The most probable speed of an oxygen molecule in the gas phase at room temperature is 450 m/s. The root-mean-square speed (urms) is therefore equal to 450 m/s. much greater than 450 m/s. slightly less than 450 m/s. much less than 450 m/s. slightly greater than 450 m/s.

Explanation:

We have,

The most probable speed of an oxygen molecule in the gas phase at room temperature is 450 m/s.

The formula of the most probable speed of a gas molecule is given by :

So,

The RMS speed of the gas molecule is given by :

Use equation (1) in above equation :

It is clear that the RMS speed of the gas molecule is greater than 450 m/s.

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml