Environmental physics Flashcards
What is the total work done by the system over the course of the heat engine cycle?
Area contained in a PV diagram
Since heat engine cycles are cyclic processes, what can we say about the integral of the internal energy over the entire cycle?
It equals zero
What is the Carnot cycle (not the steps)?
An idealisation of a heat engine where heat is transferred from a hot reservoir to a cold reservoir
How is the heat transferred in a Carnot cycle?
Via a gas-filled piston which can be isolated from either or both reservoirs
In the Carnot cycle, how is work extracted from the system using the piston?
The gas in the piston expands or contracts depending on which reservoir it is connected to and the raising and lowering of the piston allows work to be extracted
What are the 4 stages of the Carnot cycle?
Isothermal expansion, adiabatic (or isentropic) expansion, isothermal compression and adiabatic (or isentropic) compression
What is the efficiency of any heat engine?
The ratio of the work done to the heat input into the system
What is the efficiency of the Carnot cycle, given that it is a reversible and cyclic process?
Heat in minus heat out all divided by heat in
What are heat pumps?
Reverse Carnot engines
What is the quantification of how good a heat pump is and what is its equation?
Coefficient of performance and heat out over work done
What is Carnot’s theorem?
All Carnot engines operating between reservoirs at given temperatures are equally efficient and no reversible engine is m ore efficient than the Carnot engine.
How do you prove Carnot’s theorem?
Imagine a Carnot engine connected to a heat pump in a system with the efficiency of the engine more than that of the heat pump, then there would be a breach of the second law (heat from cold reservoir into the hot reservoir)
What is a consequence of Carnot’s theorem?
The Carnot cycle is the most efficient possible heat engine operating between reservoirs at specified temperatures
From Carnot’s theorem, what is Q (cold) over Q (hot) equal to?
T (cold) over T (hot)
What is the saturation temperature in regards to steam power?
The particular temperature at which water cannot contain any more heat and stay a liquid (under constant pressure)
After the saturation temperature, the energy from any heat added to the water beyond this point will go towards what?
Converting some of the liquid into vapour, which then increases the volume (not towards increasing the temperature of the water)
When there is no more liquid left to be vaporised (still at the saturation temp), what happens when you continue adding heat?
Temperature will rise again
What does the temperature versus volume graph look like for water under constant pressure that heat is being added to and it turns to vapour?
It rises to the saturation temperature and then plateaus for a bit (liquid and vapour phases coexisting) and then the temperature rises again
Does the volume of pressurised water vapour increase or decrease with increasing pressure?
Decreases
Does the saturation temperature of the water/ vapour phase increase or decrease with increasing pressure?
Increase
What is the critical point on a phase diagram of temperature versus volume for water to vapour transitions?
It is at 674 K at a pressure of around 22 MPa and beyond this point, no phase change can be observed
On either side of the critical point, what are the lines called and what do they represent?
Saturated liquid line, where the transition from a pure liquid to a mixed state is and saturated vapour line, where the transition from mixed to pure vapour state is
What is the liquid called on the liquid side of the saturated liquid line on the temperature volume graph?
Compressed liquid
What is the vapour called on the vapour side of the saturated vapour line on the temperature volume graph?
Superheated vapour