Question

The rms speed of molecules of a certain gas at 300 K is 400 m/ s. The rms speed if the gas is heated to 600 K is ______.

विकल्प

• 365.6 m/s

• 465.6 m/s

• 565.6 m/s

• 656.6 m/s

Answer 1

The rms speed of molecules of a certain gas at 300 K is 400 m/ s. The rms speed if the gas is heated to 600 K is 565.6 m/s.

Explanation:

`v_(rms)  asqrtT` for a given gas

∴ `v_2 = v_1sqrt (T_2/T_1)`

`= 400 xx sqrt (600/300)`

∴  `v_2 = 400 xx sqrt2 = 400 xx 1.414`

∴  v₂ = 565.6 m/s