How big is a mole Not the animal the other one. Daniel Dulek

OK, today we’re going
to talk about the mole.

Now, I know what you’re thinking:
“I know what a mole is,

it’s a small furry creature that digs holes
in the ground and destroys gardens.”

And some of you might be thinking that it’s a growth
on your aunt’s face with hairs sticking out of it.

Well, in this case, a mole is a concept
that we use in chemistry to count molecules,

atoms, just about anything
extremely small.

Have you ever wondered how many atoms
there are in the universe?

Or in your body? Or
even in a grain of sand?

Scientists have wanted
to answer that question,

but how do you count something
as small as an atom?

Well, in 1811, someone had an idea
that if you had equal volumes

of gases, at the same
temperature and pressure,

they would contain an equal
number of particles.

His name was Lorenzo Romano
Amedeo Carlo Avogadro.

I wonder how long it took
him to sign autographs.

Unfortunately for Avogadro, most scientists
didn’t accept the idea of the atom,

and there was no way
to prove he was right.

There was no clear difference
between atoms and molecules.

Most scientists looked at Avogadro’s work
as purely hypothetical,

and didn’t give it much thought.

But it turned out he was right!
By late 1860,

Avogadro was proven correct,
and his work helped lay the foundation

for the atomic theory. Unfortunately,
Avogadro died in 1856.

Now the thing is that the amount
of particles in even small samples

is tremendous. For example,

If you have a balloon of any gas
at zero degrees Celcius,

and at a pressure of one atmosphere,
then you have precisely

six hundred and two sextillion
gas particles.

That is, you have six with 23 zeros
after it particles of gas in the container.

Or in scientific notation, 6.02
times 10 to the 23rd particles.

This example is a little misleading,

because gases take up a lot of space
due to the high kinetic energy

of the gas particles, and it leaves you
thinking atoms are bigger than they really are.

Instead, think of water molecules.

If you pour 18.01 grams
of water into a glass,

which is 18.01 milliliters,
which is like three and a half teaspoons of water,

you’ll have 602 sextillion
molecules of water.

Since Lorenzo Romano - uh, never mind - Avogadro
was the first one to come up with this idea,

scientists named the number 6.02
times 10 to the 23rd after him.

It is simply known as Avogadros’s number.

Now, back to the mole. Not that mole.

This mole. Yep, this
number has a second name.

The mole. Chemists use the term mole

to refer to the quantities
that are at the magnitude of 602 sextillion.

This is known as a molar quantity.

Atoms and molecules are so small, that chemists
have bundled them into groups called moles.

Moles are hard for students to understand
because they have a hard time

picturing the size of a mole,

or of 602 sextillion.

It’s just too big to wrap
our brains around.

Remember our 18.01 milliliters of water?

Well, that’s a mole of water.

But how much is that?

Exactly what does 602
sextillion look like?

Maybe this’ll help.

Exchange the water particles for donuts.

If you had a mole of donuts,
they would cover the entire earth

to a depth of eight kilometers,

which is about five miles.

You really need a lot of coffee for that.

If you had a mole of basketballs,
you could create a new planet

the size of the earth.

If you received a mole of pennies on the day
you were born and spent a million dollars

a second until the day you died at the age
of 100, you would still have more than 99.99%

of your money in the bank.

OK. Now we sort of have an idea
how large the mole is.

So how do we use it?

You might be surprised to know
that chemists use it the same way

you use pounds to buy
grapes, deli meat, or eggs.

When you go to the grocery store,
you don’t go to the deli counter

and ask for 43 slices of salami,
you buy your salami by the pound.

When you buy your eggs,
you buy a dozen eggs.

When we hear the word dozen,
we probably think of the number 12.

We also know that a pair is two,

a baker’s dozen is 13,

a gross is 144, and a ream
of paper is - anybody?

A ream is 500.

Well, a mole is really the same thing.

For a chemist, a mole conjures
up the number 6.02 times 10 to the 23rd,

not a fuzzy little animal.
The only difference is

that the other quantities
are more familiar to us.

So there you have it -
the story of the mole,

Avogadro, basketballs, and how to buy
salami at the grocery store.

好的,今天我们
来谈谈鼹鼠。

现在,我知道你在想什么:
“我知道鼹鼠是什么,

它是一种毛茸茸的小动物,会
在地上挖洞并破坏花园。”

你们中的一些人可能会认为这是
你姨妈脸上长出的毛发。

好吧,在这种情况下,摩尔
是我们在化学中用来计算分子、

原子以及几乎任何
非常小的东西的概念。

你有没有想过
宇宙中有多少个原子?

还是在你的身体里?
甚至在一粒沙子里?

科学家们一直
想回答这个问题,

但是你如何计算
像原子一样小的东西呢?

嗯,在 1811 年,有人
想到如果你有相同体积

的气体,在相同的
温度和压力下,

它们将包含相同
数量的粒子。

他的名字是洛伦佐·罗马诺·
阿梅代奥·卡罗·阿伏加德罗。

我想知道
他签名花了多长时间。

对阿伏伽德罗来说不幸的是,大多数科学家
不接受原子的想法,

也没有
办法证明他是对的。

原子和分子之间没有明显的区别。

大多数科学家认为阿伏伽德罗的
工作纯粹是假设性的,

并没有多加考虑。

但事实证明他是对的!
到 1860 年底,

阿伏伽德罗被证明是正确的
,他的工作

为原子理论奠定了基础。 不幸的是,
阿伏伽德罗于 1856 年去世。

现在的问题是,
即使是小样本中的粒子数量

也是巨大的。 例如,

如果你有一个零摄氏度的任何气体气球

,压力为一个大气压,
那么你正好有

六百零二个六十分之一的
气体粒子。

也就是说,在容器中的气体粒子之后,您有 6 个和 23 个零

或者用科学计数法,6.02
乘以 10 到第 23 个粒子。

这个例子有点误导,

因为由于气体粒子的高动能,气体占据了很多空间

,它让你
认为原子比实际更大。

相反,想想水分子。

如果您将 18.01
克水倒入玻璃杯中

,即 18.01 毫升
,相当于三茶匙半的水,

您将拥有 602 个六万亿
分子的水。

由于 Lorenzo Romano - 呃,没关系 - Avogadro
是第一个提出这个想法的人,

科学家们将这个数字命名为 6.02
乘以 10 到第 23 位。

它简称为阿伏伽德罗斯数。

现在,回到痣。 不是那个痣。

这个痣。 是的,这个
号码有第二个名字。

鼹鼠。 化学家使用术语“摩尔”

来指
代 602 六万亿次的数量。

这被称为摩尔量。

原子和分子是如此之小,以至于化学家
将它们捆绑成称为摩尔的组。

痣对学生来说很难理解,
因为他们很难

想象一个痣的大小,

或者说 602 六分之一。

它太大了,无法包裹
我们的大脑。

还记得我们的 18.01 毫升水吗?

嗯,那是一摩尔水。

但那是多少?

602 sextillion 到底是
什么样的?

也许这会有所帮助。

将水颗粒换成甜甜圈。

如果你有一摩尔甜甜圈,
它们将覆盖整个地球

,深度达到八公里,

也就是大约五英里。

你真的需要很多咖啡。

如果你有一颗篮球,
你可以创造一个

地球大小的新星球。

如果你在出生那天收到一摩尔便士
,每秒花费一百万美元,

直到你在 100 岁去世的那一天
,你仍然有超过 99.99%

的钱在银行里。

行。 现在我们大概知道
痣有多大了。

那么我们如何使用它呢?

您可能会惊讶地
发现,化学家使用它的方式与

您使用英镑购买
葡萄、熟肉或鸡蛋的方式相同。

当你去杂货店时,
你不会去熟食

柜台要 43 片意大利腊肠,
而是按磅购买意大利腊肠。

当你买鸡蛋时,
你会买一打鸡蛋。

当我们听到一打这个词时,
我们可能会想到数字 12。

我们还知道一对是二,

一打是 13,

一打是 144,一
令纸是——有人吗?

一令是 500 令。

嗯,一颗痣其实是一回事。

对于化学家来说,一颗
鼹鼠将数字 6.02 乘以 10 到 23 次,

而不是一只毛茸茸的小动物。
唯一的区别是

我们更熟悉其他数量。

所以你有它 -
鼹鼠,

阿伏加德罗,篮球,以及如何
在杂货店购买意大利腊肠的故事。