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Calculate the molecular K.E of 1 gram of...

Calculate the molecular K.E of 1 gram of Helium (Molecular weight 4) at `127^(@)C`. Given `R = 8.31 J mol^(-1) K^(-1)`.

Text Solution

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n = number of moles of Helium
`=(1 gm)/(4 gm mol^(-1)) = 0.25 "mole"`
`R = 8.314 J mol^(-1)K^(-1)`,
`T = 127^(@)C = 127+273 = 400K`
`:. "Kinetic energy" = 3/2 nRT = 3/2 xx 0.25 mol`
`xx 8.314 J mol^(-1)K^(-1) xx 400K = 1247.1 J`.
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