Chapter 12.6, Problem 8P

To determine

To determine the distance between hydrogen atoms.

Answer to Problem 8P

The distance between two hydrogen atoms is $11.7\times {10}^{-9}$

Explanation of Solution

Given information :

  

Distance between hydrogen atoms is side BC

  

Here we shall use the cosine rule.

Cosine formula states that,

  $\cos A=\frac{b^2+c^2-a^2}{2bc}$

Put the values, we get,

  $\begin{array}{l}\cos 104.8=\frac{{\left(9.58\times {10}^{-9}\right)}^2+{\left(9.58\times {10}^{-9}\right)}^2-B{C}^2}{2\left(9.58\times {10}^{-9}\right)\left(9.58\times {10}^{-9}\right)}\\ -46.9\times {10}^{-18}=91.8\times {10}^{-18}-B{C}^2\\ B{C}^2=138.7\times {10}^{-18}\\ BC=11.7\times {10}^{-9}\end{array}$

Hence the distance between two hydrogen atoms is $11.7\times {10}^{-9}$