An air bubble of volume 2.9 cm³$2.9 \, \mathrm{cm}^{3}$ rises from the bottom of a swimming pool of 5 m deep. At the bottom of the pool water temperature is 17 °C$17 \, ^{\circ}\mathrm{C}$ . The volume of the bubble when it reaches the surface, where the water temperature is 27 °C$27 \, ^{\circ}\mathrm{C}$ , is ____ cm³$\mathrm{cm}^{3}$ . (g = 10 m/s²$g = 10 \, \mathrm{m/s}^{2}$ , density of water = 10³ kg/m³$10^{3} \, \mathrm{kg/m}^{3}$ , and 1 atm pressure is 10⁵ Pa$10^{5} \, \mathrm{Pa}$ )

Related Formula

Core Logic

The average translational kinetic energy of any gas molecule depends only on the absolute temperature of the gas and is independent of the nature or mass of the gas.

For 1 mole of any ideal gas, the average translational kinetic energy is (3)/(2)RT$\frac{3}{2}RT$. Therefore, at a given temperature, the kinetic energy parameter is uniform across all ideal gases.

Pattern Recognition

Temperature is directly proportional to average translational kinetic energy. If T is constant, KE is constant for all gases regardless of mass.

Chapter Mix

Class 11 Physics: Kinetic Theory