Mass of the organic compound (X) can be calculated as:
Mass of X=Moles×Molar mass
Mass of X=2.0×10−3 mol×76 g mol−1=0.152 g
In the Carius method for sulphur estimation, the mass of sulphur in the given mass of BaSO4 is:
Mass of S=23332×Mass of BaSO4
Mass of S=23332×0.4813 g≈0.0661 g
The percentage of sulphur in the organic compound is given by:
% of S=Mass of XMass of S×100
% of S=0.1520.0661×100≈43.487 %
To express this in the requested format:
43.487 %=434.87×10−1 %
Rounding to the nearest integer, we get 435.
Answer: 435