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For one dimensional motion prove that S ...

For one dimensional motion prove that `S = ut + 1/2 at^2`, where the symbols have their usual meanings.

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The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 At what temperature, when pressure remain unchanged , will the rms speed of a gas be half its value at 0^@C ?

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The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 Average thermal energy of 1 mol of helium at 27^0 C temperature is (given constant for 1 mol= 8.31 J.mol^-1.K^-1 )

The pressure exerted by an ideal gas is p= 1/3 M/Vc^2 where the symbols have their usual meanings. Using standard gas equation, pV=nRT we find that c^2=(3RT)/M or C^2 prop T . Average kinetic energy of translation of 1 mol of gas= 1/2 Mc^2=(3RT)/2 Average thermal energy of a helium atom at room temperature (27^@C) is (given Boltzmann constant k=1.38 times 10^-23 J.K^-1 )