Final answer:
Hydrogen sulfide is polar because it has a bent structure with lone pairs of electrons on sulfur, causing an unequal distribution of charge. Methane is nonpolar due to its symmetrical tetrahedral shape and equal electron sharing between carbon and hydrogen atoms. So the correct option is b.
Step-by-step explanation:
The question asks why hydrogen sulfide is a polar compound while methane is a nonpolar compound, despite the fact that carbon and sulfur have almost the same electronegativities. The key difference here is the shape of the molecules and the presence of lone pairs of electrons on sulfur. Methane (CH4) has a tetrahedral geometry with carbon at the center and hydrogen atoms at the corners, with the electron sharing between the carbon and hydrogen atoms being fairly equal, resulting in a nonpolar molecule. However, hydrogen sulfide (H2S) has a bent structure due to the lone pairs on the sulfur atom, causing an unequal distribution of charge and hence, it is a polar molecule. The correct answer to the question is thus option 'b. A hydrogen sulfide molecule has lone pairs of electrons.'