Physics

Physics

Problem

A spherical bubble inside water has radius RR. Take the pressure inside the bubble and the water pressure to be p0p_0. The bubble now gets compressed radially in an adiabatic manner so that its radius becomes (R−a)(R-a). For a≪Ra \ll R the magnitude of the work done in the process is given by (4πp0Ra2)X(4\pi p_0 R a^2)X, where XX is a constant and γ=Cp/Cv=41/30\gamma = C_p/C_v = 41/30. The value of XX is _____.

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