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Two identical soap bubbles each of radiu...

Two identical soap bubbles each of radius r and of the same surface tension `T` combine to form a new soap bubble of radius `R`. The two bubbles contain air at the same temperature. If the atmospheric pressure is `p_(0)` then find the surface tension T of the soap solution in terms of `p_(0)`, r and `R`. Assume process is isothermal.

Text Solution

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The correct Answer is:
`T = (p_(0)(2r^(3) - R^(3)))/(4(R^(2) - 2r^(2)))`
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