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Kinetic theory of gases. Boltzmanns Law and Maxwell distribution

Problem 2.63

A vessel of volume V=5.0V=5.0 l contains m=1.4 gm=1.4 \mathrm{~g} of nitrogen at a temperature T=1800 K.T=1800 \mathrm{~K} . Find the gas pressure, taking into account that η=30%\eta=30 \% of molecules are disassociated into atoms at this temperature.

Reveal Answer
2.63. p=(1+η)mRT/MV=1.9p=(1+\eta) m R T / M V=1.9 atm, where MM is the mass of an N2\mathrm{N}_{2} mole.
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