No, they are in motion in a liquid as well. In a solid they vibrate in place.
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Yes, the molecules of a gas are constantly in a random motion if the gas temperature is more than 0 degree kelvin. This random motion determines the average kinetic energy of the molecules which is equal to the temperature of the gas. I hope this answers your question.
Avogadro's number is the number of molecules in a mole of a substance. This is expressed as 6.022 141 29 E23 /mol. This is defined as the number of atoms in 12 grams of carbon12. A mole of any gas has this number of molecules. Any fraction of that mole must be divided into the number.
the four states of matter are a solid, liquid ,gas, and plasma the molecules in a solid are tightly packed together in a liquid they take the shape of its container a gas the molecules move freely and in plasma the molecules attract each other positive and negative
Because gas molecules continually collide with others. The result is a random path (known mathematically as a drunkard's walk) which results in a very long time to cover a significant distance.
The volume fraction of a substance is equal to the mole fraction for ideal gas mixture