Which method is used for the quantitative estimation of nitrogen in an organic compound?

Explain the Carius method and its principle for the estimation of halogen elements.

In Kjeldahl's method for the estimation of nitrogen,$3.88 \ mg$ of an organic compound produces ammonia which requires $5.73 \ mL$ of $0.011 \ N$ $HCl$ for neutralization. Calculate the percentage of nitrogen in the compound.

In the Dumas method for the estimation of nitrogen,$0.388 \ g$ of an organic compound yielded $1.31 \ mL$ of $N_2$ gas collected at $293 \ K$ temperature and $746 \ mm$ pressure. Calculate the percentage of nitrogen in the compound. (Aqueous tension at $293 \ K = 6 \ mm$). (in $\%$)

$6.46 \ g$ of $BaSO_4$ is obtained from $4.81 \ g$ of a compound in the estimation of sulphur by the Carius method. Calculate the percentage of sulphur in the compound. (Atomic masses: $Ba = 137, S = 32, O = 16$)

In sulphur estimation, $2.0 \times 10^{-3}$ mol of an organic compound $(X)$ (molar mass $76 \text{ g mol}^{-1}$) gave $0.4813 \text{ g}$ of barium sulphate (molar mass $233 \text{ g mol}^{-1}$). The percentage of sulphur in the compound $(X)$ is . . . . . . $\% \times 10^{-1}$ (Nearest integer).