pls. derivation of efficiency of carnot engine +1 physics fast pls
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Efficiency of a Carnot engine
The Carnot cycle makes an engine. The p-V diagram below sketches the operation of a Carnot engine,
where the “working fluid” that expands and contracts within the cylinder is an ideal gas.
V
p
0
0
TL
TH
a
b
c
d
1
2
3
4
Here the high temperature TH and the low temperature TL are temperatures as measured on an ideal
gas thermometer, that is
T =
pV
NR
.
One cycle of the Carnot engine acts as follows:
• Leg 1: Isothermal expansion at high temperature. As the gas expands, it lifts a big pile of sand —
that is, it does work |W1|. We’ve seen that expansion normally sends the temperature down. To keep
the same temperature, the gas must absorb heat |Q1| from its surroundings.
• Leg 2: Adiabatic expansion. As the gas expands, it lifts a big pile of sand — that is, it does work |W2|.
The expansion sends the temperature down. Because it’s adiabatic, no heat is absorbed or ejected.
• Leg 3: Isothermal compression at low temperature. As the gas contracts, it lets down a small pile
of sand — that is, work |W3| is done on the gas. We’ve seen that compression normally sends the
temperature up. To keep the same temperature, the gas must eject heat |Q2| into its surroundings.
• Leg 4: Adiabatic compression. As the gas contracts, it lets down a small pile of sand — that is, work
|W4| is done on the gas. The compression sends the temperature up. Because it’s adiabatic, no heat⬆☢☢⬆⬆⬆⬆⬆☢⬆hope it helps you please mark me brainlist✌✌✌
The Carnot cycle makes an engine. The p-V diagram below sketches the operation of a Carnot engine,
where the “working fluid” that expands and contracts within the cylinder is an ideal gas.
V
p
0
0
TL
TH
a
b
c
d
1
2
3
4
Here the high temperature TH and the low temperature TL are temperatures as measured on an ideal
gas thermometer, that is
T =
pV
NR
.
One cycle of the Carnot engine acts as follows:
• Leg 1: Isothermal expansion at high temperature. As the gas expands, it lifts a big pile of sand —
that is, it does work |W1|. We’ve seen that expansion normally sends the temperature down. To keep
the same temperature, the gas must absorb heat |Q1| from its surroundings.
• Leg 2: Adiabatic expansion. As the gas expands, it lifts a big pile of sand — that is, it does work |W2|.
The expansion sends the temperature down. Because it’s adiabatic, no heat is absorbed or ejected.
• Leg 3: Isothermal compression at low temperature. As the gas contracts, it lets down a small pile
of sand — that is, work |W3| is done on the gas. We’ve seen that compression normally sends the
temperature up. To keep the same temperature, the gas must eject heat |Q2| into its surroundings.
• Leg 4: Adiabatic compression. As the gas contracts, it lets down a small pile of sand — that is, work
|W4| is done on the gas. The compression sends the temperature up. Because it’s adiabatic, no heat⬆☢☢⬆⬆⬆⬆⬆☢⬆hope it helps you please mark me brainlist✌✌✌
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