Question

At what temp the rms velocity of hydrogen is double of its value ay N.T.P if pressure remain constant

Answer 1

Vrms=[3RT/M]^1/2

So, Vrms is proportional to T^1/2

Ratio of Vrms = 2/1

Normal temperature(T)=293.15K

So,(T'/T)^1/2=2/1
By squaring both sides,
T'=4T

T'=1172.6K

Hope it helps.

Answer 2

Dear Student,

◆ Answer -

T' = 919 °C

● Explanation -

Temperature at NTP is 25 °C i.e. 298 K.

RMS velocity of a gas is directly proportional to square root of temperature.

vrms/v'rms = √(T/T')

For v'rms = 2vrms,

vrms / 2vrms = √(T / T')

1/2 = √(T / T')

1/4 = T / T'

T' = 4T

T' = 4 × 298

T' = 1192 K

T' = 919 °C

Hence, at 919 °C the rms velocity of hydrogen is double of its value ay N.T.P.

Thanks dear. Hope this helps you...