We use 200 W tungsten lamp as source of light for degradation 20 mL methyl orange solution (10 ppm). How can calculate the irradiation intensity at the catalyst surface (mW/cm2)?
for an accurate light intensity measurement, you should use a digital power intensity meter, following the appropriate indications provided with the instrumentation.
If you prefer calculate it and your source of UV is isotropic , you can divide the total power (in watts) by 4π (12.57) to get the radiant intensity in watts/steradian. Then, you can estimate the irradiance (in watts/square meter) by dividing the radiant intensity by the square of the distance (in meters). This assumes the source is small enough to be considered a "point source" and your distance is large enough not to deviate from the inverse-square law.
I suggest you to have also a look at the following note:
Calculation of Luminaires Using Radiance by Krzysztof Wandachowicz
Available at: https://www.radiance-online.org//community/workshops/2004-fribourg/presentations/Wandachowicz_paper.pdf
I guess that the 200W are attributed to the electrical power of your UV lamp and not to the total optical UV power. In general there is a huge difference between electrical and optical power. Please have look at the data sheet for the UV power.
" Also editor wants the calculation of quantum yield. " This is the reason why you need to characterize your light source. The determination of the quantum yield is a pretty complicated procedure. You have to determine the number of absorbed photons by your catalyst and the number of formed (or consumed) molecules in the reaction. Commonly it's determined experimentally by a proper design of the experiment, especially by using the right light source. Personally, I would not even attempt to calculate the quantum yield using 200 W tungsten lamp as a source of light. The reviewer knew that you would be unable to answer his question. He probably used this question as an argument to reject your paper. If I'm a reviewer, I would do the same. Sorry, but your paper would be probably rejected by a respectable journal.
With respect, I disagree with your opinion. Because the reviewer could reject my manuscript at first. However, your opinion may be right. rejecting is not important for me. Finding the answer of my questions is important for me.
Thanks for feed back Saeedeh Shahbazkhany , but what is the optical output in the wave length range you need.
From that you can apply the calculation you have done above under the constraint hat the distance (here 20cm) is larger than the source dimension. See the anwser of Pierluigi Traverso .
You need to look at the datasheet of the lamp to calculate its radiant flux from wattage and (color temperature or efficacy). Then assume it's a point source and use the inverse square law.
apart from correct calculation, in the paper you should restrict the result to maximum 2 significant digits and mention that this result is a rough estimation of intensity due to crude point source approximation.
Do not use for example: 39.775 mW/cm² as calulated above.
Here for example go for: 'approximately 40mW/cm²' as statement in the paper.
For calculation of quantum yield, I need a single wavelength, while my light source is visible lamp and it has a range of wavelength (380-760 nm). is it calculable?