a physic quiz

profileSherrysherry
chapter10_globalwarming.pptx

Chapter 10: Global Warming

Is Global Warming real? How sure are we?

Who/what is causing it? How sure are we?

What are the consequences likely to be?

What is the Greenhouse Effect?

Who is responsible for Greenhouse Gas Emissions—the developed world or the developing world?

What would we have to do to stop Global Warming?

Are we running out of fossil fuels?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

1

Scientific Consensus

The Intergovernmental Panel on Climate Change (IPCC) periodically reports a Consensus opinion that (almost) all of the scientific community agrees with

The IPCC Consensus is not the whole story, but it represents the best, most factual summary available of human knowledge about Climate Change and Global Warming

https://upload.wikimedia.org/wikipedia/en/2/28/Intergovernmental_Panel_on_Climate_Change_Logo.jpeg

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

2

Scientific Consensus

To emphasize quotes from the IPCC Synthesis Report (2014), I will use this font:

“Human influence on the climate system is clear”

Also, please note that I’m using the 2014 IPCC report as a source for most of this information. The book uses a somewhat out-of-date report, so I will update the book’s information when possible.

The summary report can be found online here:

https://www.ipcc.ch/pdf/assessment-report/ar5/syr/AR5_SYR_FINAL_SPM.pdf

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

3

Scientific Consensus

As it happens, our textbook author, Richard Muller, is a famous climate change skeptic

He started his own project called Berkeley Earth to check many of the IPCC claims for himself

I will highlight quotes from Muller and Berkeley Earth like this:

“The good match between the new temperature record and historical carbon dioxide records suggests that the most straightforward explanation for this warming is human greenhouse gas emissions”

http://berkeleyearth.org/

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

4

Chapter 10A: The Facts

Global Warming is real—We can measure it directly

Global Temperature has gone up

Sea level has risen

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

5

Global Warming is Definitely Real

“Warming of the climate system is unequivocal”

“The atmosphere and ocean have warmed, the amounts of snow and ice have diminished, and sea level has risen.”

“Global Land temperatures have increased by 1.5°C over the past 250 years”

There is no debate about whether Warming is occurring.

We can check this very easily by simply looking at (direct and indirect) temperature records.

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

6

Global Warming is Definitely Real

Globally, temperatures are up around 1-2⁰C (2-4⁰F) since 1850

http://berkeleyearth.org/berkeley-earth-temperature-update/

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

7

Global Warming is Definitely Real

Here is the temperature since 1750

http://berkeleyearth.org/summary-of-findings/

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

8

Black line represents our best guess

Gray shading represents uncertainty

Global Warming is Definitely Real

The sea level has risen about 20cm (8 inches) since 1900

From IPCC report (2014)

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

9

Chapter 10B: The Reason Why

We have an explanation for Global Warming that explains what we see:

Global Warming is mostly caused by humans.

The main reason for Global Warming is the Greenhouse Effect.

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

10

What Determines Earth’s Temperature?

The Earth gains Energy (and heats up) by absorbing sunlight

The Earth loses Energy (and cools down) by emitting Infrared Light (Recall: Ch. 9)

If these two effects are balanced, the Earth’s Temperature will remain about the same

If they are out of balance, the Earth’s Temperature will go up or down

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

11

Greenhouse Effect

Greenhouse Gases allows sunlight to come in, but block Infrared Light as it tries to get out

Greenhouse Gases are like a blanket that hold in the Heat to keep the Earth warm

http://science.howstuffworks.com/environmental/green-science/question7462.htm

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

12

Greenhouse Effect

If the Greenhouse Gas concentration is too high, then not enough Energy escapes, and the Earth warms up

If the Greenhouse Gas concentration is too low, then too much Energy escapes, and the Earth cools down

http://science.howstuffworks.com/environmental/green-science/question7462.htm

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

13

Carbon Dioxide

The most important Greenhouse Gas is Carbon Dioxide (CO2)

It makes up only a very small percentage of the air (less than 0.1%) but has a big effect

Plants remove Carbon Dioxide from the air and emit Oxygen

Animals remove Oxygen from the air and emit Carbon Dioxide

Normally, there is a balance between plants and animals and the levels of CO2 remain roughly constant

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

14

Carbon Dioxide

CO2 is also emitted whenever Carbon compounds (like fossil fuels) are burned in the presence of Oxygen

Once emitted, the CO2 stays in the air for hundreds of years

The CO2 concentration in the air has been slowly building up since we began using fossil fuels

This makes perfect sense since there is no effective mechanism for removing this CO2 from the air as we release it

But is the amount of CO2 emitted due to fossil fuels really significant?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

15

Source of Carbon Dioxide

From IPCC report (2014)

“Emissions of CO2 from fossil fuel combustion and industrial processes contributed about 78% of the total greenhouse gas emissions increase from 1970 to 2010.”

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

16

Source of Carbon Dioxide

From IPCC report (2014)

“About half of anthropogenic CO2 emissions between 1750 and 2011 have occurred in the last 40 years.”

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

17

Summary So Far

We are releasing lots of CO2 into the air

Mainly due to fossil fuel use

Once it is there, we would expect it to stay there

So, have we actually seen CO2 levels in the air going up?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

18

Greenhouse Gas Concentrations in the Air

Carbon Dioxide (CO2) levels are up 40% since 1850

Methane (CH4) levels are up 125%

Nitrous Oxide (N2O) levels are up 20%

From IPCC report (2014)

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

19

Greenhouse Gas Concentrations in the Air

“Atmospheric concentrations of carbon dioxide, methane and nitrous oxide [are at levels] unprecedented in at least the last 800,000 years.”

From IPCC report (2014)

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

20

Summary So Far

We are releasing lots of CO2 into the air

Mainly due to fossil fuel use

Once it is there, we would expect it to stay there

CO2 levels in the air are the highest they’ve been in about a million years

Based on the Greenhouse Effect, we would expect this to affect the Temperature. Is this what we see?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

21

Carbon Dioxide and Temperature

temperature seems to track CO2 levels in the air almost exactly

Based on what has happened in the past, global

From Physics and Technology for Future Presidents

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

22

Carbon Dioxide and Temperature

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

23

This, by itself, does not necessarily prove anything, but our textbook author (skeptical that CO2 levels were so important) took the argument one step further by calculating how much the temperature would be expected to go up due to many different known reasons (CO2 as well as other ones you may have heard about from Global Warming skeptics)

He found (much to his surprise) that the only things that make a noticeable difference are CO2 levels and major volcanic eruptions

Carbon Dioxide and Temperature

Black: Actual measurements

Red: Calculation that assumes only CO2 and volcanoes are important

http://berkeleyearth.org/summary-of-findings/

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

24

With just these two factors, you can explain why the temperature has gone up the way it has

Summary So Far

We are releasing lots of CO2 into the air

Mainly due to fossil fuel use

Once it is there, we would expect it to stay there

CO2 levels in the air are the highest they’ve been in about a million years

Global Temperature is going up

Global Temperature seems to always go up when CO2 levels go up

This makes sense because of the Greenhouse Effect

Calculations show that CO2 levels are, by far, the most important factor in determining global temperature

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

25

“Atmospheric concentrations of carbon dioxide, methane and nitrous oxide [are at levels] unprecedented in at least the last 800,000 years. Their effects, together with those of other anthropogenic drivers […] are extremely likely to have been the dominant cause of the observed warming since the mid-20th century.”

The IPCC define “Extremely Likely” as at least 95% likely.

“Anthropogenic” = Caused by humans

So, the IPCC estimates that it is at least 95% likely that humans are the main cause of Global Warming

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

26

Conclusion: Recent Global Warming is almost certainly caused by humans

“The exquisite agreement between the warming and CO2 suggests that most—maybe all—of the warming of the past 250 years was caused by humans. That’s a remarkable conclusion for someone (me) who had been stigmatized as a skeptic by the media.”

–Richard Muller in Energy for Future Presidents

“I was not expecting this, but as a scientist, I feel it is my duty to let the evidence change my mind.”

-Richard Muller on berkeleyearth.org

Conclusion: Recent Global Warming is almost certainly caused by humans

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

27

Chapter 10C: So What?

Is Warming likely to continue?

What effects is Warming likely to have? Is it that big of a deal?

What would we have to do to stop it?

What is the worst case scenario?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

28

Effect of Global Warming

Recall: The effect we are talking about is only about 1-2 degrees Celsius (about 2-4 degrees Fahrenheit)

You may wonder what the big deal is about an increase of just a couple of degrees

The bottom line: It is not the increase so far that concerns us, but the fact that (until we stop using fossil fuels completely) this effect will keep getting worse as we release more and more CO2 into the air

And we will have to live with the world we’ve created for hundreds of years to come

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

29

Effect of Global Warming

If things continue along the present path, the temperature will go up about 1°F every 15 years

“Just a few degrees can change fertile regions into deserts or melt ice caps.”

For comparison: A 10°F change would be as severe as a major ice age!

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

30

“Continued emission of greenhouse gases will cause further warming and long-lasting changes in all components of the climate system, increasing the likelihood of severe, pervasive and irreversible impacts for people and ecosystems. Limiting climate change would require substantial, sustained reductions in greenhouse gas emissions”

Effect of Global Warming

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

31

Consequences

“Surface temperature is projected to rise over the 21st century under all assessed emission scenarios. It is very likely that heat waves will occur more often and last longer, and that extreme precipitation events will become more intense and frequent in many regions. The ocean will continue to warm and acidify, and global mean sea level to rise.”

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

32

Consequences

“In most scenarios without additional mitigation efforts, [there will be] substantial species extinction, global and regional food insecurity, consequential constraints on human activities and limited potential for adaptation”

Mitigation Efforts = Reducing Greenhouse Gas emissions

Adaptation = Our ability to deal with the warming that we get

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

33

Consequences: Extinction

“A large fraction of species faces increased extinction risk due to climate change.”

“Most plant species cannot naturally shift their geographical ranges sufficiently fast to keep up with current and high projected rates of climate change in most landscapes”

Most plants and some animals simply will not be able to migrate to new habitats as fast as they are changing, and are likely to go extinct as a result.

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

34

Scenario 1: If warming is 2⁰C (4⁰F) above late 20th century levels, it will negatively impact food production

Scenario 2: If warming is 4⁰C (7⁰F) above late 20th century levels, it “ would pose large risks to food security globally”

“Just a few degrees can change fertile regions into deserts”

Consequences: Food

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

35

Urban Areas: “ heat stress, storms and extreme precipitation, inland and coastal flooding, landslides, air pollution, drought, water scarcity, sea level rise and storm surges”

Rural Areas: “ water availability and supply, food security, infrastructure and agricultural incomes, including shifts in the production areas of food and non-food crops around the world”

Consequences: In Populated Areas

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

36

Tipping Points

Even worse, it is possible (though not necessarily likely) that at some point we may cross a “tipping point” where a cataclysmic event is triggered

Example: If the Antarctic Ice Sheet falls into the sea—sea level goes up by over 100 feet

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

37

Tipping Points

Example: The Arctic Ocean warms, causing it to release Methane. Since Methane is a Greenhouse Gas, the Methane causes more Warming, which releases more Methane. The temperature rises out of control due to a vicious cycle

“Runaway greenhouse warming is responsible for the hot surface conditions of Venus—900°F—on a planet that is otherwise very similar to earth”

It’s very unlikely that we could see anything close to this dramatic, but it’s important to understand that the impact of Greenhouse Gases on temperature can be huge

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

38

Chapter 10D: What Can We Do?

What would we have to do to halt Global Warming?

What would we have to do to reverse Global Warming?

Which countries are causing the problems?

Developed countries like the US or developing countries like China?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

39

Cumulative Carbon Dioxide Production

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

40

Problem #1: It is not our present levels of CO2 emissions that matter, but the cumulative total of all CO2 emissions in history

Cumulative Carbon Dioxide Production

“Cumulative emissions of CO2 largely determine global mean surface warming”

“Multiple lines of evidence indicate a strong, consistent, almost linear relationship between cumulative CO2 emissions and projected global temperature change to the year 2100”

Note: This means that even if we stabilize our yearly CO2 output, Global Warming will keep getting worse because it depends on the sum total of all emissions in history. We have to stop putting CO2 into the atmosphere all together just to halt warming and stabilize the temperature.

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

41

Cumulative Carbon Dioxide Production

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

42

Problem #1: It is not our present levels of CO2 emissions that matter, but the cumulative total of all CO2 emissions in history

Problem #2: Even after we’ve totally stopped emitting CO2, the Temperature won’t start going down. It will only stop going up.

“Many aspects of climate change and associated impacts will continue for centuries, even if anthropogenic emissions of greenhouse gases are stopped.”

“temperatures will remain approximately constant at elevated levels for many centuries after a complete cessation of net anthropogenic CO2 emissions”

Cumulative Carbon Dioxide Production

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

43

Cumulative Carbon Dioxide Production

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

44

Problem #1: It is not our present levels of CO2 emissions that matter, but the cumulative total of all CO2 emissions in history

Problem #2: Even after we’ve totally stopped emitting CO2, the Temperature won’t start going down. It will only stop going up.

Problem #3: The temperature won’t start going down until CO2 levels go down. This takes hundreds of years to happen naturally, and we’re not very good at removing CO2 from the air ourselves.

Can we remove the CO2 that is already in the air?

Short Answer: We don’t presently have any effective ways to do this, but there are some ideas floating around.

One of the most effective methods currently is to

Plant trees. Let them absorb CO2 from the air.

Ensure (somehow) that the carbon removed from the air does not go back into the air again later—e.g. when the trees burn or decompose

One idea: Cut down the trees and burn the wood, but carefully capture all the CO2 emitted during the burning. Then (somehow) store it permanently underground

Bonus: You can use the burning wood as an Energy source (using Engines—Recall Ch. 2)

What Can We Do?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

45

More realistically, the answers to Climate Change are usually categorized as Mitigation and Adaptation

Mitigation: Take steps to reduce the severity of Climate Change

Maybe we can’t stop it, but at least we can reduce its magnitude

The main way to mitigate the disaster is to stop CO2 emissions—i.e. stop using fossil fuels

Adaptation: Takes steps to limit our vulnerability to what happens

Find ways of dealing with the problems that Climate Change creates

What Can We Do?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

46

“Without additional mitigation efforts beyond those in place today, and even with adaptation, warming by the end of the 21st century will lead to very high risk of severe, widespread and irreversible impacts globally.”

“There are multiple mitigation pathways that are likely to limit warming below 2⁰C relative to pre-industrial levels. These pathways would require substantial emissions reductions over the next few decades and near zero emissions of CO2 and other long-lived greenhouse gases by the end of the century.”

What Can We Do?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

47

“Effective mitigation will not be achieved if individual agents advance their own interests independently. Cooperative responses, including international cooperation, are therefore required to effectively mitigate greenhouse gas emissions and address other climate change issues.”

“Delaying additional mitigation to 2030 will substantially increase the challenges associated with limiting warming over the 21st century”

What Can We Do?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

48

Human Energy Use

Observations show that the richest countries in the world use the most Energy per person

Richer = more to the right

More Energy use per person = closer to top

From Physics and Technology for Future Presidents

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

49

Global Emissions

But developing countries account for more than half of present CO2 emissions from the burning of fossil fuels, because there are more people in developing countries.

China’s emission are about double the US, but their population is about 4 times as large

http://www.epa.gov/climatechange/ghgemissions/global.html

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

50

Global Emissions

Emissions from the developing world are rising very rapidly, while those from the developed world are stable (but already high, per person)

“To favor dropping carbon dioxide [levels in the air], while arguing for no restraints on the developing world is inconsistent […] Just to stabilize greenhouse emissions, the emerging economies must cut emission intensity by 8%-10% per year. That will be hard—probably impossible.”

And remember: our goal is not to stabilize emissions, but to reduce them to zero

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

51

Global Emissions

Although China has offered to start reducing their emissions per unit of GDP, their economy is growing so fast that their emissions are still expected to rise for at least anther 10 years

Recall again: Our goal is not to stabilize emissions—it’s to get them down to zero

Although the US has offered to decrease emissions by about 25% over the next 10 years, recall again that we are trying to get to zero. Even 25% is only a small step.

Bottom line: Although it’s nice that people are starting to talk about cutting emissions, the progress has been very slow compared to IPCC goals

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

52

Greenhouse Gas Sources

This chart shows where our Greenhouse Gas emissions are coming from.

From this, we can deduce what some of the most pressing concerns are

http://www.epa.gov/climatechange/ghgemissions/global.html

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

53

Greenhouse Gas Sources

http://www.epa.gov/climatechange/ghgemissions/global.html

Switch to Clean Energy

Better insulation and efficiency

Use less Energy

Esp. Heat/AC

Switch to Clean Vehicles

Long-term: Electric/Hydrogen powered by solar/wind/nuclear

Short-term: Hybrids/better mpg, Natural Gas cars, Drive less

Stricter environmental regulations

Less consumption of animal products

Stop deforestation

Stricter regulations

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

54

Chapter 10E: Energy Security and Fossil Fuel Supply

Are we running out of fossil fuels?

Will the Global Warming problem solve itself because we have no fuels left to burn?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

55

Fossil Fuels

One of the key sources of CO2 is the burning of fossil fuels

Let us explore some of the questions surrounding the availability and use of fossil fuels

Will this problem solve itself when we run out of fossil fuels?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

56

https://s-media-cache-ak0.pinimg.com/736x/19/27/12/192712e882c33b41833ec427bf65724c.jpg

Fossil Fuels

Are we running out of Fossil Fuels?

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

57

No, definitely not.

We are running out of cheap, easily extracted oil, but if the price of oil goes up it will become economical to extract and use the many vast supplies of other resources

We still have vast supplies of

Alternative sources of oil (underwater, oil shale, etc.)

Coal (which can be turned into diesel fuel)

Natural Gas (including under the ocean)

Many other sources that we haven’t bothered with because they are expensive to produce

Oil Supply

We have only extracted a small fraction of the world’s oil, but

(aside from OPEC’s supply), most of the remainder is difficult to extract

From Physics and Technology for Future Presidents

Oil we’ve used so far

Oil we have left

And that’s only oil!

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

58

Oil Price

The high price of oil not long ago made a number of

oil extraction techniques economically viable, even though they would never have been used in the 1990’s

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

59

http://inflationdata.com/articles/charts/inflation-adjusted-oil-prices-chart/

Oil Price

When the oil price goes up, other sources of Energy become

viable, but (not coincidentally) OPEC ensures that the price of oil never exceeds these levels for long

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

60

http://inflationdata.com/articles/charts/inflation-adjusted-oil-prices-chart/

Fossil Fuel Comparison

There are also other sources of Fossil Fuels besides oil

Including coal and natural gas

These also become more attractive when the price of oil goes up

From Physics and Technology for Future Presidents

Compare

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

61

Fossil Fuels

The good news is that the fossil fuel supply is not such a big issue as some people make it. There are plenty of fossil fuel sources left in the US and around the world. They will just cost a bit more to use.

The bad news is that, even though these fossil fuels are available, we shouldn’t use them. Burning these fuels releases CO2, and we need to stop emitting CO2 immediately or the problem of Global Warming is only going to get worse

Possible exception: Maybe as a short-term solution we should wean ourselves off of fossil fuels by switching to fuels that emit less CO2, such as Natural Gas

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

62

Fossil Fuels

For a more in-depth discussion of many of the various Energy sources available, an excellent source is our textbook author’s other book, Energy for Future Presidents

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

63

63

Chapter 10 Summary

Evidence of Global Warming is clear and obvious.

It is almost certain that Global Warming has been caused completely or mostly by humans. This is most obvious because of the clear relationship between global temperature and CO2 concentration in the air

CO2 increases the temperature because it prevents Heat Energy from escaping into outer space. This is called the Greenhouse Effect

CO2 concentrations are at their highest levels in hundreds of thousands (perhaps millions) of years

CO2 is released when fossil fuels are burned

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

64

64

Chapter 10 Summary

The temperature is determined by cumulative CO2 emissions, so stopping Global Warming means stopping the use of fossil fuels completely

Most Greenhouse Gas emissions come from the developing world (such as China), but the most Greenhouse Gas emissions per person come from the richest countries (such as the US)

The world is not running out of fossil fuels. We are only running out of the cheap oil we have been using for the past few decades.

11/8/2016

Prof. Michael Opferman | Phys 0847 | Temple University

65

65