Volume and Diameter Increase of Balloon in Stratosphere: Physical Chem Question

In summary, the question is asking to calculate the factor by which the volume and diameter of a balloon would increase as it rises from sea level and 20 degrees celsius to the stratosphere at 40km. The suggested solution is to use the volume-temperature relationship, V1/T1=V2/T2, with T1 as 293K (20 Celsius) and T2 as 270K, assuming standard temperature and pressure in the stratosphere. It is also assumed that pressure remains constant in the calculation.
  • #1
chemnoob.
9
0

Homework Statement


Calculate the factor by which the volume and the diameter of a balloon would increase as it rose from sea level and 20 degrees celsius to the stratosphere at 40km.


Homework Equations



PV=nRT

The Attempt at a Solution



I don't think I have enough information to solve?
 
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  • #2
dont use pv=nrt
here take as you have a volume temperature relationship
so it would be v1/t1=v2/t2
and your t1 should be 293K (20 Celsius) and your t2 would be 270K assuming that the conditions in the stratosphere are at STP. and of course your v1 is 0 and your v2 is unknown :)
hope it helped or at least what the question is asking
 
  • #3
Maz88 said:
dont use pv=nrt
here take as you have a volume temperature relationship
so it would be v1/t1=v2/t2
and your t1 should be 293K (20 Celsius) and your t2 would be 270K assuming that the conditions in the stratosphere are at STP. and of course your v1 is 0 and your v2 is unknown :)
hope it helped or at least what the question is asking

Don't I need to consider pressure? So I would use p1*v1/t1=p2*v2/t2. But I would need to be able to calculate pressure difference based on height? Any idea on how to do that?
 
  • #4
youre right you need to consider pressure, but i think that since its not mentioned in the question then you got to assume that it is constant.
 
  • #5
To calculate the factor by which the volume and diameter of the balloon would increase, we would need to know the initial volume and diameter of the balloon at sea level and 20 degrees Celsius, as well as the final volume and diameter at the stratosphere at 40km. Without this information, it is not possible to accurately calculate the increase in volume and diameter. Additionally, the ideal gas law equation (PV=nRT) may not be applicable in this scenario as the behavior of gases at high altitudes and low temperatures can deviate from ideal gas behavior. A more accurate approach would be to use the Van der Waals equation or a similar equation that accounts for the non-ideal behavior of gases.
 

What is the purpose of studying the volume and diameter increase of a balloon in the stratosphere?

The purpose of studying the volume and diameter increase of a balloon in the stratosphere is to understand the physical and chemical processes that occur at high altitudes. This information can be used to improve weather forecasting, satellite technology, and air travel safety.

How does the volume and diameter of a balloon change as it ascends into the stratosphere?

The volume and diameter of a balloon increase as it ascends into the stratosphere due to the decrease in air pressure. As the balloon rises, the air pressure decreases, causing the gas inside the balloon to expand and increase its volume. This increase in volume also leads to an increase in the balloon's diameter.

What factors affect the volume and diameter increase of a balloon in the stratosphere?

The main factors that affect the volume and diameter increase of a balloon in the stratosphere are the altitude, temperature, and pressure. As the balloon rises, the altitude increases, the temperature decreases, and the pressure decreases. All of these factors contribute to the expansion of the gas inside the balloon.

Can the volume and diameter increase of a balloon in the stratosphere be predicted?

Yes, the volume and diameter increase of a balloon in the stratosphere can be predicted using mathematical equations that take into account the altitude, temperature, and pressure. However, there may be some variations due to unpredictable atmospheric conditions.

How does the volume and diameter increase of a balloon in the stratosphere impact its flight and stability?

The volume and diameter increase of a balloon in the stratosphere can impact its flight and stability by making it more buoyant and less stable. As the balloon rises and expands, it becomes more buoyant and may experience changes in direction and altitude due to wind currents. This can affect its stability and control, making it more difficult to navigate.

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