Question

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

Answer 1

Answer:

$A = 7.5 \times 10^6 m^2$

Explanation:

Since volume of all the liquid is always conserved

so here we know that

$V_{total} = N V$

$25 cm^3 = N(\frac{4}{3}\pir^3)$

$25 = N (\frac{4}{3} \pi (1.0 \times 10^{-5})^3)$

$N = 5.97 \times 10^{15}$

now we know that total surface area is given as

$A = N(4\pi r^2)$

$A = (5.97 \times 10^{15})(4\pi (1 \times 10^{-5})^2$

$A = 7.5 \times 10^6 m^2$