(III) the dipole moment, considered as a vector points

Chapter 23, Problem 30P

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QUESTION:

(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 17-28, has a dipole moment \(\vec{p}\) which can be considered as the vector sum of the two dipole moments, \(\vec{p}_{1} \text { and } \vec{p}_{2}\), as shown. The distance between H and the O is about \(0.96 \times 10^{-10} m\). The lines joining the center of O atom with each H atom make an angle of 104o, as shown, and the net dipole moment has been measured to be \(p=6.1 \times 10^{-10} \mathrm{C} . \mathrm{m}\). Determine the charge q on each H atom.

Equation Transcription:

   

     

       

Text Transcription:

\vec p  

\vec p1 and \vec p2      

0.96 x 10-10m      

p=6.1 x 10-10C.m

Questions & Answers

QUESTION:

(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 17-28, has a dipole moment \(\vec{p}\) which can be considered as the vector sum of the two dipole moments, \(\vec{p}_{1} \text { and } \vec{p}_{2}\), as shown. The distance between H and the O is about \(0.96 \times 10^{-10} m\). The lines joining the center of O atom with each H atom make an angle of 104o, as shown, and the net dipole moment has been measured to be \(p=6.1 \times 10^{-10} \mathrm{C} . \mathrm{m}\). Determine the charge q on each H atom.

Equation Transcription:

   

     

       

Text Transcription:

\vec p  

\vec p1 and \vec p2      

0.96 x 10-10m      

p=6.1 x 10-10C.m

ANSWER:

Step-by-step solution

Step 1 of 2

The dipole moments of H and O in water molecule are

The vector sum of the dipole moments of p1 and p2 is P.

If the angle between equal dipole moments p1and p2 is 1040,  the angle between p1 and p is 520.

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