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Question Number 180902 by nadovic last updated on 19/Nov/22

$$\mathrm{Calculate}\mathrm{the}\mathrm{root}\mathrm{mean}\mathrm{square}$$$$\mathrm{speed}\mathrm{of}\mathrm{the}\mathrm{molecules}\mathrm{of}\mathrm{a}Helium$$$$\mathrm{gas}\mathrm{kept}\mathrm{in}\mathrm{a}\mathrm{gas}\mathrm{cylinder}\mathrm{at}400\mathrm{K}.$$$$[Take\mathrm{R}=8.3{Jmol}^{-1}{K}^{-1}]$$$$Theanswerprovidedis1.58{kms}^{-1}$$$$\mathrm{Please}\mathrm{I}\mathrm{need}\mathrm{help}\mathrm{with}\mathrm{the}\mathrm{solution}$$

Answered by Sam09 last updated on 19/Nov/22

$$M=4{gmol}^{-1}=4\times {10}^{-3}{kgmol}^{-1}$$$$rms=\sqrt{\frac{3RT}{M}}$$$$=\sqrt{\frac{3\times 8.3\times 400}{4\times {10}^{-3}}}{ms}^{-1}$$$$=1578{ms}^{-1}$$$$=1578\times {10}^{-3}{kms}^{-1}$$$$=1.578{kms}^{-1}$$

Commented by nadovic last updated on 11/Dec/22

$$\mathrm{Thanks}\mathrm{Sir}$$

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