At what temperature, pressure remaining ...

At what temperature, pressure remaining unchanged, will the rms velocity of hydrogen be doubled its value at NTP ?

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The correct Answer is:

`819^(@)C`

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The pressure exerted by an ideal gas is P = (1)/(3) (M)/(V)C^(2) , where the symbols have their usual meaning. Using standard gas equation, PV = RT, we find that C^(2) = (3 RT)/(M) or C^(2) oo T . Average kinetic energy of translation of one mole of gas =(1)/(2) MC^(2) = (3 RT)/(2) with the help of the passage given above, choose the most appropriate alternative for each of the following quetions : At what temperature, pressure remaining unchanged, will the rms velocity of hydrogen be double its value at NTP ?

At what temperature , will the root mean square velocity on hydrogen be double of its value at S.T.P ., pressure remaining constant ?

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At what temperature will the r.m.s. velocity of oxygen be one and half times of its value at S.T.P. ?

At what temperature, pressure remaining constant will the r.m.s. speed of a gas molecules increase by 10% of the r.m.s speed at STP?

At what temperature will the root mean square velocity of methane become double of its value at N.T.P.?

At what temperature will the r.m.s. velocity of a gas be half its value at 0^(@)C ?

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