Question

At what temperature will therms velocity of a gas be four times its value at STP?

Answer 1

At STP temperature T₁ = 273 K

v₂ = 4v₁

New RMS velocity of a gas, at temperature (T₂)

New temperature T₂ = ?

`v_rms=sqrt((3RT)/M)`

`v propsqrtT`

`v_1/v_2=sqrt(T_1/T_2)`

`v_1/(4v_1) = sqrt(273/T_2)`

Squaring on both side,

`1/16=273/T_2`

`T_2=16xx273`

T₂ = 4368 K