I am still working on calculating the energy that is required to disassociate the Water in the Water path of Stan's injector drawing posted by Russ. First I had to calculate the Volume of the water path in the injector cell using the dementions on the drawings posted by Russ.
The volume can be calculated using the Volume of a Frustrum of a Cone formula. First you calculate the Volume of the open area using the Conical inner surface of .100 dia exit port and .176 dia inlet hole. Next calculate the Volume of the Electrode cone given .080 diameter tip and .110 diameter at the start of the cone.
Both have a length of .993 inches. Then the Volme of the Water path = Volume of Inner surface - Volume of the Electrode Cone.
Given that Volume of a Frustrum =
(1/3) pi * h ( R sqr + R * r + r sqr )
reference - http://www.roymech.co.uk/Useful_Tables/Maths/Mathematics.html
The Volume of the inner surface conical hole:
where r = .050, R = .088, and h = .993
Volume = (1/3) Pi * .993 * (.088 sqr + (.088 * .050) + .050 sqr)
= 1.039867168 * .014644
= .152278148 cubic inches
The volume of the tip surface of the probe:
where r = .040, R = .055, and h = .993
Volume = (1/3) Pi * .993 * (.055 sqr + ( .055 * .040 ) + .040 sqr)
=1.039867168 * .006825
= .007097093 cubic inches
The water path Volume:
Path Volume = Inner Surface Volume - Tip Surfce Volume
= .152278148 - .007097093
= .14518105457 cubic inches
Converting to cubic cm = .14518105457 * 16.387064
= 2.379091232 cubic cm
ref: https://www.google.com/#hl=en&gs_nf=1&tok=p69iBiIwpIPZCmXy-OE2qQ&cp=19&gs_id=2s&xhr=t&q=cubic+in+to+cubic+cm&pf=p&sclient=psy-ab&oq=cubic+in+to+cubic+c&aq=0&aqi=g2g-K1g-m1&aql=&gs_l=&pbx=1&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=190edb001faa8126&biw=1193&bih=736
Now, how much Water does this Water Path hold?
The average atomic mass of natural hydrogen is 1.00794 u and that of natural oxygen is 15.9994 u; therefore, the molecular mass of natural water with formula H2O is (2 × 1.00794 u) + 15.9994 u = 18.01528 u. Therefore, one mole of water has a mass of 18.01528 grams. However, the exact mass of hydrogen-1 (the most common hydrogen isotope) is 1.00783, and the exact mass of oxygen-16 (the most common oxygen isotope) is 15.9949, so the mass of the most common molecule of water is 18.01056 u.
ref : http://en.wikipedia.org/wiki/Molecular_mass
The Density oif Water at 25 deg C = .997044
ref :http://www2.volstate.edu/CHEM/Density_of_Water.htm
We can convert to grams of Water with the formula
Mass (grams) = Volume (cubic cm) * Density (gram/cubic cm)
ref: http://wiki.answers.com/Q/How_do_you_convert_ml_into_mole
Therefore Mass = 2.379091232 * .997044 = 2.372058638 grams of Water
or 2.372058638 ml of Water
We can turn this into moles by using the formula:
mm = m / n
molar mass = mass / moles
Therefore:
2.372058638 ml / 18.01056 u. = 0.131703769 moles of Water in the Water Path
ref: http://wiki.answers.com/Q/How_do_you_convert_ml_into_mole#ixzz1x2lpCZxB
ref : http://calculator-converter.com/converter_g_to_ml_grams_to_milliliters_calculator.php
Terry Dixon
The volume can be calculated using the Volume of a Frustrum of a Cone formula. First you calculate the Volume of the open area using the Conical inner surface of .100 dia exit port and .176 dia inlet hole. Next calculate the Volume of the Electrode cone given .080 diameter tip and .110 diameter at the start of the cone.
Both have a length of .993 inches. Then the Volme of the Water path = Volume of Inner surface - Volume of the Electrode Cone.
Given that Volume of a Frustrum =
(1/3) pi * h ( R sqr + R * r + r sqr )
reference - http://www.roymech.co.uk/Useful_Tables/Maths/Mathematics.html
The Volume of the inner surface conical hole:
where r = .050, R = .088, and h = .993
Volume = (1/3) Pi * .993 * (.088 sqr + (.088 * .050) + .050 sqr)
= 1.039867168 * .014644
= .152278148 cubic inches
The volume of the tip surface of the probe:
where r = .040, R = .055, and h = .993
Volume = (1/3) Pi * .993 * (.055 sqr + ( .055 * .040 ) + .040 sqr)
=1.039867168 * .006825
= .007097093 cubic inches
The water path Volume:
Path Volume = Inner Surface Volume - Tip Surfce Volume
= .152278148 - .007097093
= .14518105457 cubic inches
Converting to cubic cm = .14518105457 * 16.387064
= 2.379091232 cubic cm
ref: https://www.google.com/#hl=en&gs_nf=1&tok=p69iBiIwpIPZCmXy-OE2qQ&cp=19&gs_id=2s&xhr=t&q=cubic+in+to+cubic+cm&pf=p&sclient=psy-ab&oq=cubic+in+to+cubic+c&aq=0&aqi=g2g-K1g-m1&aql=&gs_l=&pbx=1&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=190edb001faa8126&biw=1193&bih=736
Now, how much Water does this Water Path hold?
The average atomic mass of natural hydrogen is 1.00794 u and that of natural oxygen is 15.9994 u; therefore, the molecular mass of natural water with formula H2O is (2 × 1.00794 u) + 15.9994 u = 18.01528 u. Therefore, one mole of water has a mass of 18.01528 grams. However, the exact mass of hydrogen-1 (the most common hydrogen isotope) is 1.00783, and the exact mass of oxygen-16 (the most common oxygen isotope) is 15.9949, so the mass of the most common molecule of water is 18.01056 u.
ref : http://en.wikipedia.org/wiki/Molecular_mass
The Density oif Water at 25 deg C = .997044
ref :http://www2.volstate.edu/CHEM/Density_of_Water.htm
We can convert to grams of Water with the formula
Mass (grams) = Volume (cubic cm) * Density (gram/cubic cm)
ref: http://wiki.answers.com/Q/How_do_you_convert_ml_into_mole
Therefore Mass = 2.379091232 * .997044 = 2.372058638 grams of Water
or 2.372058638 ml of Water
We can turn this into moles by using the formula:
mm = m / n
molar mass = mass / moles
Therefore:
2.372058638 ml / 18.01056 u. = 0.131703769 moles of Water in the Water Path
ref: http://wiki.answers.com/Q/How_do_you_convert_ml_into_mole#ixzz1x2lpCZxB
ref : http://calculator-converter.com/converter_g_to_ml_grams_to_milliliters_calculator.php
Terry Dixon