Match Column-$I$ and Column-$II$ with the correct relation:
Column-$I$ Column-$II$
$(i)$. Estimation of carbon and hydrogen $(p)$. $AgX$
$(ii)$. Estimation of nitrogen $(q)$. $CO_2$ and $H_2O$
$(iii)$. Estimation of halogen $(r)$. $N_2$
$(iv)$. Estimation of sulphur $(s)$. $Mg_2P_2O_7$
$(v)$. Estimation of phosphorus $(t)$. $BaSO_4$

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(A) The correct matches are as follows:
$(i)$. Estimation of carbon and hydrogen involves the formation of $CO_2$ and $H_2O$.
$(ii)$. Estimation of nitrogen (Dumas method) involves the collection of $N_2$ gas.
$(iii)$. Estimation of halogen (Carius method) involves the formation of $AgX$ (where $X = Cl, Br, I$).
$(iv)$. Estimation of sulphur (Carius method) involves the formation of $BaSO_4$.
$(v)$. Estimation of phosphorus involves the formation of $Mg_2P_2O_7$.
Therefore,the correct relation is $(i-q, ii-r, iii-p, iv-t, v-s)$.

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