1 Find formula for the molar heat capacity of the gas in the bubble for such a process when the gas is heated so slowly that the bubble remains in a mechanical equilibrium and evaluate it;
Hint: Laplace showed that there is pressure difference between inside and outside of a curved surface, caused by surface tension of the interface between liquid and gas, so that Δp=r2σ.
Given constants:
A bubble of radius r=5.00cm, containing a diatomic ideal gas, has the soap film of thickness h=10.0μm and is placed in vacuum. The soap film has the surface tension σ=4.00⋅10−2mN and the density $\rho=1.10 \frac{\mathrm{g}}{\mathrm{cm}^{3}} .