The $\mathrm{C}-\mathrm{Br}$ bond length in $\mathrm{CBr}_{4}$ is $191 \mathrm{pm}$; the $\mathrm{Br}-\mathrm{Br}$ distance in $\mathrm{Br}_{2}$ is $228 \mathrm{pm}$. Estimate the radius of a $\mathrm{C}$ atom in $\mathrm{CBr}_{4}$. Use this value to estimate the $\mathrm{C}-\mathrm{C}$ distance in ethane, $\mathrm{H}_{3} \mathrm{C}-\mathrm{CH}_{3}$. How does your calculated bond length agree with the measured value of $154 \mathrm{pm}$ ? Are radii of atoms exactly the same in every molecule?
Added by Sara S.
Step 1
First, we need to find the radius of a Br atom. Since the Br-Br distance in Br2 is 228 pm, we can assume that the radius of a Br atom is half of this distance: Radius of Br = $\frac{228 \ \text{pm}}{2} = 114 \ \text{pm}$ Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 84 other Chemistry 101 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The bond length can be considered as approximately the sum of the atomic radii of the two bonded atoms. The atomic radii for single-bonded carbon and oxygen are $77 \mathrm{pm}$ and $74 \mathrm{pm}$, respectively. For double-bonded $\mathrm{C}$ and $\mathrm{O}$ the values are $67 \mathrm{pm}$ and $60 \mathrm{pm}$, respectively. Use these data to estimate the carbon-to-oxygen bond length in (a) methanol, $\mathrm{CH}_{3} \mathrm{OH} ;$ (b) dimethyl ether, $\mathrm{CH}_{3} \mathrm{OCH}_{3}$; (c) formaldehyde, $\mathrm{H}_{2} \mathrm{CO}$. Explain any difference among the bond lengths (see Table 6.1 as a reference).
Whe bond lengths in $\mathrm{F}_{2}$ and $\mathrm{Cl}_{2}$ molecules are $1.42 \mathrm{~A}$ and $1.98 \AA$, respectively. Calculate the atomic radii for these elements. Predict the Cl-F bond length. (The actual Cl-F bond length is $1.64$ A.) Draw a space-filling model of each of the three compounds.
Recommended Textbooks
Chemistry: Structure and Properties
Chemistry The Central Science
Chemistry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD