Cloth can be waterproofed by coating it with a silicone layer. This is done by exposing the cloth to (CH₃)₂SiCl₂ vapor. The silicon compound reacts with OH groups on the cloth to form a waterproofing film (density = 1.0 g/cm³) of [(CH₃)₂SiO]_n, where n is a large integer number.

The coating is added layer by layer, with each layer of [(CH₃)₂SiO]_n being 0.60 nm thick. Suppose you want to waterproof a piece of cloth that is 3.00 square meters, and you want 250 layers of waterproofing compound on the cloth. What mass of (CH₃)₂SiCl₂ do you need?

Transcribed Image Text:

n (CH3)2SiCl₂ + 2n OH → 2n Cl + n H₂O + [(CH3)2SiO]n