Answer:
[tex]pH=7.72[/tex]
Explanation:
Hello,
In this case, considering that TRIS is a weak base and the TRIS hydrochloride its conjugate acid with a pKa of about 8.08, we can use the Henderson-Hasselbach equation in order to compute the pH of the described solution:
[tex]pH=pKa+log(\frac{[TRIS]}{[TRIS-HCl]} )[/tex]
Next, we compute the concentrations of TRIS and TRIS hydrochloride as shown below (mol/L):
[tex][TRIS]=\frac{7.0g/(121.14g/mol)}{0.250L}=0.13M[/tex]
[tex][TRIS-HCl]=\frac{12.0g/(157.60g/mol)}{0.250L}=0.305M[/tex]
Then, the pH:
[tex]pH=8.08+log(\frac{0.13M}{0.305M} )\\\\pH=7.72[/tex]
Best regards!