The basic function of an automobile's carburetor is to atomize the gasoline and mix it with air to promote rapid combustion. Assume that 40 cm³ of gasoline is atomized into N spherical droplets. Each droplet has a radius of 2.0 *10^-⁵ m. Find the total surface area of these N spherical droplets. A) 60,000 cm² B) 24,000 cm² C) 20,000 cm² D) 2800 cm²

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The total surface area of the droplets is given by:$$A = 4\pi r^2 N$$where r is the radius of each droplet and N is the number of droplets.Substituting the given values, we get:$$A = 4\pi (2.0 	imes 10^{-5} 	ext{ m})^2 N$$$$A = 5.027 	imes 10^{-9} 	ext{ m}^2 N$$To convert this to cm^2, we multiply by 10^4:$$A = 5.027 	imes 10^{-5} 	ext{ cm}^2 N$$Since we don't know the value of N, we can't calculate the exact surface area. However, we can estimate it by assuming that N is a large number. For example, if we assume that N = 1000, then the surface area would be:$$A = 5.027 	imes 10^{-5} 	ext{ cm}^2 (1000)$$$$A = 50.27 	ext{ cm}^2$$This is closest to answer choice A, 60,000 cm^2.

The Basic Function of an Automobile's Carburetor Is to Atomize