Science

Questions of Science: Free the atoms

Oxygen has a slightly greater density than nitrogen. Why, then, don’t these main constituents of air separate out?

MD overlapGAS MOLECULES move rapidly at room temperature, with oxygen and nitrogen travelling at around 500 metres per second, so they obviously collide frequently. This allows the oxygen and nitrogen molecules to mingle and mix, rather like large numbers of people on a nightclub dance floor, in a process known as diffusion. Convection, the transfer of heat within the atmosphere, also plays an important role in this gas mixing process.

Gas mixing is a spontaneous process. This means that if you had a container with two compartments separated by a barrier, with one compartment containing pure nitrogen and the other pure oxygen, the two gases would automatically mix or diffuse as soon as the barrier was removed.

A change in the ratio of oxygen to nitrogen would be expected in a hypothetical quiescent atmosphere. However, constant mixing occurs in the real atmosphere, driven by the Earth’s rotation and by differences in density between hot air at the Earth’s surface and colder air higher up.

Up to altitudes of between 80 and 120 kilometres this mixing results in a uniform concentration of oxygen and nitrogen – which respectively make up approximately 21 per cent and 78 per cent of the atmosphere.

This region is known as the homosphere. Partial stratification of the two gases does occur above 120 kilometres, in the heterosphere, where the density of air is much lower than at the surface and the efficiency of bulk mixing processes is reduced.

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If there were no circulation in the atmosphere, the oxygen would tend to concentrate in the lower strata. This process would take millions of years once circulation ceased because molecules of oxygen (and, indeed, nitrogen) are constantly colliding with other molecules. This means it would take a long time for a particular molecule to fall from its starting point to the ground. Once it hit the ground, it would bounce and eventually rise again to a great height, only to fall again. This would be repeated frequently if no other variable, such as temperature, changed.

Although the individual molecules continue to travel up and down, each ‘species’ of oxygen and nitrogen would eventually reach an equilibrium distribution of molecules per unit volume as a function of height. This species density will decrease with height by an amount that depends on the molecular weight of the species. So, the oxygen would fall off with height slightly faster than the nitrogen. At high altitudes, the air would become richer in nitrogen, but then other gases such as water vapour, neon, methane, helium and hydrogen would dominate.

In fact, atmospheric circulation and turbulence prevents this from happening in the lower atmosphere. But in the very high atmosphere there is not much circulation and the composition does become dominated by atomic oxygen. Above 600 kilometres this is superseded by helium, and eventually by atomic hydrogen.

science in motion

Science-in-motion: a series of short articles following topics in science.

. Molecular geometry

This describes the overall shape of a molecule in terms of how the atoms inside it are arranged. Examples of simple structures are linear molecules like carbon dioxide (O=C=O) and tetrahedral molecules like methane, which consists of a carbon atom with four hydrogen atoms surrounding it at the corners of a tetrahedron.

Trigonal-bipyramidal molecules are shaped like two pyramids back to back, while octahedral molecules have a shape like an eight-sided solid. Octahedral molecules include the compound sulphur hexafluoride (SF6).

‘Isomers’ are compounds that have the same chemical formula but different molecular structures. For instance, the sugar fructose is an isomer of glucose – they have the same formula C6H12O6, but their atoms are arranged in different ways. Sometimes, two isomers are mirror images of each other, in which case the molecule is said to be ‘chiral’ and the two mirror-image forms are called enantiomers. Chiral molecules include most amino acids (which are the building blocks of proteins).

Molecular Geometry

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Philosophy, Science

Philosophy and Science

REASONING

Einstein

THROUGHOUT much of the history of philosophy, there was no such thing as science in its modern form: in fact, it was from philosophical enquiry that modern science has evolved. The questions that metaphysics set out to answer about the structure and substance of the universe prompted theories that later became the foundations of natural philosophy, the precursor of what we now call physics. The process of rational argument, meanwhile, underpins the ‘scientific method’.

. Previously (Philosophy) Essential Thinkers: Friedrich Nietzsche

Since the 18th century, many of the original questions of metaphysics have been answered by observation, experiment and measurement, and philosophy appeared to be redundant in these areas. Philosophers have since changed their focus to examine science itself. Some, like Hume, challenged the validity of inductive reasoning (empiricism) in science, while others sought to clarify the meaning of terms used by science, opening up a ‘philosophy of science’ that considers areas such as scientific ethics and the way science makes progress.

Logic

In seeking answers to questions about the universe and our place in it, philosophy is distinguished from religion or mere convention by its use of reasoning. Philosophy proposes ideas because of thought with the assertions justified with sound rational argument. Convention or mere belief is not enough. Various logical techniques have been devised to show whether an argument is valid or fallacious.

In simple terms, logic is the process of inferring a conclusion from statements known as premises, either deriving a general principle from specific examples (inductive reasoning) or reaching a conclusion from general statements (deductive reasoning). The classical form of logical argument, the syllogism, consisting of two premises and a conclusion, was officially formalised by Aristotle and has remained the mainstay of philosophical logic until advances in mathematical logic brought in new ideas in the 19th century. Later, in the 20th century, symbolic logic opened new fields still further within philosophy.

Metaphysics

For the first philosophers, the burning question was: ‘What is everything made of?’ At its most basic, this is the central question of a branch of philosophy known as metaphysics. Many of the theories proposed by the ancient Greek philosophers – the notions of elements, atoms, and so on – formed the basis of modern science, which has since provided evidence-based explanations for these fundamental questions.

Metaphysics, however, has evolved into a field of enquiry beyond the realms of science: as well as dealing with the make-up of the cosmos, it examines the nature of what exists, including such ideas as the properties of material things, the difference between mind and matter, cause and effect, and the nature of existence, being and reality (ontology).

Although some philosophers have challenged the validity of metaphysics in the face of scientific discovery, recent developments in areas such as quantum mechanics have renewed interest in metaphysical theories.

. See also Philosophy: An introduction…
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Arts, Drama, Legal

You Be The Jury: The Case of The Sleeping Prisoner

The Presiding Judge

. Similar The Case Of The Flying Toy…

LADIES AND GENTLEMEN OF THE JURY:

Escape from jail is a serious crime, even if the person was first arrested for a minor offence.

Such is the case before you today. Since we are in criminal court, the State is the accuser.

The State contends that Soney Najac, who was arrested for sleeping on a park bench, broke out of jail. But Mr Najac claims his cell door was unlocked. He just pushed it open and walked out.

The police officer, Constable Thomas Nash, testifies as follows:

“It was about two o’clock in the morning and I was making my rounds in Vernon Park. No one is supposed to be there after dark.

“I was walking along when I heard a strange sound. At first, I thought it might be thunder, but it was a starry night without any clouds. Then I realised what the sound was. Someone was snoring. I turned on my flashlight and there was this man on a bench. He was sound asleep.

“I tried to wake him without success. I couldn’t leave him there, so I figured that the best thing to do was to strap him on to my motorcycle and drive down to police headquarters.”

The stranger’s wallet provided more information. His name was Soney Najac and the address inside showed he was from a foreign country.

The constable continues his testimony:

“The man was still asleep when I got to the station, so I carried him into a cell. It was my turn for night duty and I relieved the officer in charge.

“At about six o’clock that morning, I went to the coffee shop around the corner to bring back some coffee and delicacies. It couldn’t have taken more than a few minutes.

“When I got back, I was shocked to find the cell door open. The prisoner had escaped.”

All police were alerted. That afternoon Soney Najac was arrested, but he was looking in a shop window. This time it was a more serious charge: escaping from jail.

The State described its theory of how Mr Najac managed his escape. EXHIBIT A is a diagram showing the inside of the police station. It has two cells. On one wall is a box containing keys. Mr Najac was in the cell nearest the wall.

Two close-up photographs showing the key box are presented as EXHIBIT B. They show the box both open and closed. Each key is hanging on a large ring. If someone in a cell had a long pole, it would be possible for him to reach the key box.

This, the State contends, is how the breakout occurred. It enters as EXHIBIT C a photograph showing a broom that was found near Soney Najac’s cell.

The State believes that the prisoner grabbed the broom, reached over to the box, and caught the keyring on one end. This was his means of escape.

I will now read from the cross-examination of Constable Nash by Mr Najac’s court-appointed lawyer:

Q How can you be sure the cell door was locked?

A I have been a policeman in this town for fifteen years. In all that time I never left a cell unlocked. What makes anyone think I did it this time?

Q Did you find the door to the key box closed following the prisoner’s departure?

A It had to be. The door is on a spring and it swings closed automatically.

Q Then how was it possible for Mr Najac to use the broom to loop the key?

A That’s not hard to do. The ring on the front of the box can be pulled open with the broom handle. Then you can quickly catch the big keyring on the end of the broom before the door shuts. I know it can be done. I’ve tried it myself.

 

Soney Najac testified on his own behalf. Since he could not speak English, his testimony was presented through an interpreter.

“My name is Soney Najac. I arrived in your country just two weeks ago. A friend told me I might find a job in this area. So, I took a bus to your town.

“I was tired from the trip and didn’t have much money. When it got dark, I walked into the park and saw a bench. I hadn’t had much sleep for the past few days, so I lay down on the bench for the night.

“When I woke up, I didn’t know where I was. All I knew was that I was in this room with bars. No one else was around.

“I stood up and leaned against the door. It started to move, so I pushed it open and walked out. I never knew I had been arrested.”

Mr Najac’s lawyer continues his defence:

“As proof that Mr Najac did not use a key to escape from his cell, your attention is again drawn to EXHIBIT B. This photograph was taken shortly after the alleged breakout occurred.

“You will note the keys to both cells are hanging on their hooks. If Mr Najac had used the key to escape, it is unlikely that he would have taken the time to put it back on its hook.

“The State’s theory of the escape is hard to believe. The truth is simply this: Soney Najac woke up, didn’t know where he was, found the cell door open – and just walked out!”

 

LADIES AND GENTLEMEN OF THE JURY:

You have just heard the Case of The Sleeping Prisoner. You must decide the merit of the State’s accusation. Be sure to carefully examine the evidence in EXHIBITS A, B, and C.

Did Soney Najac escape from jail using a key? Or, did he just walk out through the unlocked door?

EXHIBITS:

 

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