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Calculate the average molecular kinetic energy :
(a) per kilomole, (b) per kilogram, of oxygen at 27°C.
(R = 8320 J/k mole K, Avogadro's number = 6*03 x 1026 molecules/K mole)
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Solution
Given that
Temperature = 27°C = (273 + 27) K = 300 K
(a) `"Average kinetic energy per kilo mole" = 3/2RT`
`=3/2xx 8320 J/K "mole" xx300 K`
`=3.744 xx 10^6J`
(b) `"Kinetic energy per kilogram"="Kinetic energy per kilo mole"/"Molecular weight"`
`"Molecular weight of oxygen"= 32`
`"Kinetic energy per kilogram"=(3.744xx10^6 J)/32=0.117xx10^6 J`
Concept: K.E.(Kinetic Energy) and P.E.(Potential Energy) in S.H.M.
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