mole 問題

mole 在中國大陸和香港譯作「摩爾」，在台灣譯作「莫耳」。

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The statement of 'a mole of oranges would make a sphere larger than the Earth' is FALSE.

The Earth's volume = 1.08321 x 10^ 12 km ³
(http://en.wikipedia.org/wiki/Figure_of_the_Earth)

1 km = 1000 m = 1000 x 100 cm
Hence, 1 km = (1000 x 100)^ 3 cm ^3 = 10^ 15 cm ^3

The Earth' volume = (1.08321 x 10^12) x (10^15) = 1.08321 x 10^ 27 cm ^3

If 1 mole of oranges makes a sphere larger than the Earth,
volume occupied by each orange
> (1.08321 x 10^27) / (6.02 x 10^23) cm^1 = 1799 cm ^3

I think no (or even rare) orange has a volume greater than 1799 cm ^3.
Therefore, a mole of oranges would make a sphere SMALLER than the Earth

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The statement 'a mole of rice grains would cover Australia to a depth of 2 km ' is also FALSE.

Area of Australia = 7692024 km ^2 ≈ 7.69 x 10^ 6 km ^2
(http://www.ga.gov.au/education/geoscience-basics/dimensions/area-aus-states-territories.jsp)

Volume to cover Australia to a deep of 2 km
= (7.69 x 10^6) x 2 km ^3
= 15.38 km ^3
= 15.38 x 10^ 15 cm ^3
= 1.538 x 10^ 16 cm ^3

If cover with rice, volume of occupied by each grain of rice
= (1.538 x 10^16) / (6.02 x 10^23) cm^3
= 2.555 x 10^ -8 cm ^3
= 2.555 x 10^ -5 mm ^3

I think the volume of a grain of rice should be greater than this.
Therefore, a mole of rice grains would cover Australia to a depth MUCH GRATER THAN 2 km .

1.是摩爾。

2.只是說明摩爾包含的數量多大，可以想像一摩爾的數量有多大。

我知mole中文係咩ja,係摩爾!至於第二就5知la