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A diver exhales a bubble with a volume of 250 mL at a pressure of 2.42 atm and a temperature of 15 °C. What is the volume of the bubble when it reachesthe surface where the pressure is 0.95 atm and the temperature is 28 °C? Show all your workYour Answer

A Diver Exhales A Bubble With A Volume Of 250 ML At A Pressure Of 242 Atm And A Temperature Of 15 C What Is The Volume Of The Bubble When It Reachesthe Surface class=

Sagot :

Answer:

The volume of the bubble when it reaches the surface is 1,186.2mL.

Explanation:

The data of the initial state of the bubble is:

• V1= 250mL

,

• P1= 2.42atm

,

• T1= 15°C

The data of the final state of the bubble is:

• V2= this is what we are going to calculate.

,

• P2= 0.95atm

,

• T2=28°C

Now, with the ideal gas formula we can calculate the final volume of the bubble:

[tex]\begin{gathered} \frac{P_1*V_1}{T_1}=\frac{P_2*V_2}{T_2} \\ \frac{2.42atm*250mL}{15°C}=\frac{0.95atm*V_2}{28°C} \\ 40.33\frac{atm*mL}{°C}=0.034\frac{atm}{°C}*V_2 \\ \frac{40.33\frac{atm*mL}{°C}}{0.034\frac{atm}{°C}}=V_2 \\ 1,186.2mL=V_2 \end{gathered}[/tex]

So, the volume of the bubble when it reaches the surface is 1,186.2mL.

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