The maximum height at which nitrogen molecule will go before coming to rest is 14 kilometers.
Given:
The nitrogen gas molecule with a temperature of 330 Kelvins is released from Earth's surface to travel upward.
To find:
The maximum height of a nitrogen molecule when released from the Earth's surface before coming to rest.
Solution:
- The maximum height attained by nitrogen gas molecule = h
- The temperature of nitrogen gas particle = T = 330 K
The average kinetic energy of the gas particles is given by:
![K.E=\frac{3}{2}K_bT\\\\K.E=\frac{3}{2}\times 1.38\times 10^{-23} J/K\times 330 K\\\\K.E=6.381\times 10^{-21} J](https://tex.z-dn.net/?f=K.E%3D%5Cfrac%7B3%7D%7B2%7DK_bT%5C%5C%5C%5CK.E%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%201.38%5Ctimes%2010%5E%7B-23%7D%20J%2FK%5Ctimes%20330%20K%5C%5C%5C%5CK.E%3D6.381%5Ctimes%2010%5E%7B-21%7D%20J)
The nitrogen molecule at its maximum height will have zero kinetic energy as all the kinetic energy will get converted into potential energy
- The potential energy at height h =
![P.E = 6.381\times 10^{-21} J](https://tex.z-dn.net/?f=P.E%20%3D%206.381%5Ctimes%2010%5E%7B-21%7D%20J)
- Molar mass of nitrogen gas = 28.0134 g/mol
- Mass of nitrogen gas molecule = m
![m= \frac{ 28.0134 g/mol}{6.022\times 10^{23} mol^{-1}}=4.652\times 10^{-23} g\\\\1g=0.001kg\\\\m=4.652\times 10^{-23}\times 0.001 kg\\\\=4.652\times 10^{-26} kg](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B%2028.0134%20g%2Fmol%7D%7B6.022%5Ctimes%2010%5E%7B23%7D%20mol%5E%7B-1%7D%7D%3D4.652%5Ctimes%2010%5E%7B-23%7D%20g%5C%5C%5C%5C1g%3D0.001kg%5C%5C%5C%5Cm%3D4.652%5Ctimes%2010%5E%7B-23%7D%5Ctimes%200.001%20kg%5C%5C%5C%5C%3D4.652%5Ctimes%2010%5E%7B-26%7D%20kg)
- The acceleration due to gravity = g = 9.8 m/s^2
- The maximum height attained by nitrogen gas molecule = h
- The potential energy is given by:
![P.E=mgh](https://tex.z-dn.net/?f=P.E%3Dmgh)
![6.381\times 10^{-21} J=4.652\times 10^{-26} kg\times 9.8 m/s^2\times h\\\\h=\frac{6.381\times 10^{-21} J}{4.652\times 10^{-26} kg\times 9.8 m/s^2}\\\\h=13,996.6 m\\\\1 m = 0.001 km\\\\h=13,996.6 m=h=13,996.6\times 0.001 k m\\\\=13.9966 km \approx 14 km](https://tex.z-dn.net/?f=6.381%5Ctimes%2010%5E%7B-21%7D%20J%3D4.652%5Ctimes%2010%5E%7B-26%7D%20kg%5Ctimes%209.8%20m%2Fs%5E2%5Ctimes%20h%5C%5C%5C%5Ch%3D%5Cfrac%7B6.381%5Ctimes%2010%5E%7B-21%7D%20J%7D%7B4.652%5Ctimes%2010%5E%7B-26%7D%20kg%5Ctimes%209.8%20m%2Fs%5E2%7D%5C%5C%5C%5Ch%3D13%2C996.6%20m%5C%5C%5C%5C1%20m%20%3D%200.001%20km%5C%5C%5C%5Ch%3D13%2C996.6%20m%3Dh%3D13%2C996.6%5Ctimes%200.001%20k%20m%5C%5C%5C%5C%3D13.9966%20km%20%5Capprox%2014%20km)
The maximum height at which nitrogen molecule will go before coming to rest is 14 kilometers.
Learn more about the average kinetic energy of gas particles here:
brainly.com/question/16615446?referrer=searchResults
brainly.com/question/6329137?referrer=searchResults
I believe that it is liquid.
Pure substances are substances which are homogenous in nature. They either consists of atoms of 1 kind or molecules of 1 kind. Atoms are seen in elements, where as molecules are seen in compounds like Acids, Bases, etc.
They mostly have fixed properties like boiling and melting points and are uniform in nature. :D
The three traditional states of matter are solid, liquid, and gas.
A state of matter would be considered a physical property as it does not change the chemical composition of the substance and is reversible.
Ex) Freezing water will turn it to ice. The ice is still water and therefore, has not changed chemically. If we warm the ice, it turns to water. That reaction is then considered reversible.
Hope this helped :)