A small bubble rises from the bottom of a lake, where the temperature and pressure are 4°C and 3.0 atm, to the water's surface, where the temperature is 25°C and the pressure is 0.95 atm. Calculate the final volume of the bubble if its initial volume was 2.1 mL.

Question

Physics

Rolando Jarvis

1 May, 09:59

A small bubble rises from the bottom of a lake, where the temperature and pressure are 4°C and 3.0 atm, to the water's surface, where the temperature is 25°C and the pressure is 0.95 atm. Calculate the final volume of the bubble if its initial volume was 2.1 mL.

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Answers (1)

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Holden Carroll · Answer 1

7.13mL

Explanation:

P₁V₁T₁ = P₂V₂T₂

P₁ = 3atm, V₁ = 2.1 mL, T₁ = 273 + 4 = 277K

P₂ = 0.95atm, V₂ = ?, T₂ = 273 + 25 = 298K

V₂ = P₁V₁T₂ / P₂T₁

V₂ = (3atm) (2.1 mL) (298K) / (0.95atm) (277K)

V₂ = 7.13mL