6. A diver releases an air bubble of volume 2.50 cm3 from a depth of 15.5 m below the surface of a lake; there the temperature is 5.4 °C. What is the volume of the bubble when it reaches the surface of the lake, where the temperature is 25 °C? cm3 f60 ss sf60

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**Problem 6:** 

A diver releases an air bubble of volume 2.50 cm³ from a depth of 15.5 m below the surface of a lake, where the temperature is 5.4°C. What is the volume of the bubble when it reaches the surface of the lake, where the temperature is 25°C?

The solution requires applying the principles of gas laws, particularly Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. To solve this, convert the temperatures from Celsius to Kelvin, then apply the formula:

\[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \]

where:
- \( V_1 = 2.50 \, \text{cm}^3 \)
- \( T_1 = 5.4°C = 278.4 \, \text{K} \)
- \( T_2 = 25°C = 298 \, \text{K} \)
  
Solve for \( V_2 \), the volume at the surface.
Transcribed Image Text:**Problem 6:** A diver releases an air bubble of volume 2.50 cm³ from a depth of 15.5 m below the surface of a lake, where the temperature is 5.4°C. What is the volume of the bubble when it reaches the surface of the lake, where the temperature is 25°C? The solution requires applying the principles of gas laws, particularly Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. To solve this, convert the temperatures from Celsius to Kelvin, then apply the formula: \[ \frac{V_1}{T_1} = \frac{V_2}{T_2} \] where: - \( V_1 = 2.50 \, \text{cm}^3 \) - \( T_1 = 5.4°C = 278.4 \, \text{K} \) - \( T_2 = 25°C = 298 \, \text{K} \) Solve for \( V_2 \), the volume at the surface.
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