(Std. 12th phy.3)
iii) The rms speed of molecules of a certain gas at 300K is 400 m/s. What
will be the rms speed, if the gas is heated to 600 K.
Answers
Answered by
7
Given info : The rms speed of molecules of a certain gas at 300 K is 400 m/s.
To find : what will be the RMS speed, if the gas is heated to 600K.
solution : RMS speed of an ideal gas is given by, v = √{3RT/M}
here you see, RMS speed is directly proportional to square root of temperature.
i.e., v ∝ √T
⇒v₁/v₂ = √(T₁/T₂)
here, v₁ = 400 m/s, v₂ = ? , T₁ = 300K , T₂ = 600K
so 400/v₂ = √(300/600) = 1/√2
⇒v₂ = 400√2 = 400 × 1.414 = 565.6 m/s
Therefore the rms speed of gas will be 565.6 m/s if it is heated to 600K.
Similar questions