expansion.
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18M.3.SL.TZ2.7b:
Calculate, in J, the work done by the gas during this expansion.
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18M.3.SL.TZ2.b:
Calculate, in J, the work done by the gas during this expansion.
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18M.3.SL.TZ2.7c:
Determine the thermal energy which enters the gas during this expansion.
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18M.3.SL.TZ2.7c:
Determine the thermal energy which enters the gas during this expansion.
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18M.3.SL.TZ2.c:
Determine the thermal energy which enters the gas during this expansion.
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18M.3.SL.TZ2.7d.i:
Sketch, on the pV diagram, the complete cycle of changes for the gas, labelling the changes clearly. The expansion shown in (a) and (b) is drawn for you.
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18M.3.SL.TZ2.7d.i:
Sketch, on the pV diagram, the complete cycle of changes for the gas, labelling the changes clearly. The expansion shown in (a) and (b) is drawn for you.
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18M.3.SL.TZ2.d.i:
Sketch, on the pV diagram, the complete cycle of changes for the gas, labelling the changes clearly. The expansion shown in (a) and (b) is drawn for you.
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18M.3.SL.TZ2.7d.ii:
Outline the change in entropy of the gas during the cooling at constant volume.
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18M.3.SL.TZ2.7d.ii:
Outline the change in entropy of the gas during the cooling at constant volume.
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18M.3.SL.TZ2.d.ii:
Outline the change in entropy of the gas during the cooling at constant volume.
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19M.3.SL.TZ2.10a:
Show that the work done on the gas for the isothermal process C→A is approximately 440 J.
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19M.3.SL.TZ2.10a:
Show that the work done on the gas for the isothermal process C→A is approximately 440 J.
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19M.3.SL.TZ2.a:
Show that the work done on the gas for the isothermal process C→A is approximately 440 J.
- 19M.3.SL.TZ2.10bii: Calculate the temperature at A if the temperature at B is −40°C.
- 19M.3.SL.TZ2.10bii: Calculate the temperature at A if the temperature at B is −40°C.
- 19M.3.SL.TZ2.bii: Calculate the temperature at A if the temperature at B is −40°C.
- 19M.3.SL.TZ2.10c: Determine, using the first law of thermodynamics, the total thermal energy transferred to the...
- 19M.3.SL.TZ2.10c: Determine, using the first law of thermodynamics, the total thermal energy transferred to the...
- 19M.3.SL.TZ2.c: Determine, using the first law of thermodynamics, the total thermal energy transferred to the...
- 19N.3.SL.TZ0.6b(iii): state and explain whether the second law of thermodynamics is violated.
- 19N.3.SL.TZ0.6b(iii): state and explain whether the second law of thermodynamics is violated.
- 19N.3.SL.TZ0.b(iii): state and explain whether the second law of thermodynamics is violated.
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20N.3.SL.TZ0.9a(ii):
Calculate the work done during the increase in pressure.
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20N.3.SL.TZ0.9a(ii):
Calculate the work done during the increase in pressure.
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20N.3.SL.TZ0.a(ii):
Calculate the work done during the increase in pressure.
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20N.3.SL.TZ0.9b(i):
Calculate the pressure following this process.
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20N.3.SL.TZ0.9b(i):
Calculate the pressure following this process.
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20N.3.SL.TZ0.b(i):
Calculate the pressure following this process.
- 20N.3.SL.TZ0.9b(ii): Outline how an approximate adiabatic change can be achieved.
- 20N.3.SL.TZ0.9b(ii): Outline how an approximate adiabatic change can be achieved.
- 20N.3.SL.TZ0.b(ii): Outline how an approximate adiabatic change can be achieved.
- 23M.1.HL.TZ1.35: Three changes are made to a transformer. I. increasing the thickness of wire in the coilsII. ...
- 23M.1.HL.TZ1.35: Three changes are made to a transformer. I. increasing the thickness of wire in the coilsII. ...
- 23M.3.HL.TZ1.9a: Suggest why AC is the adiabatic part of the cycle.
- 23M.3.SL.TZ1.7a: Suggest why AC is the adiabatic part of the cycle.
- 23M.3.HL.TZ1.9a: Suggest why AC is the adiabatic part of the cycle.
- 23M.3.HL.TZ1.a: Suggest why AC is the adiabatic part of the cycle.
- 23M.3.SL.TZ1.7a: Suggest why AC is the adiabatic part of the cycle.
- 23M.3.SL.TZ1.a: Suggest why AC is the adiabatic part of the cycle.
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23M.3.HL.TZ2.9a:
Calculate the pressure of the gas at B.
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23M.3.SL.TZ2.7a:
Calculate the pressure of the gas at B.
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23M.3.HL.TZ2.9a:
Calculate the pressure of the gas at B.
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23M.3.HL.TZ2.a:
Calculate the pressure of the gas at B.
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23M.3.SL.TZ2.7a:
Calculate the pressure of the gas at B.
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23M.3.SL.TZ2.a:
Calculate the pressure of the gas at B.