Question

When temperature of gas become twice by heating then the gas dissociated from molecular form to atomic form .What will be effect on root mean square velocity

Answer 1

Answer on Question #44318-Physics-Molecular Physics-Thermodynamics

When temperature of gas become twice by heating then the gas dissociated from molecular form to atomic form. What will be effect on root mean square velocity

Answer

Root-mean-square speed is given by the formula

$$v _ {r m s} = \sqrt {\frac {3 k T}{m}},$$

where $m$ is the mass of one molecule of the gas, $k$ is the Boltzmann constant, $T$ is the temperature in kelvin.

The effect on root mean square velocity is various for various gases, but it will be grow.

For example, if we consider $O_2$ (oxygen), $N_2$ (nitrogen), etc., we can see that

$$v _ {r m s} ^ {\prime} = \sqrt {\frac {3 k \cdot 2 T}{\frac {m}{2}}} = 2 \sqrt {\frac {3 k T}{m}} = 2 \cdot v _ {r m s}.$$

So, the root mean square velocity was doubled.

http://www.AssignmentExpert.com/