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Explain following terms : (i) u_(mp)(ii) u_(av)(iii)u^(2) (iv)u_(rms) |
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Answer» Solution :(i) Most probable speed `(u_(mp))` : At fixed temperature, MAXIMUM number of molecule of gas. `u_(mp)=sqrt((2RT)/(M))=0.816xx u_(rms) ""`…..(EQ. -i) (ii) AVERAGE speed `(u_(av))` : Different velocity average at molecules of gas is known as average speed. `u_(av)=(u_(1)+u_(2)+u_(3)+.....u_(n))/(n)` where, `u_(1), u_(2), u_(3)` .... = speed of different molecule and n = number of molecules of gas. `u_(av)=sqrt((8RT)/(M))` (iii) Square of average speed of molecules `(u^(2))` :Square of average speed of molecule is kinetic energy of molecules of gas. `bar(u)^(2)=(u_(1)^(2)+u_(2)^(2)+.......u_(n)^(2))/(n) ""` ....(Eq. -ii) `u^(2)=(3RT)/(M) ""`......(Eq. - iii) `(u_(rms))` : 1 root `(bar(u)^(2))` average speed square speed is known as `(u_(rms))`. `u_(rms)=sqrt(bar(u)^(2))=sqrt((u_(1)^(2)+u_(2)^(2)+u_(3)^(2)+......)/(n)) ""`......(Eq. - IV) |
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