A peptide has the sequence $Glu $-$ His $-$ Trp $-$ Ser $-$ Gly $-$ Leu $-$ Arg $-$ Pro $-$ Gly$
(a) What is the net charge of the molecule at $\mathrm{pH} 3,8,$ and $11 ?$ (Use $\mathrm{p} K_{\mathrm{a}}$ values for side chains and terminal amino and carboxyl groups as given in Table 3-1.)
(b) Estimate the pI for this peptide.