A diver exhales a bubble with a volume of 250 mL at a pressure of 2.4 atm and a temperature of 15 °C.What is the volume of the bubble when it reaches the surface where the pressure is 1.0 atm and the temperature is 27 °C,if the amount of gas does not change?
A)580 mL
B)630 mL
C)100 mL
D)110 mL
E)1100 mL

Question

Quizplus · Accepted Answer

First, we need to convert the temperature and pressure to Kelvin and atmospheres, respectively.

Initial conditions:
Volume = 250 mL
Pressure = 2.4 atm
Temperature = 15 °C + 273 = 288 K

Final conditions:
Pressure = 1.0 atm
Temperature = 27 °C + 273 = 300 K

We can use the combined gas law, which relates the pressure, volume, and temperature of a gas:

(P1V1/T1) = (P2V2/T2)

We can rearrange the equation to solve for V2:

V2 = (P1V1T2) / (P2T1)

Plugging in the values:

V2 = (2.4 atm)(250 mL)(300 K) / (1.0 atm)(288 K)

V2 = 630 mL

Therefore, the volume of the bubble when it reaches the surface is 630 mL. Choice B is the correct answer.

A Diver Exhales a Bubble with a Volume of 250