Boyle's Law: Calculating Balloon Size at Surface After 40 m Descent

In summary, a diver releases a toy balloon of volume 10 cm^3 at a depth of 40 m in fresh water. The pressure increases at a rate of 1 atmosphere for every 10 m descent. The size of the balloon when it reaches the surface will be 10 cm^3, as the pressure at the surface is 1 atm.
  • #1
9giddjl
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Homework Statement


A diver dives to a depth of 40 m in fresh water where he releases a toy balloon of volume 10 cm^3. What will be the size of the balloon when it reaches the surface? (The pressure increass at a rate of 1 atmosphere for every 10 m descent in fresh water)


Homework Equations



P1V1=P2V2



The Attempt at a Solution



P1= 4 atm
V1= 10 cm^3
P2= ?
V1=?

I just don't know how to find the pressure when it reaches the surface... what would the pressure be?
Thankyou:)

Kind regards
 
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  • #2
The pressure at the surface of the water is the outside pressure, which you can probably assume to be 1 atm. So, more or less by definition of the unit "atmosphere", P2 = 1 atm.
You might want to check your value for P1, however.
 
  • #3
thankyou very much:) that makes sense:)
 

Related to Boyle's Law: Calculating Balloon Size at Surface After 40 m Descent

1. What is Boyle's Law?

Boyle's Law is a gas law that describes the relationship between pressure and volume of a gas at a constant temperature. It states that the pressure of a gas is inversely proportional to its volume, meaning that as pressure increases, volume decreases and vice versa.

2. How does Boyle's Law relate to calculating balloon size at surface after a 40 m descent?

In this scenario, Boyle's Law can be used to calculate the size of a balloon at the surface after a 40 m descent by using the equation P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. This equation shows that as the pressure increases during the descent, the volume of the balloon will decrease.

3. What factors influence Boyle's Law?

The factors that influence Boyle's Law include the temperature of the gas, the number of gas molecules, and the strength of the container holding the gas. These factors can affect the pressure and volume of the gas, thus impacting the relationship described by Boyle's Law.

4. How can Boyle's Law be applied in real-world situations?

Boyle's Law has many practical applications, such as in scuba diving where it is used to calculate the volume of air needed at different depths, or in the design of pressure vessels for industrial use. It is also used in medical settings, such as in the design of oxygen tanks for patients.

5. What are the limitations of Boyle's Law?

While Boyle's Law is a useful gas law, it has some limitations. It assumes that the temperature and amount of gas molecules remain constant, which may not always be the case. It also only applies to ideal gases, which do not exist in real life. Additionally, extreme temperatures and pressures can cause deviations from the expected relationship described by Boyle's Law.

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