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Question: Boric acid \({H_3}B{O_3}\) and \(B{F_3}\) have the same number of electrons. The former is a solid a...

Boric acid H3BO3{H_3}B{O_3} and BF3B{F_3} have the same number of electrons. The former is a solid and the latter is gas. The reason is:
A. BF2B{F_2} is a Lewis acid while B(OH)3B{(OH)_3} is not.
B. They have different geometries.
C. In BF3,FB{F_3},{F^ - } is smaller in size than OHO{H^ - } in B(OH)B(OH) .
D. No molecular association is possible in BF3B{F_3} while it is possible in B(OH)3B{(OH)_3} due to hydrogen bonding.

Explanation

Solution

Boric acid, also called hydrogen borate, boracic acid, and orthoboric acid is a weak, monobasic Lewis acid of boron. Boron trifluoride is the inorganic compound with the formula BF3B{F_3} . This pungent colorless toxic gas forms white fumes in moist air. It is a useful Lewis acid and a versatile building block for other boron compounds.

Complete step by step answer:
The three oxygen atoms form a trigonal planar geometry around the boron. The BOB - O bond length is 136 pm136{\text{ }}pm and the OHO - H is 97 pm97{\text{ }}pm . The molecular point group is C3h{C_{3h}} .Crystalline boric acid consists of layers of B(OH)3B{\left( {OH} \right)_3} molecules held together by hydrogen bonds of length 272 pm272{\text{ }}pm . The distance between two adjacent layers is 318 pm318{\text{ }}pm . Due to these hydrogen bonds present in the crystalline structure of boric acid, it remains intact in the solid state.
In the case of boron trifluoride, there is no interaction among the molecules of the BF3B{F_3} with the help of any kind of cohesive forces. Thus, it exists in the gaseous state.
Thus, the correct option is D. No molecular association is possible in BF3B{F_3} while it is possible in B(OH)3B{(OH)_3} due to hydrogen bonding.

Note:
The geometry of a molecule of BF3B{F_3} is trigonal planar. Its D3h{D_{3h}} symmetry confirms the prediction of VSEPR theory. The molecule has no dipole moment by virtue of its high symmetry. BF3B{F_3} is commonly referred to as "electron deficient," a description that is reinforced by its exothermic reactivity toward Lewis bases.