   # Cloth can be waterproofed by coating it with a silicone layer. This is done by exposing the cloth to (CH 3 ) 2 SiCl 2 vapor. The silicon compound reacts with OH groups on the doth to form a waterproofing film (density = 1.0 g/cm 3 ) of [(CH 3 ) 2 SiO] n , where n is a large integer number. n (CH 3 ) 2 SiCl 2 + 2 n OH – → 2 n Cl – + n H 2 O + [(CH 3 ) 2 SiO] n The coating is added layer by layer, with each layer of [(CH 3 ) 2 SiO] n being 0.60 nm thick. Suppose you want to waterproof a piece of doth that is 3.00 square meters, and you want 250 layers of waterproofing compound on the cloth. What mass of (CH 3 ) 2 SiCl 2 do you need? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 4, Problem 102GQ
Textbook Problem
92 views

## 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 doth to form a waterproofing film (density = 1.0 g/cm3) of [(CH3)2SiO]n, where n is a large integer number.n (CH3)2SiCl2 + 2n OH– → 2n Cl– + n H2O + [(CH3)2SiO]nThe 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 doth 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?

Interpretation Introduction

Interpretation:

The mass of (CH3)2SiCl2 needed to waterproof the given quantity of material has to be calculated.

Concept introduction:

• The mass of any material can be determined from its volume and density.  The mathematical relationship between mass, volume and density of material is,

Mass=Density×volume

• For chemical reaction balanced chemical equation is written in accordance with the Law of conservation of mass.
• Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.

### Explanation of Solution

Cloth can be waterproofed by coating it with a silicone layer and it 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 of [(CH3)2SiO]n where n is a large integer number.

The balanced equation for this reaction is,

n(CH3)2SiCl2+2nOH-2nCl-+nH2O+[(CH3)2SiO]n

The coating is added layer by layer, with each layer of [(CH3)2SiO]n being 0.60nm thick.

For 250 coats total thickness will be 0.6nm×250=150nmthick

1nm=1×10-7m150nm

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