First slide

Thermometry

Question

An air bubble of volume V₀ is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmosphric pressure P above the lake. The volume of the bubble just before reaching the surface is (d is the density of water).

Easy

A

$\large V_0+\frac {hgd}{P}$
B

$\large \frac {V_0(P+hgd)}{P}$
C

$\large \frac {V_0}{P}+hgd$
D

$\large (V_0+V_0 gd)$

Solution

P₁V₁ = P₂V₂; at bottom (P + hdg)V₀ = PV₂
$\large V_2=\left ( \frac {P+dhg}{P} \right )(V_0)$

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