For a given gas at 1\; atm pressure, rms speed of the molecules is 200\; m/s at 127^{\circ}C. At 2\; atm pressure and at 227^{\circ}C, then rms speed of the molecules will be :

  • Option 1)

    100\: m/s

  • Option 2)

     80\sqrt{5}\; m/s

  • Option 3)

    100\sqrt{5}\; m/s

  • Option 4)

    80\: m/s

 

Answers (1)

V_{rms}=\sqrt{\frac{3RT}{M}}

    \frac{V_{1}}{V_{2}}=\sqrt{\frac{T_{1}}{T_{2}}}

  \frac{200}{V_{2}}=\sqrt{\frac{400}{500}}

V_{2}=200\sqrt{\frac{5}{4}}

V_{2}=100\sqrt{5}\; m/s

 


Option 1)

100\: m/s

Option 2)

 80\sqrt{5}\; m/s

Option 3)

100\sqrt{5}\; m/s

Option 4)

80\: m/s

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