Question

The RMS velocity of gas molecules of given amount of gas at 27 degree Celsius and 1 into 10 to the power 5 Newton per metre square pressure is 200 m per second if the temperature and pressure are respectively are 127 degree Celsius and 0.5 into 10 to the power 5 Newton per metre square The RMS velocity will be

Answer 1

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Answer 2

Rms velocity will be 231.21 m/s

don't worry, if pressure is variable. because rms, average and probable speeds do not depend on pressure. but yes, it depends on temperature.

i.e., rms = √{3RT/M}

means, rms speed is directly proportional to square root of their temperature.

so, rms1/rms2 = √{T1/T2}

given, rms1 = 200m/s , T1 = 27°C = 300K

T2 = 127° = 400 K

so, (200m/s)/rms2 = √(300/400)

⇒(200)/rms2 = 1.73/2

⇒rms2 = 400/1.73 = 231.21 m/s

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