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Nostrana [21]
3 years ago
9

It is recommended that drinking water contain 1.6 ppm fluoride (F−) for prevention of tooth decay. Consider a reservoir with a d

iameter of 4.70 ✕ 102 m and a depth of 14.2 m. (The volume is πr2h, where r is the radius and h is the height.) How many grams of F− should be added to give 1.6 ppm?
Physics
1 answer:
icang [17]3 years ago
7 0

Answer:

total amount of fluoride 3.6 *10^6 g

Explanation:

we know that

volume of reservoir = \pi r^2 h

                                  =\pi* [\frac{4.70*10^2}{2}]^2 *14.2

                                  = 2.25*10^6 m^3

denso=ity of water = 1000 kg/m3

mass of water = 1000*2.25*10^6

                         = 2.25*10^9 kg = 2.25*10^12 g

fluoride 1.6 ppm

total amount of fluoride = \frac{1.6}{10^6} * 2.25*10^{12} g

                                         = 3.6 *10^6 g

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Complete Question

You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.681 m apart. At what distance, in kilometres, are you marginally able to discern that there are two headlights rather than a single light source?Take the wavelength of the light to be 549 nm and your pupil diameter as 4.63 mm.  

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The distance is  z  = 4707.6 \ m

Explanation:

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    The is distance between the headlight is d = 0.681 \ m

   The wavelength is  \lambda = 549 \ nm = 549 *10^{-9} \ m

    The  pupil diameter is  D  = 4.63 \ mm = 0.00463 \ m

Generally, we can mathematically evaluate the resolution of the eye as

            \theta  = \frac{1.22 *  \lambda }{D}

    substituting values

              \theta  = \frac{1.22 *  549 *10^{-9} }{0.00463}

              \theta  =  (1.45 *10^{-4} )^o

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         sin \theta  =  \frac{ d}{z}

Where z is  the distance at which the eye can discern the two head light

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=>    \theta  =  \frac{ d}{z}

substituting values

     1.45*10^{-4}  =  \frac{ 0.681}{z}

=>   z  = \frac{0.681}{1.45 *10^{-4}}

=>    z  = 4707.6 \ m

   

6 0
4 years ago
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