## Related questions with answers

Question

Consider a 0.15-mm diameter air bubble in a liquid. Determine the pressure difference between the inside and outside of the air bubble if the surface tension at the air-liquid interface is (a) 0.080 N/m and (b) 0.12 N/m.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2(a) Calculate the pressure difference between outside and inside of the bubble,

$\begin{align*} &\Delta P = \frac{4 \sigma}{r}\\ &\Delta P = \frac{4 \cdot 0.08}{0.00015}\\ &\Delta P = 2133.33 \text{ N/m}^3\\ \end{align*}$

(b) Calculate the pressure difference between outside and inside of the bubble,

$\begin{align*} &\Delta P = \frac{4 \sigma}{r}\\ &\Delta P = \frac{4 \cdot 0.12}{0.00015}\\ &\Delta P = 3200 \text{ N/m}^3\\ \end{align*}$

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