Engineering
Physics
Surface Tension
Question

In a chamber full of air (molecular mass = 30 gm/mole) at a pressure of 20 Pa, a soap bubble of radius r = 1 cm is floating. Its thicknes is negligible (t << r). Its full of helium (molecular mass = 4 gm/mole). The surface tension of soap bubble is 340 N/m. The density of soap solution is 103 kg/m3. Room temperature = 300 K and R = 253 J/mol-K.

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Linked Question 1

What is the thickness of soap bubble.

8 × 10–10 m

163×1010m

283×1010m

163×107m

Solution
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Verified by Zigyan

p=20+4×440102=50

mg+43πr3ρHeg=43πr3×ρairg

4πr2s=43πr3ρHegρair ρHe

t=r3ρsρair ρHe

ρ=PMRT

=r3ρsRTPair ×Mair PHeMHe

=1023×103×300×25320×30×10350×4×103

=101075(400)

=4×4×10875×4=163×1010

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Linked Question 2

If the atmospheric pressure would be increased isothermally, the soap bubble would

expand and start rising

contract and remain stationary

contract and start rising

contract and start falling down

Solution
Verified BY
Verified by Zigyan

p=20+4×440102=50

mg+43πr3ρHeg=43πr3×ρairg

4πr2s=43πr3ρHegρair ρHe

t=r3ρsρair ρHe

ρ=PMRT

=r3ρsRTPair ×Mair PHeMHe

=1023×103×300×25320×30×10350×4×103

=101075(400)

=4×4×10875×4=163×1010

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Please subscribe our Youtube channel to unlock this solution.