Thermodynamics Flashcards

(61 cards)

1
Q

What is the first law of thermodynamics?

A

Q = ΔU = W
Energy supplied by heating (J) = Increase in internal energy (J) + work done by the system (J)

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2
Q

What happens when work is done on the gas and by the gas?

A

Work is done by the gas (+ve work done) if it expands
Work is done on the gas (-ve work done) if it contracts

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3
Q

How do you calculate work done by a gas and what does the equation assume?

A

W = pΔV
Work done by the gas (J) = pressure of gas (Pa) c change in volume (m3)
This equation assumes the surrounding pressure doesn’t change as the gas expands
The pressure of the gas stays constant, the volume changes

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4
Q

How do you calculate work done from a p-V diagram?

A

Work done by the gas = area under p-V diagram

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5
Q

What are the 4 main thermodynamic processes?

A

Constant volume (w=0)
Constant pressure (Δp=0)
Isothermal (ΔT=0)
Adiabatic (ΔQ=0)

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6
Q

Explain a constant pressure process

A

A process in which no change in pressure occurs
This occurs when gases are allowed to expand and contract freely during a change in temperature
W = pΔV (equation on valid when pressure is constant)
Q = ΔU + pΔV
V1/T1 = V2/T2

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7
Q

Explain a constant volume process

A

A process where no change in volume occurs hence, no work is done
W = 0 (W=pΔV –> ΔV=0)
Q = ΔU
All energy transferred by heating is transferred to the internal energy of the gas
Vertical straight line on a p-V daogram - no area below as no work is done
P1/T1 = P2/T2

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8
Q

Explain an isothermal process

A

A process in which no change in temperature occurs
No change in temperature means no change in internal energy of the gas
ΔU = 0
Q = W
Any energy supplied to the gas is used to expand the gas
pV = constant –> p1V1 = p2V2

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9
Q

Explain an adiabatic process

A

A process where no heat is transferred into or out of the system
Q = 0 (no heat energy is supplied)
W = -ΔU
If the gas expands, the internal energy decreases
An adiabatic process will be accompanied by a change in temperature
PVγ = constant

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10
Q

Adiabatic vs isothermal p-V diagram

A

An adiabatic p-V diagram is steeper than an isothermal diagram

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11
Q

What is a four-stroke engine and what are the 4 stages?

A

A four-stroke engine is an internal combustion engine that burns fuel once every 4 stroked of the piston. Each movement of the piston up or down is called a stroke. The 4 stages are:
- Induction
- Compression
- Power
- Exhaust

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12
Q

Explain the induction stage of a petrol engine

A

The piston moves down the cylinder, increasing the volume of the petrol-air mixture which is drawn into the cylinder by the inlet valve
The pressure in the cylinder remains constant, just above atmospheric pressure

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13
Q

Explain the compression stage of a petrol engine

A

The inlet valve is closed and the piston moves back up, doing work on the gas
The volume decreases and the pressure increases. This is done adiabatically (no additionally heat energy is supplied)
Almost at the end of the cycle, the petrol-air mixture is ignited by a spark. The temperature and pressure increase rapidly, at an almost constant volume

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14
Q

Explain the power stage of a petrol engine

A

The high pressure forces the piston back down the cylinder, so work is done by expanding the gas
The exhaust valve opens when the piston is near the bottom of the strok, and the pressure reduces to almost atmospheric pressure

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15
Q

Explain the exhause stage of a petrol engine

A

The piston moves up the cylinder, forcing the burnt gases through the open exhaust valve and out of the cylinder
The pressure in the cylinder remains just above atmospheric pressure

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16
Q

What are the assumptions made in a theoretical indicator diagram of a 4-stroke petrol engine?

A

The same air/gas is constantly moving through the cycle repeatedly
The pressure and temperature can change instantaneously
The expansion and compression happens adiabatically
The engine experiences no friction
The heat source is external

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17
Q

Explain the stages of a theoretical indicator diagram of a 4-strok petrol engine

A

A-B : gas is compressed adiabatically
B : the mixture is ignited by a sparl
B-C : heat is supplied and volume is kept constant. Temperature and pressure increase rapidly
C-D : gas expands adiabatically (temperature decreases)
D-A : system is cooled at a constant volume (heat leaves the system)

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18
Q

Why is an actual indicator diagram different to a theoretical one?

A

Heating and cooling cannot occur at constant volume
Expansion and compression are not adiabatic
Combustion is not instantaneous - corners are rounded

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19
Q

How do you calculate work done on a petrol indicator diagram?

A

The work done on the gas is the area below the compression curve (A-B)
The work done by the gas is the area below the expansion curve (C-D)
The net work done is the area of the enclosed loop or work done by the gas minus work done on the gas

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20
Q

Explain the induction stroke of a diesel enigne

A

In the induction stroke, only air is drawn into the cylinder. This means tehre is no fuel in the cylinder during compression

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21
Q

Explain the compression stroke of a diesel engine

A

During the compression stage, the air is compressed at a high temperature which vaporises and ignites the diesel fuel, which is pumped directly into the cylinder through an injector. There is no spark

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22
Q

Explain the expansion and exhaust stages of a diesel engine compared to a petrol engine

A

The exhaust and expansion stages of both engines are similair

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23
Q

Explain the stages of a theoretical indicator diagram of a 4-stroke diesel engine

A

A-B : gas is compressed adiabatically
B-C : heat is supplied and pressure is kept constant (flat peak)
C-D : gas expands adiabatically
D-A : system is cooled at a constant volume and heat exits the system

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24
Q

Why are diesel engines more efficient than petrol engines?

A

Efficiency is directly proportional to the compression ratio
Diesel engines have a higher compression ratio than petrol engines and are hence more efficient

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25
What is the compression ratio and how is it calculated?
The volume enclosed at the beginning of the compression stroke / the volume enclosed at the end of the compression stroke
26
Why do diesel engines have a higher compression ratio?
Diesel engines require a higher compression ratio to get the pressure and temperature of the air high enough for the diesel fuel to self-ignite Petrol engines are limited to their compression ratios as if it is too high, the petrol-air mixture could self-ignite before the spark
27
Diesel engines vs petrol engines
Diesel engines are more efficient as they have a higher compression ratio Diesel engines operate at a higher working pressure and are therfore more expensive to produce as they must be robust and stable Petrol engines produce more carbon monoxide and carbon dioxide
28
What is the calorific value and what is it measured in?
The calorific value is the amount of energy stored by the fuel per unit volume For liquid fuel: J/kg For gas fuel: J/m3
29
What is the fuel flow rate?
The volume of fuel that flows per second
30
How do you calculate input power?
Input power = calorific value x fuel flow rate
31
What is the indicated power?
The indicated power is the power developed in the cylinder of an engine
32
How do you calculate indicated power?
Indicated power = (area of p-V loop) x (number of cycles per second) x (number of cylinders in engine)
33
What is brake power?
Brake power is the power output by the engine and is the same as rotational power
34
How do you calculate brake power?
Brake power = torque x angular velocity P = Tω
35
What is friction power?
Part of the indicated power is used to overcome frictional forces in the engine. Hence, brake power is lower than indicated power.
36
How do you calculate friction power?
Friction power = indicated power - brake power
37
What is the difference between input power and indicated power?
Input power is the total power supplied to the engine in terms of fuel Indicated power is the power developed inside of the engine cylinder due to combustion
38
How do you calculate the overall efficiency of an engine?
Overall efficiency = brake power / input power
39
What does the chemical efficiency tell us about an engine?
The chemical eficiency tells us how well the engine transforms the chemical energy in the fuel into useful pwoer in the engine
40
How do you calculate chemical efficiency of an engine?
Chemical efficiency = indicated power / input power
41
How do you calculate mechanical efficienct of an engine?
Mechanical efficiency = brake power / indicated power
42
What is a heat engine and what can't it do?
A heat engine is a system that converts heat to usable energy which is then used to do mechanical work It is impossible for a heat engine to work solely on the first law of thermodynamics
43
What is the second law of thermodynamics?
A heat engine requires a source and a sink to operate Thermal energy cannot spontaneously transfer from a region of lower temperature to a region of higher temperature
44
What is a source?
A source is a high-temperature reservoir It has a high temperature T(h) The heat energy from it is Q(h)
45
What is a sink?
A sink is a low-temperature reservoir It has a low temperature T(c) The heat energy going into it is Q(c)
46
What is the source-sink diagram of a heat engine?
Heat energy (Qh) is transferred from the source at temperature Th Some of the energy is transferred into work, W The remaining energy (Qc) is transferred to the sink at temperature Tc
47
How do you calculate the efficiency of a heat engine?
Efficiency = useful work output / total energy input Efficiency = W / Qh Efficiency = (Qh - Qc) / Qh
48
Why can the efficiency of a heat engine never be 100%?
No heat engine can completely convert heat into work Some heat will always be lost to the surroundings
49
How do you calculate maximum theoretical efficiency of a heat engine?
Maximum theoretical efficiency = (Th - Tc) / Th
50
How can you make an engine as efficient as possible?
The source temperature must be as high as possinle and the sink temperature must be as low as possible For the maximum theoretical efficiency to be 100%, the sink temperature must be 0K
51
What are some limitations of real heat engines?
- Work done to overcome frictional forces within the engine - The fuel is not completely burnt hence, the temperature rise isn't as high as expected - The petrol-air mixture is not an ideal gas - Imperfect comvustion - the maximum temperature is not always obtained - The processes that form the engine cycle are irreversible
52
What do conventional power stations do with waste heat energy?
Conventional power stations that use heat engines are in reality about 35% efficient while their maximum theoretical efficiency is 60% They transfer large amounts of energy to their surroundings through cooling towere or a local river / sea
53
What is a CHP (combined head and power) scheme?
Instead of removing the heat through cooling, heat from a power station could be then used to heat homes and businesses that are nearby This is used in CHP power stations which are much more heat and energy efficient
54
What is a reversed heat engine?
One that transfers heat energy from a cold space to a hot space by inputting work Work needs to be done because heat energy naturally flows from a warmer to a colder place (second law of thermodynamics)
55
What are reversed heat engines used for?
Refrigerators or air conditoners Heat pumps (used to heat up a building)
56
How does a refrigerator work?
A refrigerator extracts as much energy as possible from the cold space per joule of work done A refrigerator wants to stay cool so it takes heat out of the system The inside of the fridge is the cold space and the outside is the hot space
57
How does a heat pump work?
A heat pump provides as much energy as possible to the hot space per joule of work done A heat pump wants to make a room warm, so it puts heat into the system The outisde of the house is the cold space, the inside is the hot space
58
What is the coefficient of performance (COP)?
The coefficient of performance (COP) is a measure of how effective a reversed heat engine is at transferring heat per unit of work done. It is not a measure of efficienct, so can be greater than 1
59
How do you calculate COP of a refrigerator?
COP = Qc / W = Qc / (Qh - Qc) = Tc / (Th - Tc)
60
How do you calculate COP of a heat pump?
COP = Qh / W = Qh / (Qh - Qc) = Th / (Th - Tc)
61
Why are heat pumps used instead of coventional heaters?
Heat pumps are used instead of conventional electric or gas heaters for large-scale buildings as the energy transferred by a heat pump exceeds the work done on the pump