January 7 AP Physics. IN A gas follows the cycles shown. How much work is done?

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January 7 AP Physics

Transcript of January 7 AP Physics. IN A gas follows the cycles shown. How much work is done?

Page 1: January 7 AP Physics. IN A gas follows the cycles shown. How much work is done?

January 7AP Physics

Page 2: January 7 AP Physics. IN A gas follows the cycles shown. How much work is done?

IN A gas follows the

cycles shown. How much work is done?

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Objective:

To study cycles in thermodynamics.

Success Criteria:

To be able to calculate the work done in a thermodynamic cycle.

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Homework check

2, 5, 6, 10

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PV diagram

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PV diagram-holding pressure constant

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PV diagram-holding volume constant

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PV diagram-holding temperature constant

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Work and PV diagrams (quick quiz 12.1)

Put these in order: most negative work to most positive work.

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First law of Thermodynamics

ΔU = Q + W

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Isobaric (pressure constant)

ΔU = Q + W

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Isovolumetric (volume constant)

ΔU = Q

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Isothermal (temperature constant)

ΔU = 0

Therefore

Q = W

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Adiabatic (isolated system)

ΔU = W

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Work in thermodynamic processes

W=FΔd

W=PAΔd

W= -PΔV

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Process conditions first law

Isobaric both temp ΔU=Q+Wand volume change

Isovolumetric no work ΔV=0 so W=0so ΔU=Q

Isothermal no change ΔU=Q+W=0

in T or U so Q= - WAdiabatic no energy Q=0

transfer as so ΔU=Wheat

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PV diagrams and thermodynamic processes (quick quiz 12.2)

Identify the paths

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PV diagram of a cycle

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Steam engine

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Newcome Steam engine

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Problem 4

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Efficiency of an engine

Work out

Energy in

e= W

QH

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Sadi Carnot1796-1832

• 1824-Reflections on the

Motive Power of Fire

• Efficiency of a heat engine

• Theoretical maximum

• Began the understanding that became the second law of thermodynamics.– entropy

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Carnot cycle

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Carnot Engine

No real engine operating between two energy reservoirs can be more efficient than a Carnot engine operating between the same two reservoirs.

ec= TH-TC

TH

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Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are:

a) Th=1000 K Tc=700 K

b) Th=800 K Tc=500 K

c) Th=600 K Tc=300 K

Rank the engines in order of their theoretical maximum efficiency.

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Second Law of Thermodynamics

No heat engine operating in a cycle can absorb energy from a reservoir and use it entirely for the performance of an equal amount of work.

You can’t have a totally efficient engine.

In any closed system, entropy always increases.

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Entropy

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Out:

Which of these processes are isothermal, isovolumetric, or adiabatic:

a) A tire being rapidly inflated

b) A tire expanding gradually at a constant temperature

c) A steel tank of gas being heated