Weight Of 1 Liter Water
2 Answers ii
$\begingroup$
It is not a coincidence. As the Wikipedia commodity on the Litre says:
One litre of h2o has a mass of well-nigh exactly one kilogram when measured at its maximal density, which occurs at most 4 °C. Similarly: 1 millilitre (ane mL) of h2o has a mass of about one g; 1,000 litres of water has a mass of almost 1,000 kg (one tonne). This relationship holds because the gram was originally defined as the mass of 1 mL of water; however, this definition was abandoned in 1799 because the density of water changes with temperature and, very slightly, with pressure.
answered Aug 29, 2018 at sixteen:49
ACuriousMind♦ ACuriousMind
111k 27 gold badges 240 silver badges 587 statuary badges
$\endgroup$
$\begingroup$
1 liter of water equals $one\ \mathrm{kg}$ weight. 1 liter of water is also the aforementioned every bit $1000\ \mathrm{cm^3}$ i.eastward. cubic centimeter ($10\ \mathrm{cm}\times10\ \mathrm{cm}\times10\ \mathrm{cm}$ in volume) and i liter is the aforementioned every bit 1 cubic decimeter (ten centimeters is 1 decimeter).
Therefore 1 cubic meter book is the aforementioned as 1000 cubic decimeter or 1000 liters and that is why 1000 liters of water weighs $m\ \mathrm{kg}$ or ane ton. Similarly, $1\ \mathrm{cm^3}$ is the same as $1\ \mathrm{ml}$ and weighs $1\ \mathrm g$ of water.
It is not a mere coincidence but a simple equivalence measurement between the Metric organization and the SI organisation of measurements.
answered Dec 18, 2019 at xx:30
$\endgroup$
2
Weight Of 1 Liter Water,
Source: https://physics.stackexchange.com/questions/425531/is-it-a-coincidence-that-1-liter-water-has-a-mass-of-1-kg-while-1-cubic-meter-ha
Posted by: helmdoughs.blogspot.com
$\begingroup$ Welcome to stack commutation. Unfortunately, your math does not answer the question "why this relationship hold". $\endgroup$
Dec 18, 2019 at 20:52
$\begingroup$ "It is not a mere coincidence merely a simple equivalence measurement betwixt the Metric system and the SI organisation of measurements." Isn't the equivalence between metric and SI more due to the fact that SI is directly based off metric units? $\endgroup$
Mar 19, 2020 at 14:51