Question #bd0ea

1 Answer
Jan 15, 2016

The volume of the bubble at the surface will be 600 mL.
Actually this would be the volume just under the surface, as the bubble would dissipate into the atmosphere at the surface.

Explanation:

Use the combined gas law, with the equation (P_1V_1)/T_1=(P_2V_2)/T_2. For gas laws, the temperature needs to be in Kelvins.

Given/Known
P_1="2.4 atm"
V_1="250 mL"
T_1="15"^"o""C"+"273.15 K=285 K"
P_2="1.0 atm"
T_2="27"^"o""C"+"273.15 K=300 K"

Unknown
V_2

Solution
Rearrange the equation to isolate P_2 and solve.

(P_1V_1)/T_1=(P_2V_2)/T_2

V_2=(P_1V_1T_2)/(T_1P_2)

V_2=(2.4"atm"xx250"mL"xx300"K")/(285"K"xx1.0"atm")="600 mL" (rounded to one significant figure)