Small droplets of carbon tetrachloride at 68 °F are formed with a spray nozzle. If the average diameter of the droplets is 200 u

Question

2 months ago

10

m, what is the difference in pressure between the inside and outside of the droplets?

1 answer:

iogann1982 [368] · Answer 1 · 2026-03-19T16:38:58+03:00

Answer:

The variation in pressure between the droplet's interior and exterior is 538 Pa

Explanation:

Provided data

Temperature = 68 °F

Average diameter = 200 µm

To determine

the pressure difference across the droplets

Solution

The surface tension of carbon tetrachloride at 68 °F can be found in table 1.6 of physical properties of liquids which shows

σ = 2.69 × $10^{-2}$ N/m

thus, the average radius = $\frac{diameter}{2}$ = 100 µm = 100 × $10^{-6}$ m

Here the relationship between the pressure difference and surface tension is known

so we can derive the pressure difference as

2π×σ×r = Δp×π×r².....................1

where r refers to the radius, Δp denotes the pressure difference, and σ symbolizes the surface tension

Thus, Δp = $\frac{2 \sigma }{r}$

By inputting the values

Δp = $\frac{2*2.69*10^{-2}}{100*10^{-6}}$

Δp = 538

So, the pressure discrepancy between the inside and outside of the droplets equals 538 Pa