Consider a monatomic gas of particles each with mass m. what is vx,rms=⟨v2x⟩−−−−√, the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature t? express your an

The root mean square velocity is directly proportional to the square root of temperature.

The root mean square velocity is inversely proportional to the square root of the mass of the gas molecule and directly proportional to the Boltzmann constant.

So:

The expression for the root mean square velocity along x-direction is:

ν(rms) =  when n = 1 mole or it equals:

ν(rms) =  when n not 1 mole

Answer : The concentration after 225 s is, 0.099 M

Explanation :

As we know that, the graph of ln [A] versus time yields a straight line with slope 'k'.

So, Slope = k =

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  =

t = time passed by the sample  = 225 s

a = initial amount of the reactant  = 0.260 M

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

Therefore, the concentration after 225 s is, 0.099 M