COMEDK · Physics · 14. Kinetic Theory of Gases
A gas bubble of volume \(2 \mathrm{~cm}^3\) rises from the bottom of a pond of depth 10 m at \(17^0 \mathrm{C}\). What will be the volume of the bubble when it reaches the surface of the pond? Atmospheric temperature is \(27^{\circ} \mathrm{C}\) and the pressure at the bottom of the pond is double that of the pressure at the surface.
- A \(12.8 \mathrm{~cm}^3\)
- B \(4.1 \mathrm{~cm}^3\)
- C \(8.2 \mathrm{~cm}^3\)
- D \(6.4 \mathrm{~cm}^3\)
Answer & Solution
Correct Answer
(B) \(4.1 \mathrm{~cm}^3\)
Step-by-step Solution
Detailed explanation
Let \(P_1\) and \(V_1\) be the pressure and volume at the bottom of the pond, and \(P_2\) and \(V_2\) be the pressure and volume at the surface. Given \(V_1 = 2 \text{ cm}^3\). The temperature at the bottom is \(T_1 = 17 + 273 = 290 \text{ K}\). The temperature at the surface is…
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