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  • Solve this problem Two soap bubbles coalesce to form a single bubble. If V is the subsequent change in volume of contained air and S the change in total surface area, T is the surface tension and P atmospheric pressure, which of the following relatio

Two soap bubbles coalesce to form a single bubble. If V is the subsequent change in volume of contained air and S the change  in total surface area, T is the surface  tension and P atmospheric pressure, which  of the following relation is correct ?        

 

  • Option 1)

    4PV+3ST=0

  • Option 2)

    3PV+4ST=0

  • Option 3)

    2PV+3ST=0

  • Option 4)

    3PV+2ST=0

 

Answers (1)

best_answer

As we have learned

Change in Pressure of bubble in air -

\Delta P=\left ( \frac{2T}{R} \right )\times 2= \frac{4T}{R}

- wherein

T- Temperature

R- Radius

 

                 

\left ( P + \frac{4 T}{r_1} \right )\left ( \frac{4 \pi }{3}r_{1}^{3} \right )+ \left ( P + \frac{4T}{r_2} \right )\frac{4 \pi }{3}r_{2}^{3}= \left ( P + \frac{4T}{r} \right )\frac{4\pi}{3}r^3

PV+ \frac{4T}{3}(4 \pi r_{1}^{2}+4 \pi r_{2}^{2}-4 \pi r^2)= 0

 \Rightarrow 3PV + 4TS = 0

 

 

 


Option 1)

4PV+3ST=0

Option 2)

3PV+4ST=0

Option 3)

2PV+3ST=0

Option 4)

3PV+2ST=0

Posted by

SudhirSol

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