The molecules of a given mass of gas have an rms velocity of 200 m s - 1 at 27 ° C and pressure 1 atm . When the temperature is 127 ° C and pressure is 2 atm , the rms velocity in m s - 1 will be?

Question

The molecules of a given mass of gas have an rms velocity of 200 m s - 1 at 27 ° C and pressure 1 atm . When the temperature is 127 ° C and pressure is 2 atm , the rms velocity in m s - 1 will be?, 100 2 3, 100 2, 400 3, None of these

MARKS App · Accepted Answer

RMS velocity doesn't depend upon pressure, it depends upon temperature only, ie . , v rms ∝ T . ⇒ v 1 v 2 = T 1 T 2 ⇒ 200 v 2 = ( 273 + 27 ) ( 273 + 127 ) = 300 400 ⇒ v 2 = 400 3 m s - 1

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