What is the mass of air in a hot air balloon with these conditions?

In summary, the given problem involves a hot air balloon with a volume of 2000m^3 and atmospheric pressure, and the task is to find the mass of air at a temperature of 120°C. Using the equation PV=nRT, where the gas constant R has a value of 8.314472 J·K−1·mol−1 in SI units, the mass of the air can be calculated. However, the given information does not include enough data to solve the problem.
  • #1
jgoff14
16
0

Homework Statement



A hot air balloon has a volume of 2000m^3, and air is always at atmospheric pressure due to large opening. What is the mass of the air if the temp is 120*c. Assume a molecular weight of 28.8g/mol for the air)


Homework Equations



PV=nrt

The Attempt at a Solution



I don't really have one, my class notes on this section are not clear, and the instructor was gone but still expected us to learn it. I don't get it. Please help, this is due tonight at midnight my whole grade hangs in the balance.
 
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  • #2
Does PV=nRT ring any bells?
 
  • #3
come on, some help please!
 
  • #4
http://en.wikipedia.org/wiki/Pv=nrt

The state of an amount of gas is determined by its pressure, volume, and temperature. The modern form of the equation is:
(PV = nRT )

where p is the absolute pressure of the gas; V is the volume; n is the amount of substance; R is the gas constant; and T is the absolute temperature.

In SI units, p is measured in pascals; V in cubic metres; n in moles; and T in kelvins. R has the value 8.314472 J·K−1·mol−1 in SI units[4]).
 

1. What is the definition of mass?

Mass is a measure of the amount of matter in an object. It is often measured in grams or kilograms.

2. How does temperature affect the mass of air?

As temperature increases, the mass of air also increases. This is because the particles in the air gain more energy and move faster, causing an increase in their mass.

3. What is the relationship between mass and volume in the context of a hot air balloon?

In a hot air balloon, the mass of the air inside the balloon is directly proportional to its volume. This means that as the mass of the air increases due to heating, the volume of the balloon also increases.

4. How do you calculate the mass of air in a hot air balloon?

The mass of air in a hot air balloon can be calculated by multiplying the density of air (typically 1.2 kg/m3) by the volume of the balloon in cubic meters.

5. Can the mass of air in a hot air balloon change?

Yes, the mass of air in a hot air balloon can change due to factors such as temperature, altitude, and changes in the amount of air inside the balloon. As the air cools, its mass decreases and the balloon will start to descend. Similarly, heating the air will increase its mass and cause the balloon to rise.

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