Question

At constant pressure, calculate the root mean square velocity at temperature 27 °C if its rms speed at 0°C is 4km/s

Answer 1

Hey dear,

◆ Answer -
(vrms)2 = 4.193 km/s

◆ Explanation -
# Given-
T1 = 0 °C = 273 K
T2 = 27 °C = 300 K
(vrms)1 = 4 km/s

# Solution-
RMS velocity is given by -
vrms = √(3kT/2)

Therefore,
(vrms)1 / (vrms)2 = √(T1/T2)
(vrms)2 = (vrms)1 × √(T2/T1)
(vrms)2 = 4 × √(300/273)
(vrms)2 = 4.193 km/s

Therefore, RMS velocity of gas at 27 °C is 4.193 km/s.


Hope this helps you...