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the question is related k.e. theory of gases:- consider a sample of 10 molecules with speed distribution as shown: 2 molecules-100m/s 3 molecules-200m/s 4 molecules-300m/s 1 molecule-50m/s find v mp amd v rms ? v mp is clearly 300 m/s.i used this speed to calc. v rms and got v rms =367.4 m/s(using v rms /v mp = ). but if one finds answer of v rms using v rms =(v 1 2 +v 2 2 +v 3 2 +.........+v n 2 )/n the answer comes out to be 224m/s(appx.). can anyone tell where is the error??????????


the question is related k.e. theory of gases:-

consider a sample of 10 molecules with speed distribution as shown:

2 molecules-100m/s

3 molecules-200m/s

4 molecules-300m/s

1 molecule-50m/s

find vmp amd vrms?

vmp is clearly 300 m/s.i used this speed to calc. vrms and got vrms=367.4 m/s(using vrms/vmp=).

but if one finds answer of vrms using vrms=(v12+v22+v32+.........+vn2)/n the answer comes out to be 224m/s(appx.).

can anyone tell where is the error??????????


Grade:upto college level

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