Question

The root mean square velocity of a gas is double when the temperature is

Answer 1

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The root mean square velocity of a gas is double when the temperature is increased four times.

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Answer 2

Answer:  

The ‘square velocity’ of a ‘gas is double’ when the ‘temperature is doubled’.

Solution:

The root mean ‘square velocity’ of a gas is directly proportional to the ‘square root of temperature’. This means that depending on the temperature, the speed or root mean ‘square velocity’ of gas will be varied.  

So, the root mean ‘square velocity’ will be doubled when the ‘temperature’ is also doubled.

Mathematically, it can represented as follows:

$\bold{v_{r m s} \propto \sqrt{T}}$

On squaring on ‘both sides’, we will get

$\bold{v_{r m s}^{2} \propto(\sqrt{T})^{2}=T}$