A bubble has surface tension \( S \). The ideal gas inside the bubble has ratio of specific heats \( \gamma = \dfrac{5}{3} \). The bubble is exposed to the atmosphere and it always retains its spherical shape. When the atmospheric pressure is \( P_{a1} \), the radius of the bubble is found to be \( r_1 \) and the temperature of the enclosed gas is \( T_1 \). When the atmospheric pressure is \( P_{a2} \), the radius of the bubble and the temperature of the enclosed gas are \( r_2 \) and \( T_2 \), respectively.
Which of the following statement(s) is(are) correct?