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

AI Thread Summary
To find the mass of air in a hot air balloon with a volume of 2000 m³ at 120°C, the ideal gas law equation PV=nRT is applicable. Given that the balloon is at atmospheric pressure, the pressure can be set at approximately 101,325 Pa. The temperature must be converted to Kelvin, resulting in 393.15 K. Using the molecular weight of air (28.8 g/mol), the mass can be calculated by first determining the number of moles (n) and then converting that to mass. This calculation is crucial for understanding the buoyancy and performance of the hot air balloon.
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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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Does PV=nRT ring any bells?
 
come on, some help please!
 
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]).
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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