The basic function of the carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion. As an example, assume that 31.0 cm3 of gasoline is atomized into N spherical droplets, each with a radius of 8.00 10-5 m. What is the total surface area of these N spherical droplets?

Tang ina mo

To find the total surface area of N spherical droplets, we can use the formula for the surface area of a single sphere and then multiply it by the number of droplets.

The formula for the surface area of a sphere is:

Surface Area = 4πr^2

where r is the radius of the sphere.

Given that the radius of each droplet is 8.00 × 10^-5 m, we can plug this value into the formula:

Surface Area of a single droplet = 4π(8.00 × 10^-5)^2

Now, we need to find the total surface area of all N droplets. To do this, we multiply the surface area of a single droplet by the number of droplets (N):

Total Surface Area = (4π(8.00 × 10^-5)^2) * N

Now, we need to calculate the value. You have provided the number of droplets, N, and assuming N is known, we can proceed with the calculation.