The Ideal Gas Law and Calculating Volume at Different Temperatures

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In summary, a 18 cm3 air bubble at the bottom of a 40 m deep lake with a temperature of 3.0°C rises to the surface, which is at a temperature of 30°C. Using the equation p1v1/T1 = p2v2/T2, the volume of the bubble just as it reaches the surface is calculated to be 19.7608 cm3. The equation used was 18/(3+273) = x/(30+273).
  • #1
Forceflow
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An air bubble of volume 18 cm3 is at the bottom of a lake 40 m deep where the temperature is 3.0°C. The bubble rises to the surface, which is at a temperature of 30°C. Take the temperature of the bubble to be the same as that of the surrounding water. What is the volume of the bubble just as it reaches the surface?

So, my teacher told me to use p1v1/T1 = p2v2/T2 p1=pgh+p0

however, when i did the work, the answer i got was 19.7608
So, could someone set up the equation for me in case I'm doing it wrong?
 
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  • #2
How is p2 related to p1 and p0? What did you use for T1 and T2? Show us how you did the calculation.
 
  • #3
the only parts that i understand is the first equation which i set up like this..

18/(3+273)=x/(30+273)
 
  • #4
i solved it..thank you though
 

FAQ: The Ideal Gas Law and Calculating Volume at Different Temperatures

What is the difference between gas and pressure?

Gas is a state of matter that does not have a definite shape or volume, while pressure is the force exerted by a gas on its container. Gas molecules are constantly moving and colliding with each other and the walls of their container, creating pressure.

How is pressure measured?

Pressure is typically measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa). A common instrument used to measure pressure is a manometer, which consists of a U-shaped tube filled with a liquid that rises and falls as pressure changes.

What factors affect gas pressure?

The pressure of a gas is affected by its temperature, volume, and number of moles. According to Boyle's Law, the pressure of a gas is inversely proportional to its volume at a constant temperature. Additionally, Charles's Law states that the pressure of a gas is directly proportional to its temperature at a constant volume. Finally, Avogadro's Law states that the pressure of a gas is directly proportional to its number of moles at a constant temperature and volume.

What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the pressure, volume, temperature, and number of moles of an ideal gas. It is written as PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

How can the behavior of gases be explained by the kinetic molecular theory?

The kinetic molecular theory states that gas particles are in constant motion and have no definite volume or shape. It also explains that gas particles have no intermolecular forces and are far apart from each other, resulting in low density. This theory can be used to explain the relationship between gas volume, temperature, and pressure, as well as the diffusion and effusion of gases.

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