Answer:
5.94
Explanation:
At equilibrium
[tex]CH_3NH_3^+\rightarrow CH_3NH_2+ H^+[/tex]
[tex]K_a=\frac{K_w}{K_b} = \frac{[CH_3NH_2][H^+] }{CH_3NH_3^+}[/tex]
⇒[CH3NH^+] = 0.130/2= 0.065 M
hence we can write that
[tex]\frac{10^{-14}}{5\times10^{-4}} = \frac{x^2}{0.065}[/tex]
x= concentration of H+ ions
⇒2×10^(-11)×0.065 = x^2
⇒x= 1.14×10^{-6}
therefore ph=log [H+]= log[ 1.14×10^{-6}]= 5.94