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yes
Yes, but not directly. Your mitochondria must "burn" hydrogen and oxygen to form water AND transfer that energy to ADP in order to form ATP, That energy you can use.
Nitrogen is not flammable. Combining it with oxygen actually absorbs energy. Nitrogen forms various oxides including nitrous oxide (N2O), nitric oxide (NO), and nitrogen dioxide (NO2).
Argon, Carbon Dioxide, Nitrogen, oxygen, hydrogen
Nitrogen is lighter than oxygen
Nitrogen and oxygen are not greenhouse gases. They are unable to trap and store heat. 3-atom gases like carbon dioxide (CO2) and methane store this heat and cause the greenhouse effect.
Nitrogen (N2) is thermodynamically inert. Therefore it contributes essentially nothing to the greenhouse effect. The same is true with free oxygen (O2).
Independently, oxygen and nitrogen are not greenhouse gases (though N2O, NO and NO2 are greenhouse gases). The most important greenhouse gas is carbon dioxide. Methane, although found in quite low concentrations is also important because of its proportionately greater effect.
Oxygen and Nitrogen
Energy nitrogen and oxygen
Greenhouse Gases (water, carbon dioxide, methane, SF6 etc.) are made up of at least two molecules. The bond size between the atoms in the molecules is such that it can absorb heat more easily than other molecules. When solar energy comes to the atmosphere they absorb the solar energy as heat then radiate it to other atmospheric (non-greenhouse) gases such as nitrogen and oxygen..
Different molecules have different characteristic vibrational frequencies for their interatomic bonds. They absorb energy that matches that frequency. The vibrational frequencies for O2 and N2 bonds don't match the main wavelengths of the energy coming from the sun or radiating back out from the earth. Water (~98 of the greenhouse effect is from water vapor) and other greenhouse gases DO have vibrational frequencies that match that energy and thus readily absorb it.
Oxygen
yes
Oxygen and nitrogen have equal average kinetic energy per molecule at room temperature. This is assuming that both oxygen and nitrogen molecules are in fact at room temperature.
half filled P orbitals increase the stability resulting in higher ionization energy
The chemical name of a greenhouse gas that contains carbon and oxygen is carbon dioxide.