A synthetic ion exchange resin is prepared in an IYTE research laboratory. An ion exchange column containing the synthetic ion exchange resin was used to remove $C{a}^{+}$ion from $0\mathrm{.}2$MCaCl solution which is fed to column at a flow rate of $0\mathrm{.}8m\frac{l}{s}.$ Initial $pH$ of the CaCl and $HCl$ solutions were also recorded as $5\mathrm{.}38$ and $1\mathrm{.}32$ respectively. $pH$ of the outlet solution was measured as function of time and the data is given below. Calculate the total ion exchange capacity of the synthetic resin in $me\frac{q}{m}l$

$V($ resin$+$water $)=17ml,V($ water $)=6ml$

$\begin{array}{cc}\text{T}\text{i}\text{m}\text{e}(min.)& pH\\ 0& 4\mathrm{.}8\\ 2& 1\mathrm{.}5\\ 4& 2\mathrm{.}2\\ 6& 4\mathrm{.}5\\ 8& 5\mathrm{.}2\\ 10& 5\mathrm{.}3\end{array}$

$d\frac{q}{d}t=\frac{(h-h_0)**v+V_L**(\frac{h}{}t)}{V_R}$

h : $H+$ concentration in the solution leaving the column, meq $\frac{?}{ml}.$

ho : $H+$ concentration in the solution entering the column, $me\frac{q}{m}l.$

$t$ : Time, s$.$

$v$ : Volumetric flow rate of solution, $m\frac{l}{s}.$

$V_R$ : Volume occupied by the resin beads in the column, $ml.$

$V_L$ : Volume occupied wy the liquid in the column, $ml$ SOLVE DIFFERENT THAN OTHER ANSWERS OF THIS QUESTION.