Answer: The concentration of X after 155 seconds is 0.13 M
Explanation:
[tex]X\rightarrow products[/tex]
[tex]rate=k[X]^2[/tex]
Integrated rate law for second order kinetics is given by:
[tex]\frac{1}{a}=kt+\frac{1}{a_0}[/tex]
[tex]a_o[/tex] = initial concentration = 0.45 M
a= concentration left after time t = ?
k = rate constant = [tex]0.035M^{-1}s^{-1}[/tex]
t = time of decmposition = 155 s
[tex]\frac{1}{a}=0.035\times 155+\frac{1}{0.45}[/tex]
[tex]a=0.13M[/tex]
Thus the concentration of X after 155 seconds is 0.13 M