Volume of Balloon Unchanged When Pressure Doubled & Temp Changes

In summary, if the pressure inside the balloon is doubled, the temperature must also be doubled in order for the volume of the balloon not to change.
  • #1
ZiHao
10
0
A balloon is filled with a gas to a certain volume at a certain pressure at 22.0 degrees Celsius. If the pressure exerted on the balloon is doubled. explain what must the temperature ( in degrees Celcius) be so that the volume of the balloon doesn't change.

If the temperature changes, the volume of the balloon will also change. Higher temperature,more energetic therefore more particle collisions, vice versa. So how can the temperature change but the volume of the balloon does not change( according to the questions)? Thanks!
 
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  • #2
What makes you think that the balloons volume does not change? The volume of the balloon will change as the pressure does.
 
  • #3
I moved the thread to our homework section.
ZiHao said:
So how can the temperature change but the volume of the balloon does not change
The pressure inside and the pressure outside both increase.
 
  • #4
lekh2003 said:
What makes you think that the balloons volume does not change? The volume of the balloon will change as the pressure does.
What do the words in the problem statement "so that the volume of the balloon doesn't change." mean to you?
 
  • #5
ZiHao said:
A balloon is filled with a gas to a certain volume at a certain pressure at 22.0 degrees Celsius. If the pressure exerted on the balloon is doubled. explain what must the temperature ( in degrees Celcius) be so that the volume of the balloon doesn't change.

If the temperature changes, the volume of the balloon will also change. Higher temperature,more energetic therefore more particle collisions, vice versa. So how can the temperature change but the volume of the balloon does not change( according to the questions)? Thanks!
Please write down the equation for the ideal gas law. From this equation, if V is constant, what does the temperature have to do if the pressure doubles?
 
  • #6
Chestermiller said:
What do the words in the problem statement "so that the volume of the balloon doesn't change." mean to you?
I thought that OP was under the assumption that the volume cannot change. Apologies.
 

Related to Volume of Balloon Unchanged When Pressure Doubled & Temp Changes

What is the relationship between volume, pressure, and temperature in a balloon?

The volume of a balloon is directly proportional to its temperature and inversely proportional to its pressure. This means that as temperature increases, the volume of the balloon will also increase, and as pressure increases, the volume of the balloon will decrease.

Why does the volume of a balloon remain unchanged when pressure is doubled and temperature changes?

According to the ideal gas law, PV = nRT, the volume of a gas is directly proportional to the number of moles of gas (n) and the temperature (T), and inversely proportional to the pressure (P). When pressure is doubled, the volume decreases by half in order to maintain the same number of moles and temperature. This is known as Boyle's Law.

What is the significance of the volume of a balloon remaining unchanged when pressure is doubled and temperature changes?

This phenomenon is important in understanding the behavior of gases and how they react to changes in pressure and temperature. It also allows us to make predictions and calculations about the volume of a gas under different conditions.

Can the volume of a balloon change if both pressure and temperature are changed simultaneously?

Yes, the volume of a balloon can change if both pressure and temperature are changed simultaneously. This is because the effects of pressure and temperature on volume are not independent of each other, and the change in one variable can affect the others.

How is the volume of a balloon affected by changes in atmospheric pressure and temperature?

The volume of a balloon is affected by changes in atmospheric pressure and temperature in the same way as it is affected by changes in pressure and temperature in a closed system. If the atmospheric pressure decreases, the volume of the balloon will increase, and if the atmospheric temperature increases, the volume of the balloon will also increase.

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