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The basic function of an automobile carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 25cm 3 of gasoline is atomized into N spherical droplets. Each droplet has a radius of 1.0 × 10 −5 m. Find the total surface area of these N spherical droplets

Respuesta :

Answer:

[tex]A = 7.5 \times 10^6 m^2[/tex]

Explanation:

Since volume of all the liquid is always conserved

so here we know that

[tex]V_{total} = N V[/tex]

[tex]25 cm^3 = N(\frac{4}{3}\pir^3)[/tex]

[tex]25 = N (\frac{4}{3} \pi (1.0 \times 10^{-5})^3)[/tex]

[tex]N = 5.97 \times 10^{15}[/tex]

now we know that total surface area is given as

[tex]A = N(4\pi r^2)[/tex]

[tex]A = (5.97 \times 10^{15})(4\pi (1 \times 10^{-5})^2[/tex]

[tex]A = 7.5 \times 10^6 m^2[/tex]

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